o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o - - - July 15, 1999 - - - - O P - S F N E T Volume 6, 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: majordomo@wins.uva.nl - - - o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o Today's Topics 1. From the Editor 2. Message from the Chair 3. Gainesville Conference on Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics 4. Sturmfels to lecture at DMV-Jahrestagung 1999 5. Berkeley Workshop on Computational Algebraic Analysis 6. San Diego Symposium on Asymptotics and Applied Analysis 7. Alhambra 2000: a Joint Mathematical European-Arabic Conference 8. Vigo Colloquium on Lie Theory 9. Report on INTAS Workshop in Leuven 10. Reports on Ballenstedt Workshop 11. Reports from Hong Kong Workshop 12. Review of "Hypergeometric Summation" by Wolfram Koepf 13. Announcement of a book on self-similar systems 14. Postdoctoral position in special functions and computer algebra 15. Richard C. DiPrima Prize 16. George B. Dantzig Prize 17. OP-SF preprints in xxx archive 18. Changes of Address, WWW Pages, etc 19. Subscribing to OP-SF NET 20. Obtaining back issues of OP-SF NET and submitting contributions to OP-SF NET and Newsletter Calendar of Events: 1999 August 9-13: MAA Seminar "Calculus and Counting", Duluth, MN, USA 6.2 #8 August 9-14: Gyorgy Alexits Memorial Conference, Budapest Hungary 6.1 #8 August 13-20, 1999: Third International Workshop "Transform Methods & Special Functions, Blagoevgrad, Bulgaria 6.2 #5 August 18-20: Workshop on Symbolic and Numerical Scientific Computation, Linz, Austria 6.3 #4 September 14-18: International Conference on Analytic Methods of Analysis and Differential Equations, Minsk, Belarus 5.6 #6 September 20-24: International Symposium on Orthogonal Polynomials, Special Functions and Their Applications, Patras, Greece 5.4 #3 6.1 #8 October 31 - November 7: Benin Workshop on Contemporary Problems in Mathematical Physics 6.3 #6 November 8-12: Hong Kong Workshop on Minimal Energy Problems 6.3 #5 November 11-13: Conference on Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics, Gainesville, Florida, USA 6.4 #3 2000 January 5-7: Workshop on Computational Algebraic Analysis Berkeley, California, USA 6.4 #5 January 10-14: Symposium on Asymptotics and Applied Analysis San Diego, California, USA 6.4 #6 July 3-7: Alhambra 2000, a Joint Mathematical European-Arabic Conference 6.4 #7 July 10-14: SIAM Annual Meeting in Puerto Rico July 17-22: I Colloquium on Lie Theory and Applications Vigