July 15, 2002 O P - S F N E T Volume 9, Number 4 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Editor: Martin Muldoon muldoon@yorku.ca The Electronic News Net of the SIAM Activity Group on Orthogonal Polynomials and Special Functions Please send contributions to: poly@siam.org Subscribe by mailing to: poly-request@siam.org or to: listproc@nist.gov o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o Today's Topics: 1. Message from the Editor 2. Message from the Chair 3. Madison Session on Special functions and Combinatorics 4. Seville Special Session on Constructive Approximation Theory 5. Fourth ISAAC Congress 2003 6. OPSFA 2003 - Copenhagen 7. Vanderbilt Special Year in Approximation Theory 8. Special Functions in the Digital Age 9. Minneapolis Workshop on Special Functions 10. Obituary: Wolfgang Thron 11. Book on Generalized Associated Legendre Functions 12. Book on Series Associated with the Zeta and Related Functions 13. Nominations: The Jurgen Moser Lecture 14. Nominations: J.D. Crawford Prize 15. Preprints in xxx Archive 16. About the Activity Group 17. Submitting contributions to OP-SF NET and Newsletter Calendar of Events: 2002 July 22 - August 2: IMA Summer Program "Special Functions in the Digital Age" Minneapolis, Minnesota 8.2 #7 8.6 #9 9.4 #8 August 5-7: Workshop on Special Functions at FoCM'02, "Foundations of Computational Mathematics" Minneapolis, Minnesota, USA 8.1 #1 8.6 #10 9.4 #9 August 12-17: Summer school in Orthogonal Polynomials and Special Functions, Leuven, Belgium 8.4 #4 9.2 #5 September 2-6: Summer School on Approximation Methods in Systems Theory, Laredo, Spain. 9.1 #6 September 23-27: International Conference on Special Functions and their Applications, Chennai, India 9.2 #4 October 12-13: Special Session on Special functions and Combinatorics during the AMS meeting, Madison, Wisconsin, USA 9.4 #3 2003 January 15-18: Annual Meeting of American Mathematical Society including special session on "Special Functions and q-Series" Baltimore, Maryland, USA 9.3 #1 May 14-17: Advances in Constructive Approximation, Nashville, Tennessee, USA 9.4 #7 June 18-21: Special session on "Constructive Approximation Theory" during the AMS-RSME Joint Meeting, Seville, Spain 9.4 #4 July 7-11: 5th International Congress on Industrial and Applied Mathematics, ICIAM 2003, Sydney, Australia. 8.6 #6 August 11-16: Fourth ISAAC Congress, Toronto, Canada 9.2 #6 9.4 #5 August 18-22: Seventh International Symposium on Orthogonal Polynomials, Special Functions and Applications, Copenhagen, Denmark 8.6 #7 9.4 #6 Future plans: There are plans to organize a summer school on Orthogonal Polynomials and Special Functions in Portugal in July 2003. (Contact person: Amilcar Branquinho). This is in the series Laredo (2000), Inzell (2001) and Leuven (2002; see Topic #5). The coordinator of the three summer schools is Erik Koelink (koelink@dutiaw4.twi.tudelft.nl). These summer schools are part of our Activity Group's scientific program. The scientific committee consists of Erik Koelink, Rupert Lasser, Amilcar Branquinho, Paco Marcellan and Walter Van Assche. Dan Lozier (Topic #2 below) suggests a SIAM-sponsored meeting in Orthogonal Polynomials and Special Functions to be held in Washington, DC in June 2004. Topic #1 ------------- OP-SF NET 9.4 ---------------- July 15, 2002 ~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: Message from the Editor In this issue we give new or revised information on several conferences. By the time you read this the major event "Special Functions and the Digital age" will be underway in Minneapolis. See Topic #8 for more information. In Topic #2, Dan Lozier brings news of some major initiatives to be undertaken by the Activity Group. Sadly, the past few months have brought news of the deaths of two people in the OPSF community. Dr. William R. ("Bill") Allaway died in Thunder Bay, Ontario on February 14, 2002. Bill was born in 1940 and got his PhD under the supervision of Waleed Al-Salam at he University of Alberta in 1972. His thesis work formed the basis for what came to be called sieved orthogonal polynomials. Bill spent most of his academic career at Lakehead University. Dr Harold Exton died in August 2001, aged 73. Exton was a prolific contributor to our subject with several books and 146 papers mentioned in MathSciNet. Of these 127 papers have primary or secondary MSC classification 33. I am indebted to Tom Koornwinder for this information. Topic #2 ------------- OP-SF NET 9.4 ---------------- July 15, 2002 ~~~~~~~~~~~~~ From: Daniel Lozier Subject: Message from the Chair Message from the Chair In this message I will report on two recent developments that should be of interest to all members of our activity group. Possible Establishment of Szego Prize In a previous message from the chair, I mentioned the idea of establishing a SIAM OPSF Prize. This idea was discussed last year at the activity group membership meeting during the OPSFA conference in Rome, and the name Szego Prize was suggested. The discussion centered around the idea of a cash prize to be awarded to a young researcher every third year. The feeling I got at the time was that the members in attendance were enthusiastically in favor of trying to establish such a prize and to name it for Gabor Szego. I brought the subject up with Jim Crowley, Executive Director of SIAM, at the SIAM Annual Meeting. I had discussed it with him previously but this was a more in-depth consideration of how it could be established. It turns out that SIAM's support for prizes is generous. But the activity group membership also has a financial role to play, if we want to have a cash award. Specifically, it is our responsibility to raise a sufficient amount of money, call it an endowment, such that the earnings from the endowment would cover any cash award for the prize recipient. The administration of the endowment would be done at SIAM, which relieves us of any necessity to handle money. As for earnings, SIAM imputes an investment return from its own investment program that is added into the endowment. In addition, SIAM will cover the full cost of travel, lodging, registration and incidental expenses for the recipient to attend the SIAM Annual Meeting and receive the award. Prizes, some with and some without cash awards, are presented by several other SIAM activity groups. The criteria for these prizes can be seen at http://www.siam.org/prizes/. Our next step, if the membership wishes to proceed, will be to develop similar criteria for consideration by the appropriate SIAM governing bodies. I am assuming the activity group membership wishes its leadership to go ahead with this plan. If there are dissenting opinions, please let me know by October 1. Finally, I expect to form a committee to develop a proposal and fund-raising strategy. The activity group officers will take the lead in this work. Voluteers to assist the committee will be very welcome. If you are interested, please contact me. Possible SIAM OPSFA Meeting in Washington in 2004 Personally, I would very much like to have a SIAM-sponsored international conference on OP and SF during my remaining time as Chair of the activity group. This has never been done in our activity group, and in fact ours is the only activity group in SIAM that has never had its own conference. Here again there are real advantages to working with SIAM. The conference staff at SIAM will handle almost all necessities such as negotiating with a hotel, advertising and mailing, and collecting and expending money. Our responsibility is limited, chiefly, to putting together the scientific program. Rather than compete with the already existing and very successful OPSFA series, I would offer to hold a SIAM-sponsored OPSFA conference in 2004 (I am unaware if another institution has already offer to sponsor OPSFA in 2004). This would be in Washington, DC, in June 2004. There is another interesting opportunity with regard to the proposed conference. A colleague of mine at NIST, Ron Boisvert, is chair of a mathematical software working group (WG2.5) that is part of IFIP (International Federation of Information Processing Societies). His group holds an annual business meeting which is usually accompanied by an informal open workshop with 35-50 attendees. WG2.5 has expressed interest in holding its meeting in Washington in conjunction with the OPSFA conference, with the theme for its technical program centered on software for special functions and applications. The mutual interaction might well be beneficial to both groups. Ron and I discussed these possible plans with Jim Crowley at the SIAM meeting. Jim was very supportive. He encouraged us to go ahead and take the issue to our respective memberships. I hope you will send me your thoughts, whether for or against or somewhere in between. Dan Lozier lozier@nist.gov Chair, SIAM OPSF Activity Group Topic #3 ------------- OP-SF NET 9.4 ---------------- July 15, 2002 ~~~~~~~~~~~~~ From: Paul Terwilliger Subject: Madison Session on Special functions and Combinatorics There will be a special session on Special functions and Combinatorics during the meeting of the American Mathematical Society in Madison Wisconsin, October 12-13, 2002. Organizers: Richard Askey and Paul Terwilliger Topics: The orthogonal polynomials of the Askey scheme and related topics in combinatorics, representation theory and integrable systems. If you are interested in participating please contact one of the organizers. General information about the conference can be found at the AMS website http://www.ams.org/meetings/ Topic #4 ------------- OP-SF NET 9.4 ---------------- July 15, 2002 ~~~~~~~~~~~~~ From: Renato Alvarez-Nodarse Subject: Seville Special Session on Constructive Approximation Theory The American Mathematical Society has approved a special session on "Constructive Approximation Theory" for the First Joint International Meeting of the American Mathematical Society (AMS) and the Real Sociedad Matematica Espanola (RSME) to be held in Seville (Spain), June 18-21, 2003. This session is organized by Antonio Duran, University of Sevilla and Edward B. Saff, Vanderbilt University . The topics to be considered are Aproximation Theory, Orthogonal Polynomials and related topics. Further information will appear on the web site: http://www.us.es/rsme-ams/ and also in the AMS WWW page http://www.ams.org/amsmtgs/2083_program.html Topic #5 ------------- OP-SF NET 9.4 ---------------- July 15, 2002 ~~~~~~~~~~~~~ From: Martin Muldoon Subject: Fourth ISAAC Congress 2003 [This information is from the Congress web page: http://www.math.yorku.ca/isaac03/] The ISAAC (International Society for Analysis, its Applications and Computation) board, the local organizing committee and the Department of Mathematics and Statistics at York University, are pleased to announce that the fourth ISAAC Congress will be held at York University in Toronto, Canada, from August 11, 2003 to August 16, 2003. Plenary Speakers (Some of them have to be confirmed.) Richard A. Askey (University of Wisconsin-Madison) (Special Functions and Orthogonal Polynomials) Vladimir Georgiev (University of Pisa, Italy) (Hyperbolic PDE) Peter C. Greiner (University of Toronto) (PDE, Geometric Analysis) Peter D. Lax (Courant Institute of Mathematical Sciences) (Functional Analysis, PDE, Computing) M. Zuhair Nashed (University of Delaware) (Wavelets, Inverse Problems, Numerical Functional Analysis) Louis Nirenberg (Courant Institute of Mathematical Sciences) (PDE, Differential Geometry, Complex Analysis) Luigi Rodino (University of Torino, Italy) (PDE, Microlocal Analysis) Elias M. Stein (Princeton University) (Harmonic Analysis, PDE) Gilbert Strang (MIT) (Wavelets, Applied Mathematics, Numerical Analysis) James S. Walker (University of Wisconsin-Eau Claire) (Time-Frequency Analysis, Wavelets, Fourier Analysis) Special Sessions and Organizers 1.D. Alpay (Ben-Gurion University, Israel) J. A. Ball (Virginia Polytechnic Institute and State University, U.S.A.) T. Ohsawa (Nagoya University, Japan) S. Saitoh (Gunma University, Japan) Reproducing Kernels and Related Topics 2.Ryuichi Ashino (Osaka Kyoiku University, Japan) Paolo Boggiatto (University of Torino, Italy) M. W. Wong (York University, Canada) Pseudo-Differential Operators 3.Rauno Aulaskari (University of Joensuu, Finland) Jari Taskinen (University of Joensuu, Finland) Banach Spaces of Analytic Functions 4.Greigor Barsegian (Armenian Academy of Sciences, Armenia) Alain Escassut (Université Blaise Pascal, Clermont-Ferrand, France) Value Distributions of Complex Functions, Generalizations and Related Topics 5.Heinrich Begehr (Freie Universität Berlin, Germany) Alberto Cialdea (Università della Basilicata, Italy) Complex and Functional Analytic Methods in Partial Differential Equations 6.Alain Bourgeat (Centre National de la Recherche Scientifique, France) Robert P. Gilbert (University of Delaware, U.S.A.) Alex Panchenko (Pennsylvania State University, U.S.A.) Homogenization 7.Victor Burenkov (Cardiff University, U.K.) Function Spaces and Applications 8.Galia Dafni (Concordia University, Canada) Andrea Fraser (Dalhousie University, Canada) Harmonic Analysis and Its Applications to Partial Differential Equations 9.Dao-Qing Dai (Zhongshan University, P. R. China) Wei Lin (Zhongshan University, P. R. China) Applied Complex Analysis 10.Robert P. Gilbert (University of Delaware, U.S.A.) Armand Wirgin (LMA/CNRS, Marseille, France) Yongzhi Xu (University of Tennessee-Chattanooga, U.S.A.) Inverse Problems 11.Steve Hou (Iowa State University, U.S.A.) Numerical Partial Differential Equations 12.Huaxiong Huang (York University, Canada) Applied/Computational Analysis 13.Nils Jacob (University of Wales at Swansea, U.K.) Stochastic Analysis and Applications 14.Anatoly Kilbas (Belarusian State University, Belarus) Stefan Samko (Universidade do Algarve, Portugal) Fractional Calculus and Applications 15.P. A. Krutitskii (Moscow State University, Russia) Boundary Value Problems and Integral Equations 16.Irena Lasiecka (University of Virginia, U.S.A.) Walter Littman (University of Minnesota, U.S.A.) Roberto Triggiani (University of Virginia, U.S.A.) Control Theory of Partial Differential Equations 17.Martin Muldoon (York University, Canada) Orthogonal Polynomials and Special Functions 18.M. Zuhair Nashed (University of Delaware, U.S.A.) Interaction of Inverse Problems and Image Analysis 19.M. Zuhair Nashed (University of Delaware, U.S.A.) Sampling Theory in Signal Processing 20.Michael Reissig (Technische Universität Bergakademie Freiberg, Germany) D. Del Santo (Università di Trieste, Italy) Hyperbolic Problems: Degeneracies, Nonlinearities and Global Existence 21.John Ryan (University of Arkansas, U.S.A.) Wolfgang Sprössig (Freiberg University for Mining and Technology, Germany) Clifford Analysis, Applications and Related Topics 22.Bernd Silbermann (Technical University of Chemnitz-Zwickau, Germany) Nikolai Vasilevski (Cinvestav del I.P.N., Mexico) Toeplitz-Like Structures in Analysis and Applied Sciences 23.S. P. Singh (Memorial University of Newfoundland, Canada) Nonlinear Analysis and Applications 24.Promarz M. Tamrazoo (Academy of Sciences, Ukraine) Complex Analysis and Potential Theory 25.Keith Taylor (University of Saskatchewan, Canada) Operator Algebras 26.Jingzhi Tie (University of Georgia, U.S.A.) M. W. Wong (York University, Canada) Analysis on the Heisenberg Group 27.James S. Walker (University of Wisconsin-Eau Claire, U.S.A.) Time-Frequency Analysis, Wavelets and Applications Local Information York University is located in the Northwest part of the city of Toronto, about a 20-minute drive from Pearson International Airport. It is about 1.5 km S of highway 407/ETR ("Express Toll Route") and about one hour from downtown Toronto by public transportation. Accommodation will be available on campus (details to be announced) as well as in neighbouring hotels. Local Organizing Committee Qiuming Cheng Huaxiong Huang Martin Muldoon (Chair) Sid Scull Marshall Walker Man Wah Wong Correspondence on the scientific program should be directed to Man Wah Wong: mwwong@mathstat.yorku.ca The 3rd ISAAC Congress was held in Berlin in 2001. See http://www.math.fu-berlin.de/~isaac/ This series should not be confused with the meetings sponsored by ISSAC (International Symposium on Symbolic and Algebraic Computation). Nor should we confuse this ISAAC with another one: International Society for Augmentative and Alternative Communication. Topic #6 ------------- OP-SF NET 9.4 ---------------- July 15, 2002 ~~~~~~~~~~~~~ From: Henrik Laurberg Pedersen Subject: OPSFA 2003 - Copenhagen The seventh International Symposium on Orthogonal Polynomials, Special Functions and applications, Copenhagen, August 18-22, 2003. First circular. The purpose of this email is to inform you about the status of the preparations for the meeting including information on financial support for young participants. The following have accepted our invitation as plenary speakers: * Professor Richard Askey, University of Wisconsin, Madison, USA * Professor Percy Deift, New York University, USA * Professor Antonio J. Duran, University of Sevilla, Spain * Professor Uffe Haagerup, University of Southern Denmark, Denmark * Professor Mourad Ismail, University of South Florida, USA * Professor Erik Koelink, Technical University Delft, the Netherlands * Professor Masatoshi Noumi, Kobe University, Japan * Professor Franz Peherstorfer, University of Linz, Austria * Professor Simon Ruijsenaars, Center for Mathematics and Computer Science, the Netherlands * Professor Jan Felipe van Diejen, University of Talca, Chile * Professor Yuan Xu, University of Oregon, USA Professor Paolo Emilio Ricci has accepted to chair a Problem Session. The invitations have been decided in consultations with the Scientific Committee: Professor Antonio J. Duran, University of Sevilla, Spain Professor Mourad E. H. Ismail, University of South Florida, USA Professor Erik Koelink, Technical University Delft, the Netherlands Professor Paolo Emilio Ricci, University of Rome "La Sapienza", Italy Professor Vilmos Totik, Bolyai Institute, Hungary and University of South Florida, USA Professor Christian Berg, University of Copenhagen Associate Professor Henrik L. Pedersen, University of Copenhagen This information is available from the conference home page http://www.math.ku.dk/conf/opsfa2003/ You are welcome to spread the information about the conference to potentially interested colleagues. (Those who have participated in the meetings in Rome and/or Patras should be on our email list.) There will be opportunities to present shorter talks in parallel sessions. We are also pleased to inform you about a special grant from the Danish Ministry of Science, Technology and Development with the purpose of supporting the participation of young scientists. We shall soon announce this possibility on the conference home page, with precise conditions for application. Deadline for application: February 1st 2003. Information about registration, accommodation and abstracts of submitted talks will be given in a second circular in the beginning of 2003. We hope to see you in Copenhagen. The local organizing committee: Christian Berg, Jacob S. Christiansen, Henrik L. Pedersen Topic #7 ------------- OP-SF NET 9.4 ---------------- July 15, 2002 ~~~~~~~~~~~~~ From: Center for Constructive Approximation Subject: Vanderbilt Special Year in Approximation Theory ***************************************************** **** SPECIAL YEAR IN APPROXIMATION THEORY ****** **** May 2003 - May 2004 ****** **** Center for Constructive Approximation ****** **** Vanderbilt University, Nashville, TN ****** **** http://www.math.vanderbilt.edu/~cca ****** **** cca@math.vanderbilt.edu ****** ***************************************************** To celebrate the recent founding of the Center for Constructive Approximation at Vanderbilt University, we are organizing a Special Year in Approximation Theory. The year will begin with a conference in May, 2003, and will end with second conference in May, 2004. For more on the conferences, see below. In addition to the conferences, we plan to organize workshops in several areas of Approximation Theory. Details will be forthcoming. Moreover, we hope to have as many short-term and long-term visitors as possible during the special year. Please let us know if you are interested in such a visit. The program for the Special Year is now in the planning stage and will be posted on the Center website in the near future. ***************************************************** **** International Conference on ****** **** ADVANCES IN CONSTRUCTIVE APPROXIMATION ****** **** May 14-17, 2003 ****** **** http://www.math.vanderbilt.edu/~advances ****** **** advances@math.vanderbilt.edu ****** ***************************************************** This conference will mark the official opening of the Special Year in Approximation Theory. INVITED SPEAKERS J. Benedetto (Univ. of Maryland) L. Bos (Univ. of Calgary) K. Kopotun (Univ. of Manitoba, Winnipeg) K. McLaughlin (Univ. N. Carolina, Chapel Hill) G. Plonka (Gerhart-Mercator Univ., Germany) M. Putinar (Univ. of California, Santa Barbara) V. Totik (Univ. South Florida and Univ. of Szeged) J. Ward (Texas A \& M Univ., College Station) ORGANIZING COMMITTEE Mike Neamtu, Edward Saff, Larry Schumaker (Vanderbilt Univ.) SCOPE OF THE SYMPOSIUM Our aim is to bring together researchers from diverse areas of approximation theory, to stimulate international collaboration, and to promote interaction and the exchange of ideas. We welcome the participation of both pure and applied mathematicians working in approximation theory from all around the world. We especially encourage young mathematicians and graduate students to attend. CONFERENCE TOPICS The topics of interest include, but are not limited to: Abstract approximation Approximation with constraints Classical approximation Complex approximation Extremal problems Interpolation and smoothing Curves and surfaces Multiresolution analysis Nonlinear approximation Orthogonal polynomials Radial basis functions Shift-invariant spaces Splines Subdivision and refinable functions Image and signal processing Wavelets CONTRIBUTED TALKS ETC. We invite you to contribute a talk in any area of approximation theory and its applications. The duration of contributed talks will depend on the number of participants and will be announced later. We expect to publish a proceedings containing survey papers by the invited speakers and refereed contributed papers. We are currently applying for funding to be able to partially support the expenses of graduate students and other mathematicians without support. ***************************************************** **** ELEVENTH INTERNATIONAL CONFERENCE ****** **** ON APPROXIMATION THEORY ****** **** May 19-22, 2004 ****** **** http://www.math.vanderbilt.edu/~at04 ****** **** at04@math.vanderbilt.edu ****** ***************************************************** This conference is the eleventh in the well-established series of "Texas meetings in Approximation Theory" (the previous two meetings were in St. Louis, 2001, and Nashville, 1998). We will provide more information about this event at a later date. Topic #8 ------------- OP-SF NET 9.4 ---------------- July 15, 2002 ~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: Special Functions in the Digital Age IMA 2002 Summer Program: Special Functions in the Digital Age July 22 - August 2, 2002 Minneapolis, MN, USA Here is some of the latest information from the web site http://www.ima.umn.edu/digital-age/ Description: The IMA workshop will use the DLMF project as a foundation and discuss what more should be done, what areas are incomplete or unrepresented, what are the resulting mathematical, symbolic, numerical and web issues, applications in physics, chemistry, etc., relationships with the Bateman project, and potential for other digital libraries in other mathematical areas. The workshop is to have a very broad outlook, encompassing a wide range of subjects connected with special functions, as well as issues concerning digital libraries and the delivery of mathematics over the internet. A major portion of this program (7 days) will be assessments of research progress and promising vistas for future research by distinguished experts in the areas of asymptotics, combinatorial functions, statistics, computer algebra, algebraic and group theoretic methods, applications to the physical sciences, orthogonal polynomials, numerical methods, zeta functions & random matrices, Painlevé functions, elliptic functions, elliptic hypergeometric functions and the Heun function group, with the aim of pointing out what is of greatest importance in the theory and applications, and what should be included in digital library projects. The remainder of the program (3 days) will be devoted to Digital Libraries generally and, specifically, Digital Libraries and the Mathematical Sciences, including the delivery of mathematics over the Internet. It will conclude with a panel on the "Future of Mathematical Digital Libraries," with panelists from the special functions research and users communities, as well as representatives from mathematics societies and government funding agencies. There will be several discussion sessions to develop specific recommendations for special function topics to be included in future Digital Libraries in Mathematics. Also there will be poster sessions, and several software demonstrations (particularly of computer algebra and numerical packages for special functions), and much of the software will be available during the program for informal use by participants. This program will link with special function related sessions at the Foundations of Computational Mathematics (FoCM'02) meeting that will be hosted by the IMA, August 5-15, 2002. The program is meant for researchers in the theory and computation of special functions (definitely including people new to the field who are looking for the most promising areas for future research), for users of special functions, and for persons interested in the delivery of mathematics over the Internet. Speakers: George E. Andrews (Department of Mathematics, Pennsylvania State University) What is needed in Computer Algebra Packages for Mathematical Research! Richard Askey (Department of Mathematics, University of Wisconsin-Madison) Introduction: The Role of Handbooks of Special Functions Richard Askey (Department of Mathematics, University of Wisconsin-Madison) Orthogonal Polynomials in One Variable Richard Askey (Department of Mathematics, University of Wisconsin-Madison) askey@math.wisc.edu Assessment of DLMF (Digital Library of Mathematical Functions) Alexander Berkovich (Department of Mathematics, University of Florida) Partitions with gap conditions: some old and new results Michael Berry (Department of Physics, Bristol University) Architecture of diffraction catastrophes Ronald F. Boisvert (Mathematical and Computational Sciences Division, National Institute of Standards and Technology, Gaithersburg, MD, USA) Building the DLMF: Information Technology Issues David M. Bressoud (Mathematics and Computer Science Department, Macalester College) Where does Combinatorial Analysis fit in? Peter A. Clarkson (Institute of Mathematics & Statistics, University of Kent, Canterbury, CT2 7NF, UK) The Painleve equations - nonlinear special functions Edgardo S. Cheb-Terrab (MITACS - CECM - Simon Fraser University, Canada Symbolic Computation Group, UW, Canada, Theoretical Physics Department, UERJ, Brazil) Special functions & Maple Frédéric Chyzak (Algorithms Project, INRIA) Mgfun, a Maple Package for Symbolic Summation and Integration of Special Functions and Combinatorial Sequences Charles F. Dunkl (Department of Mathematics, University of Virginia) Orthogonal Polynomials on the Sphere Walter Gautschi (Department of Computer Sciences, Purdue University) Orthogonal Polynomials (in Matlab) Mourad Ismail (Department of Mathematics, University of South Florida) Continued Fractions and Biorthogonal Functions Alexander R. Its (Indiana University-Purdue University Indianapolis) Integrable Systems and Integrability Tom H. Koornwinder (KdV Institute for Mathematics, Universiteit van Amsterdam) Algebraic methods: Lie groups, quantum groups Christian Krattenthaler (Institut fur Mathematik, Universitat Wien) HYP and HYPQ Daniel Lozier (National Institute of Standards and Technology (NIST)) Development of a New Handbook and Web Site of Properties of Special Functions Bruce R. Miller (National Institute of Standards and Technology (NIST)) Representation, display and manipulation of mathematics on the Web Willard Miller (School of Mathematics, University of Minnesota) The Lie Theory approach to special functions Cleve Moler (Chairman and Chief Scientist The MathWorks, Inc.) Special Functions in MATLAB: What do we have and what are we missing? Ingram Olkin (Stanford University) Interface Between Statistics and Special Functions Frank W.J. Olver (Institute for Physical Science and Technology, University of Maryland and Mathematics & Computational Sciences, National Institute of Standards and Technology (NIST)) Error Bounds; Hyperasymptotics; Uniform Asymptotics Peter Paule (RISC, J. Kepler University Linz, Austria) Symbolic Summation: Algorithms and Missed Opportunities William P. Reinhardt (Department of Chemistry, University of Washington, Seattle) New and old addition theorems and Landen identities for Jacobian elliptic functions: do these indeed give rise to "novel" solutions for non-linear PDEs? Donald Richards (Department of Statistics, University of Virginia) Computers and special functions in multivariate statistical analysis Axel Riese (Research Institute for Symbolic Computation, J. Kepler University Linz) Computer Proofs of Hypergeometric Summation Identities and Partition Analysis Otmar Scherzer (Department of Computer Science, University Innsbruck, Techniker Str. 25, A-6020 Innsbruck, Austria) Case examples of Special Functions in Analysis and Numerics Carsten Schneider (Research Institute for Symbolic Computation, J. Kepler University Linz ) Sigma: A Summation Package for Discovering and Proving V.P. Spiridonov (JINR, Dubna and MPIM, Bonn) Elliptic Hypergeometric Functions Dennis Stanton (School of Mathematics, University of Minnesota) Exponential formulas Nico M. Temme (CWI) Numerics of Special Functions Alexander Turbiner (Instituto de Ciencias Nucleares, National University of Mexico) Algebraic Approaches: Quasi-Exactly-Solvable Problems (Lie-algebraic theory of polynomial solutions of differential and finite-difference linear equations) Hans W. Volkmer (Department of Mathematical Sciences, University of Wisconsin) Mathieu, Lamé and Spheroidal Wave Functions Peter L. Walker (College of Arts & Science, American University of Sharjah) The elliptic functions of Jacobi and Weierstrass Abdou Youssef (Department of Computer Science, The George Washington University, Washington, DC 20052) Search Systems for Mathematical Equations Doron Zeilberger (Department of Mathematics, Rutgers University) The General Future of Special Functions Topic #9 ------------- OP-SF NET 9.4 ---------------- July 15, 2002 ~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: Minneapolis Workshop on Special Functions Workshop on Special Functions, FoCM'02, IMA, Minneapolis, 5-7 August 2002 This is part of the information from the web page: http://staff.science.uva.nl/~thk/FoCM02/ This is one of the 19 workshops during the conference FoCM'02 at the IMA, University of Minnesota, Minneapolis, MN, USA, 5-14 August 2002. The workshop will run for 3 successive afternoons during 5-7 August (Monday - Wednesday). FoCM'02 demotes the conference on "Foundations of Computational Mathematics" to be held in Minneapolis, 5-14 August 2002. See the web page http://www.damtp.cam.ac.uk/user/na/FoCM/FoCM02/ The Workshop on Special Functions will be held immediately after the IMA 2002 Summer Program Special Functions in the Digital Age at the IMA in Minneapolis, 22 July - 2 August 2002. (see Topic #8 above) Workshop organizers Tom H. Koornwinder (University of Amsterdam; email thk@science.uva.nl) Adri B. Olde Daalhuis (University of Edinburgh; email adri@maths.ed.ac.uk). Plenary speaker on workshop theme Dan Lozier (NIST, Gaithersburg, Maryland, USA), Development of a new handbook of properties of special functions. Semiplenary speakers during the workshop Peter A. Clarkson (University of Kent, Canterbury, UK), Connection formulae for the Painlevé equations Mourad E.H. Ismail (University of South Florida, Tampa, Florida, USA), Solutions of Bethe Ansatz equations in some physics models Nico M. Temme (CWI, Amsterdam, Netherlands), Two-point Taylor expansions for convergent asymptotic expansions Other workshop speakers Alexander Berkovich (University of Florida, Gainesville, Florida, USA), Some observations on the Dyson adjoint of a partition (canceled) Andrei B. Bogatyrev (Institute for Numerical Mathematics, Russian Academy of Sciences), Moscow, Russia, Numerical analysis in Teichmüller spaces with application to extremal polynomials Chris Howls (University of Southampton, UK), Calculation of integrals with coalescing saddlepoints Tom H. Koornwinder (University of Amsterdam, Netherlands), Twin Cities summer variations: Some easy pieces in special functions Robert S. Maier (University of Arizona, Tucson, Arizona, USA; temporarily TICAM (Texas Institute for Computational and Applied Mathematics), University of Texas) Heun-to-hypergeometric transformations Willard Miller, Jr. (School of Mathematics, University of Minnesota, Minneapolis, MN, USA), Multiseparability, superintegrability and mixed basis expansions for the special functions of mathematical physics Adri B. Olde Daalhuis (University of Edinburgh), Uniform asymptotic expansions for hypergeometric functions Marko Petkovsek (University of Ljubljana, Slovenia), The structure of multivariate hypergeometric terms Michael J. Schlosser (Universität Wien, Vienna, Austria), Inversion of bilateral basic hypergeometric series Vyacheslav P. Spiridonov (Joint Institute for Nuclear Research, Dubna, Russia and Max Planck Institute of Mathematics, Bonn, Germany), The elliptic Bailey chain Paul Terwilliger (University of Wisconsin-Madison, USA), Leonard pairs and the q-Racah polynomials Topic #10 ------------- OP-SF NET 9.4 ---------------- July 15, 2002 ~~~~~~~~~~~~~ From: Walter Van Assche Subject: Obituary: Wolfgang Thron Wolfgang J. Thron, 1918--2001 Wolfgang Joseph Thron, professor emeritus of mathematics of the University of Colorado in Boulder, Colorado, died at home of emphysema on August 21, 2001, a few days after his 83rd birthday. Thron was very well known for his work on continued fractions and his book "Continued Fractions, Analytic Theory and Applications" (with W. B. Jones), which appeared in 1980, is one of the most valuable books on the subject. Wolf Thron was born on August 17, 1918 in Ribnitz (Germany). In 1936 Thron first was sent to the ETH in Zurich (Switzerland) and then to Princeton University, where his aunt and uncle (Herman Weyl) could keep an eye on him and lend him a helping hand if necessary. After his B.A. degree from Princeton in 1939 he held a teaching fellowship at Washington State University in Pullman, and a year later he accepted a teaching fellowship for graduate study at the mathematics department of Rice University, where he worked under the supervision of Walter Leighton. Thron's thesis was on parabolic convergence regions for continued fractions and his results (published in 1942 and 1943) significantly improved the original parabola theorem of W. T. Scott and H. S. Wall, which appeared in 1940. During the next six decades Wolfgang Thron made several important contributions in the convergence theory for continued fractions. Approximately one third of his publications have been devoted to continued fractions. A recent look on MathSciNet revealed 142 publications by Wolfgang Thron, and Zentralblatt MATH even gives 153 publications. Thron has at least four publications with more than 50 citations: the paper "Accelerating convergence of limit periodic continued fractions K(a_n/1)" (Numer. Math. 34 (1980), 155-170) with H. Waadeland, the well-written survey "Moment theory, orthogonal polynomials, quadrature, and continued fractions associated with the unit circle" (Bull. London Math. Soc. 21 (1989), 113-152) with W. B. Jones and O. Njastad, the paper "A strong Stieltjes moment problem" (Trans. Amer. Math. Soc. 261 (1980), 503--528) with W. B. Jones and H. Waadeland, and the related "Orthogonal Laurent polynomials and the strong Hamburger moment problem" (J. Math. Anal. Appl. 98 (1984), 528--554) with W. B. Jones and O. Njastad, clearly have been very influential. Thron also has his own continued fraction: the T-fraction, which is related to two point Pade approximation and Laurent orthogonal polynomials. Wolfgang Thron started his long career at the University of Colorado in Boulder in 1954 filling the vacancy in mathematics when Albert Edrei moved to Syracuse University. He had 21 Ph.D. students and wrote two books: in 1966 a book on "Topological Structures", and in 1980 the book with Bill Jones on continued fractions, which was mentioned earlier. Thron spent a lot of time at foreign universities: in 1957-58 he was at the University of Munich, close to Oscar Perron, in 1962-63 and in 1974-75 he was at Panjab University in Chandigarh, India, in 1966-67 he was at Mindanao State University in the Phillipines, in 1970-71 he was at Erlangen University in Germany, and in 1978-79, 1982-83 and 1987 he worked at the University of Trondheim in Norway. There he continued a long and productive collaboration with Lisa Jacobsen (now Lorentzen), Olav Njastad and Haakon Waadeland. Thron became Professor Emeritus upon his retirement in 1985. In recognition of his outstanding work in continued fractions and related topics, an international conference was held at the University of Colorado in June, 1988 on the occasion of his 70th birthday. The proceedings were published in the Rocky Mountain Journal of Mathematics, volume 21 (1991); included in these proceedings was a description of Thron's life and work written by his former student an long time collaborator W. B. Jones ("W. J. Thron on his 70th birthday", Rocky Mountain J. Math. 21 (1991), 7-23), which includes a list of his Ph.D. students and 116 papers (up to 1990). Most of the information in the present obituary is taken from this source and from obituaries that were sent to me by Bill Jones. Topic #11 ------------- OP-SF NET 9.4 ---------------- July 15, 2002 ~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: Book on Generalized Associated Legendre Functions Generalized Associated Legendre Functions and Their Applications. By N. Virchenko and I. Fedotova. World Scientific, River Edge, NJ, 2000. $48.00. xx+195 pp., hardcover. ISBN 981-02-4357-7. A review by Mourad Ismail appears in SIAM Review, Vol 44, no 2, June 2002, pp 288-291; see http://epubs.siam.org/sam-bin/dbq/article/97090 Ismail gives a succinct introduction to the functions of the title as essentially special Jacobi functions and goes on to give a mainly positive review of the book. Extract from information from the publisher: http://www.wspc.com/books/mathematics/4463.html "The various types of special functions have become essential tools for scientists and engineers. One of the important classes of special functions is of the hypergeometric type. It includes all classical hypergeometric functions such as the well-known Gaussian hypergeometric functions, the Bessel, Macdonald, Legendre, Whittaker, Kummer, Tricomi and Wright functions, the generalized hypergeometric functions rFq, Meijer's G-function, Fox's H-function, etc." "Application of the new special functions allows one to increase considerably the number of problems whose solutions are found in a closed form, to examine these solutions, and to investigate the relationships between different classes of the special functions." "This book deals with the theory and applications of generalized associated Legendre functions of the first and the second kind, P^{m,n}_k(z) and Q^{m,n}_k(z), which are important representatives of the hypergeometric functions. They occur as generalizations of classical Legendre functions of the first and the second kind respectively. The authors use various methods of contour integration to obtain important properties of the generalized associated Legendre functions as their series representations, asymptotic formulas in a neighborhood of singular points, zero properties, connection with Jacobi functions, Bessel functions, elliptic integrals and incomplete beta functions." "The book also presents the theory of factorization and composition structure of integral operators associated with the generalized associated Legendre function, the fractional integro-differential properties of the functions P^{m,n}_k(z) and Q^{m,n}_k(z), the classes of dual and triple integral equations associated with the function P^{m,n}_{-1/2+it}(\cosh \alpha) etc. Contents: A General Information on Legendre Functions The Generalized Associated Legendre Functions The Series Representations of the Generalized Associated Legendre Functions Relations Between Different Solutions of the Generalized Legendre Equation. Wronskians of Linearly Independent Solutions Relations Between Contiguous Generalized Associated Legendre Functions Differential Operators Generated by the Generalized Associated Legendre Equation Asymptotic Formulas for the Generalized Associated Legendre Functions in a Neighborhood of Singular Points Asymptotic Representations of the Generalized Associated Legendre Functions as the Functions of Parameters Integral Representations of the Generalized Associated Legendre Functions of the First Kind Integral Representations of the Generalized Associated Legendre Functions of the Second Kind Zeros of the Generalized Associated Legendre Functions Connection of the Generalized Associated Legendre Functions with the Jacobi Functions and other topics Topic #12 ------------- OP-SF NET 9.4 ---------------- July 15, 2002 ~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: Book on Series Associated with the Zeta and Related Functions Series Associated with the Zeta and Related Functions. By H. M. Srivastava and Junesang Choi. Kluwer Academic Publishers, Dordrecht, The Netherlands, 2001. $127.00. ix+388 pp., hardcover. ISBN 0-7923-7054-6. A review by Jet Wimp appears in SIAM Review, Vol 44, no 2, June 2002, pp 305=308; see http://epubs.siam.org/sam-bin/dbq/article/97090 Wimp begins: "The title of this book doesn't describe its contents. It is really a meditation on the gamma function and some related functions. Readers may have the feeling of being transported back in time to find themselves negotiating a minor but scenic tributary of 19th century mathematics. This is fine with me. ..." He gives a favourable account of the first two Chapters but has misgivings about the long third one "Series Involving Zeta Functions". But the review has to be read completely to be savoured. The following extracts are form the publishers wed site: http://www.wkap.nl/prod/b/0-7923-7054-6 "Designed as a reference work and also as a graduate-level textbook, this volume presents an up-to-date and comprehensive account of the theories and applications of the various methods and techniques used in dealing with problems involving closed-form evaluations of (and representations of the Riemann Zeta function at positive integer arguments as) numerous families of series associated with the Riemann Zeta function, the Hurwitz Zeta function, and their extensions and generalizations such as Lerch's transcendent (or the Hurwitz-Lerch Zeta function)." "Audience: This book is intended for professional mathematicians and graduate students in mathematical sciences (both pure and applied)." Contents Preface. Acknowledgements. 1. Introduction and Preliminaries. 2. The Zeta and Related Functions. 3.Series Involving Zeta Functions. 4. Evaluations and Series Representations. 5. Determinants of the Laplacians. 6. Miscellaneous Results. Bibliography. Author Index. Subject Index. Topic #13 ------------- OP-SF NET 9.4 ---------------- July 15, 2002 ~~~~~~~~~~~~~ From: Allison Bogardo Subject: Nominations: The Jurgen Moser Lecture Call for Nominations SIAM Activity Group on Dynamical Systems Jurgen Moser Lecture The SIAG/DS Moser Lecture ------------------------- The SIAM Activity Group on Dynamical Systems will present the award at the SIAM Conference on Applications of Dynamical Systems at Snowbird, May 27-31, 2003. The prize is awarded to a person who has made distinguished contributions to nonlinear science. The term "nonlinear science" includes dynamical systems theory and its applications, as well as experiments and computations/simulations. Description of the Award ------------------------ The award will consist of a plaque, a certificate containing the citation, an invitation to give a plenary lecture at the conference, and $1000 cash, plus reasonable travel expenses to attend the conference. Nominations ----------- Nominations should be sent by SEPTEMBER 6 to: SIAG/DS Jurgen Moser Lecture c/o A. G. Bogardo SIAM 3600 University City Science Center Philadephia, PA 19104-2688 Telephone: 215-382-9800 Fax: 215-386-7999 E-mail: bogardo@siam.org Selection Committee ------------------- Members of the selection committee are: C. Eugene Wayne (Chair), Boston University; Krystyna Kupersberg, Auburn University; Peter Lax, Courant Institute of Mathematical Sciences, New York University; Yakov Sinai, Princeton University; and James Yorke, University of Maryland, College Park. Topic #14 ------------- OP-SF NET 9.4 ---------------- July 15, 2002 ~~~~~~~~~~~~~ From: Allison Bogardo Subject: Nominations: J.D. Crawford Prize CALL FOR NOMINATIONS SIAM Activity Group on Dynamical Systems J. D. Crawford Prize The SIAG/DS J. D. Crawford Prize -------------------------------- The SIAM Activity Group on Dynamical Systems will present the award at the SIAM Conference on Applications of Dynamical Systems at Snowbird, May 27-31, 2003. The prize is awarded for recent outstanding work on a topic in dynamical systems and nonlinear science, as evidenced by a publication in English in a peer-reviewed journal within the four calendar years preceding the award date. Description of Award -------------------- The award will consist of a plaque, a certificate containing the citation, and $750 plus reasonable travel expenses to attend the conference. Nominations ----------- Nominations should be sent by e-mail, fax, or regular mail by NOVEMBER 1, 2002 to: SIAG/DS J.D. Crawford Prize c/o A. G. Bogardo SIAM 3600 University City Science Center Philadelphia, PA 19104-2688 Telephone: 215-382-9800 Fax: 215-386-7999 E-mail: bogardo@siam.org Eligibility ----------- The research of the candidate must contain significant contributions to the field of nonlinear science, as evidenced by papers published in English in a peer-reviewed journal bearing a publication date within the award period. Selection Committee ------------------- Members of the selection committee are: M. Gregory Forest (Chair), University of North Carolina; Mark Levi, The Pennsylvania State University; Bjorn Sandstede, Ohio State University; Mary Silber, Northwestern University; and Harry Swinney, University of Texas, Austin. Topic #15 ------------- OP-SF NET 9.4 ---------------- July 15, 2002 ~~~~~~~~~~~~~ From: OPSF NET Editor Subject: Preprints in xxx Archive The following preprints related to the fields of orthogonal polynomials and special functions were recently posted or cross-listed to one of the subcategories of the xxx archives. See especially: http://front.math.ucdavis.edu/math.CA http://front.math.ucdavis.edu/math.CO http://front.math.ucdavis.edu/math.QA http://xxx.lanl.gov/archive/solv-int math.NT/0205003 Title: A strengthening of the Nyman-Beurling criterion for the Riemann hypothesis, 2 Authors: Luis Baez-Duarte Comments: 9 pages Subj-class: Number Theory math.CO/0205031 Title: A limiting form of the q-Dixon_4\phi_3 summation and related partition identities Authors: Krishnaswami Alladi, Alexander Berkovich Comments: 12 pages Subj-class: Combinatorics; Number Theory; Quantum Algebra MSC-class: 05A17, 05A19, 11P83, 11P81, 33D15, 33D20 math.CA/0205045 Title: Parabolic Cylinder Functions: Examples of Error Bounds For Asymptotic Expansions Authors: Raimundas Vidunas (1 and 2), Nico M. Temme (2) ((1) CWI, Amsterdam, (2) Korteweg-de Vries Instituut voor Wiskunde, Amsterdam) Comments: 22 pages, 4 figures Subj-class: Classical Analysis MSC-class: 41A60 (Primary) 33C15, 33C10, 30E15, 33F05, 65D20 (Secondary) math.QA/0205051 Title: Set-theoretical solutions to the Yang-Baxter Relation from factorization of matrix polynomials and $\theta$-functions Authors: Alexander Odesskii Comments: 9 pages, to appear in Moscow Math Journal Subj-class: Quantum Algebra math.CO/0205055 Title: A new four parameter q-series identity and its partition implications Authors: Krishnaswami Alladi, George E. Andrews, Alexander Berkovich Comments: 24 pages, reference added, minor stylistic changes, typos eliminated Subj-class: Combinatorics; Number Theory; Quantum Algebra MSC-class: 05A15, 05A17, 05A19, 11B65, 33D15 math.CA/0205064 Title: Two-point Taylor Expansions of Analytic Functions Authors: Jose L. Lopez (1), Nico M. Temme (2) ((1) Universidad Publica de Navarra, Pamplona, (2) CWI, Amsterdam) Comments: 14 pages, 10 figures Subj-class: Classical Analysis MSC-class: 30B10 (Primary) 30E20, 40A30 (Secondary) math.CA/0205065 Title: Large Parameter Cases of the Gauss Hypergeometric Function Authors: Nico M. Temme (CWI, Amsterdam) Comments: 21 pages, 4 figures Subj-class: Classical Analysis MSC-class: 33C05 (Primary) 33C45, 41A60, 30C15, 41A10 (Secondary) math.CA/0205094 Title: Differential properties of matrix orthogonal polynomials Authors: M. J. Cantero, L. Moral, L. Velazquez Comments: 23 pages Subj-class: Classical Analysis MSC-class: 42C05 math.CA/0205108 Title: Karlsson-Minton type hypergeometric functions on the root system C_n Authors: Hjalmar Rosengren Comments: 13 pages Subj-class: Classical Analysis MSC-class: 33D67 math.QA/0205116 Title: Even powers of divisors and elliptic zeta values Authors: Giovanni Felder (MSRI and ETH Zurich), Alexander Varchenko (UNC Chapel Hill) Comments: 5 pages Subj-class: Quantum Algebra; Number Theory MSC-class: 33E30;11F11 math.CV/0205134 Title: On the polynomial moment problem Authors: F. Pakovich Comments: 8 pages, 2 figure Subj-class: Complex Variables; Dynamical Systems MSC-class: 30E99; 34C99 math.CA/0205175 Title: Asymptotic zero behavior of Laguerre polynomials with negative parameter Authors: A.B.J. Kuijlaars, K.T-R McLaughlin Comments: 28 pages, 10 figures Subj-class: Classical Analysis; Complex Variables MSC-class: 30E15; 33C45 math.QA/0205178 Title: On coefficients of Yablonskii-Vorob'ev polynomial Authors: Masanobu Kaneko, Hiroyuki Ochiai Comments: 11 pages, no figures Subj-class: Quantum Algebra; Combinatorics MSC-class: 34M55 (Primary) 33E17 (Secondary) math.GM/0205183 Title: On the real zeroes of the Hurwitz zeta-function and Bernoulli polynomials Authors: A.P. Veselov, J.P. Ward Comments: 9 pages, 2 figures Subj-class: General Mathematics; Classical Analysis MSC-class: 33E20, 12D10 math.QA/0205313 Title: Special functions, KZ type equations and Representation theory Authors: Alexander Varchenko Comments: Notes of a course given at MIT during the spring of 2002. Notes taken by: J. Scott: Lectures 1-3, M. Grana: Lectures 4-6, I. Mencattini: Lectures 7-12. 99 pages Subj-class: Quantum Algebra; Mathematical Physics math.SP/0205319 Title: Spectral estimates for periodic Jacobi matrices Authors: E.Korotyaev, I.V.Krasovsky Comments: 18 pages, 5 figures Subj-class: Spectral Theory; Mathematical Physics math.FA/0205332 Title: Asymptotic behavior of polynomials orthonormal on a homogeneous set Authors: Franz Peherstorfer, Peter Yuditskii Subj-class: Functional Analysis; Numerical Analysis math.FA/0205333 Title: Orthogonal polynomials in several variables. I Authors: T. Constantinescu Comments: 17 pages Subj-class: Functional Analysis math-ph/0205013 Title: Hyperspherical Functions and Linear Representations of the Lorentz Group Author: V.V. Varlamov Comments: 20 pages, LaTeX2e Subj-class: Mathematical Physics MSC-class: 15A66, 22E70, 33C70 nlin.SI/0205010 Title: Painlev\'e expressions for LOE, LSE and interpolating ensembles Authors: Jinho Baik Comments: LaTex, 41 pages, 2 Figures Subj-class: Exactly Solvable and Integrable Systems; Probability Theory math.NT/0206024 Title: Quasimodular solutions of a differential equation of hypergeometric type Authors: Masanobu Kaneko, Masao Koike Comments: 6 pages, no figures Subj-class: Number Theory MSC-class: 11F11 (Primary) 33C05, 33C45 (Secondary) math.QA/0206029 Title: Analysis of Zeta Functions, Multiple Zeta Values, and Related Integrals Authors: David H. Wohl Comments: 9 pages Subj-class: Quantum Algebra; Number Theory MSC-class: 11M38;14H70;32G34;11G55 math.QA/0206030 Title: Selberg Integrals, Multiple Zeta Values and Feynman Diagrams Authors: David H. Wohl Comments: 10 pages Subj-class: Quantum Algebra; Number Theory MSC-class: 11M38;14H70;32G34;11G55 math.CA/0206032 Title: Inversion of bilateral basic hypergeometric series Authors: Michael Schlosser Comments: AMS-LaTeX, 23 pages Subj-class: Classical Analysis; Combinatorics MSC-class: 33D15; 15A09 math.CA/0206089 Title: Heat kernel expansions on the integers Authors: F. Alberto Grunbaum, Plamen Iliev Comments: 18 pages Subj-class: Classical Analysis math.CV/0206162 Title: Equilibrium distribution of zeros of random polynomials Authors: Bernard Shiffman, Steve Zelditch Comments: 19 pages, 3 figures Subj-class: Complex Variables; Probability Theory math.QA/0206171 Title: A variation of Euler's approach to values of the Riemann zeta function Authors: Masanobu Kaneko, Nobushige Kurokawa, Masato Wakayama Comments: 13 pages Subj-class: Quantum Algebra; Number Theory MSC-class: 11M06 (primary), 11B65 (secondary) math.CV/0206172 Title: Study of a functional equation associated to the Kummer's equation of the trilogarithm. Applications Authors: Pirio luc (Universite Paris VI) Subj-class: Complex Variables; Differential Geometry MSC-class: 39B(primary), 53A60 (secondary) math.NT/0206176 Title: Arithmetic of linear forms involving odd zeta values Authors: Wadim Zudilin (Moscow) Comments: 42 pages, LaTeX; slight modification of the absract Subj-class: Number Theory; Classical Analysis MSC-class: Primary 11J72, 11J82; Secondary 33C60 math.CA/0206177 Title: Multiple-integral representations of very-well-poised hypergeometric series Authors: Wadim Zudilin (Moscow) Comments: 8 pages, AmSTeX; a 2-page summary to appear in Uspekhi Mat. Nauk [Russian Math. Surveys] 57:4 (2002) Subj-class: Classical Analysis; Number Theory MSC-class: Primary 33C20, 33C60; Secondary 11J82 math.NT/0206178 Title: A third-order Apery-like recursion for $\zeta(5)$ Authors: Wadim Zudilin (Moscow) Comments: 5 pages, AmSTeX; to appear in Mat. Zametki [Math. Notes] 72 (2002) Subj-class: Number Theory; Classical Analysis MSC-class: Primary 11Y60; Secondary 11J20, 33C20 math.NT/0206179 Title: Diophantine problems for q-zeta values Authors: Wadim Zudilin (Moscow) Comments: 6 pages, AmSTeX; to appear in Mat. Zametki [Math. Notes] 72 (2002) Subj-class: Number Theory; Classical Analysis MSC-class: Primary 11J72, 11J82; Secondary 33D15 math.CA/0206199 Title: Beta-integrals and finite orthogonal systems of Wilson polynomials Authors: Neretin Yurii (Moscow) Comments: 18 pages Subj-class: Classical Analysis MSC-class: 33C05. 33C20, 33C45, 44A15 math.CA/0206200 Title: Asymptotic expansions for ratios of products of gamma functions Authors: Wolfgang Bühring Comments: 6 pages Subj-class: Classical Analysis MSC-class: 33B15; 33C20 math.NT/0206018 Title: Integral moments of L-functions Authors: J. B. Conrey, D. W. Farmer, J. P. Keating, M. O. Rubinstein, N. C. Snaith Comments: 58 pages, AMSTeX Subj-class: Number Theory; Mathematical Physics MSC-class: 11M26; 15A52 math.DG/0206021 Title: Hyperbolic constant mean curvature one surfaces: Spinor representation and trinoids in hypergeometric functions Authors: Alexander I. Bobenko, Tatyana V. Pavlyukevich, Boris A. Springborn Comments: 29 pages, 9 figures. v2: figures of cmc1-surfaces corrected Subj-class: Differential Geometry MSC-class: 53A10; 53C42 math.NT/0206022 Title: On modular forms arising from a differential equation of hypergeometric type Authors: Masanobu Kaneko, Masao Koike Comments: 19 pages, no figures Subj-class: Number Theory MSC-class: 11F11 (Primary) 33C05, 33C45 (Secondary) math.NT/0206024 Title: Quasimodular solutions of a differential equation of hypergeometric type Authors: Masanobu Kaneko, Masao Koike Comments: 6 pages, no figures Subj-class: Number Theory MSC-class: 11F11 (Primary) 33C05, 33C45 (Secondary) math.QA/0206029 Title: Analysis of Zeta Functions, Multiple Zeta Values, and Related Integrals Authors: David H. Wohl Comments: 9 pages Subj-class: Quantum Algebra; Number Theory MSC-class: 11M38;14H70;32G34;11G55 math.QA/0206030 Title: Selberg Integrals, Multiple Zeta Values and Feynman Diagrams Authors: David H. Wohl Comments: 10 pages Subj-class: Quantum Algebra; Number Theory MSC-class: 11M38;14H70;32G34;11G55 math.CA/0206032 Title: Inversion of bilateral basic hypergeometric series Authors: Michael Schlosser Comments: AMS-LaTeX, 23 pages Subj-class: Classical Analysis; Combinatorics MSC-class: 33D15; 15A09 math.RT/0206275 Title: Segal-Bargmann transform on Hermitian symmetric spaces and Orthogonal Polynomials Authors: Mark Davidson, Gestur Olafsson, Genkai Zhang Subj-class: Representation Theory; Functional Analysis math.CA/0206285 Title: Algebraic Solutions of the Lam\'e Equation, Revisited Authors: Robert S. Maier (University of Arizona) Comments: 20 pages, elsart document class, no figures Subj-class: Classical Analysis; Mathematical Physics MSC-class: 34A20 (Primary) 33E10,14H05 (Secondary) hep-th/0206172 Title: Polynomials Associated with Equilibrium Positions in Calogero-Moser Systems Authors: S. Odake, R. Sasaki Comments: 41 pages. A Mathematica file "poly.m" is attached Subj-class: High Energy Physics - Theory; Mathematical Physics math-ph/0206023 Title: Sum Rules and the Szego Condition for Orthogonal Polynomials on the Real Line Authors: Barry Simon, Andrej Zlatos Subj-class: Mathematical Physics MSC-class: 47B36; 42C05 math-ph/0206044 Title: 6j-symbols for symmetric representations of SO(n) as the double series Authors: S. Alisauskas Comments: 21 page Subj-class: Mathematical Physics; Representation Theory MSC-class: 33C45; 81R05 nlin.SI/0205019 Title: On a q-Difference Painlev\'e III Equation: I. Derivations, Symmetry and Riccati Type Solutions Authors: Kenji Kajiwara (1), Kinji Kimura (2) ((1) Graduate School of Mathematics, Kyushu University, (2) Department of Mathematics, Kobe University) Subj-class: Exactly Solvable and Integrable Systems nlin.SI/0205063 Title: On a q-Difference Painlev\'e III Equation: II. Rational Solutions Authors: Kenji Kajiwara Comments: 18 pages Subj-class: Exactly Solvable and Integrable Systems nlin.SI/0206009 Title: Computing Riemann Theta Functions Authors: Bernard Deconinck, Matthias Heil, Alexander Bobenko, Mark van Hoeij, Markus Schmies Comments: 28 pages, 22 figures. Version with high resolution figures available. Some typos corrected in web addresses Subj-class: Exactly Solvable and Integrable Systems; Classical Analysis Topic #16 ------------- OP-SF NET 9.4 ---------------- July 15, 2002 ~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: About the Activity Group The SIAM Activity Group on Orthogonal Polynomials and Special Functions consists of a broad set of mathematicians, both pure and applied. The Group also includes engineers and scientists, students as well as experts. We have around 140 members scattered about in more than 20 countries. Whatever your specialty might be, we welcome your participation in this classical, and yet modern, topic. Our WWW home page is: http://math.nist.gov/opsf/ This is a convenient point of entry to all the services provided by the Group. Our Webmaster is Bonita Saunders (bonita.saunders@nist.gov). The Activity Group sponsors OP-SF NET, which is transmitted periodically by SIAM. It is provided as a free public service; membership in SIAM is not required. The OP-SF Net Editor is Martin Muldoon (muldoon@yorku.ca). To receive the OP-SF NET, send your name and email address to poly-request@siam.org. Back issues can be obtained at the WWW addresses: http://turing.wins.uva.nl/~thk/opsfnet http://www.math.ohio-state.edu/JAT/DATA/OPSFNET/opsfnet.html http://math.nist.gov/opsfnet/archive The NET provides fast turnaround compared to the printed Newsletter, also sponsored by the Activity Group, and edited by Renato Alvarez-Nodarse and Rafael Yanez. It appears three times a year and is mailed by SIAM. 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The archive of all messages is accessible at: http://math.nist.gov/opsftalk/archive Topic #17 ------------- OP-SF NET 9.4 ---------------- July 15, 2002 ~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: Submitting contributions to OP-SF NET and Newsletter To contribute a news item to OP-SF NET, send email to poly@siam.org with a copy to the OP-SF Editor . Please note that submissions to the Net are automatically considered for the Newsletter, and vice versa, unless the contributor requests otherwise. Contributions to OP-SF NET 9.5 should be sent by September 1, 2002. Please send your (printed) Newsletter contributions directly to the Editors: Renato Alvarez-Nodarse Departamento de Analisis Matematico Universidad de Sevilla Apdo. Postal 1160, Sevilla E-41080 Spain fax: +34-95-455-7972 e-mail: ran@us.es Rafael J. Yanez Departamento de Matematica Aplicada Universidad de Granada E-18071 Granada, Spain phone: +34-58-242941 fax: +34-58-242862 e-mail: ryanez@ugr.es preferably by email, and in latex format. Other formats are also acceptable and can be submitted by email, regular mail or fax. The deadline for submissions to be included in the October 2002 issue is September 15, 2002, and for the February 2003 issue is January 15, 2003. o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o OP-SF NET is a forum of the SIAM Activity Group on Special Functions and Orthogonal Polynomials. We disseminate your contributions on anything of interest to the special functions and orthogonal polynomials community. This includes announcements of conferences, forthcoming books, new software, electronic archives, research questions, job openings. o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o Send submissions to: poly@siam.org Subscribe by mailing to: poly-request@siam.org or to: listproc@nist.gov Get back issues from URL: http://turing.wins.uva.nl/~thk/opsfnet/ WWW home page of this Activity Group: http://math.nist.gov/opsf/ Information on joining SIAM and this activity group: service@siam.org o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o The elected Officers of the Activity Group (2002-2004) are: Daniel W. Lozier, Chair Walter Van Assche, Vice Chair Peter Clarkson, Secretary Francisco Marcellan, Program Director The appointed officers are: Renato Alvarez-Nodarse and Rafael J. Yanez, Newsletter Editors Martin Muldoon, OP-SF NET editor Bonita Saunders, Webmaster o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o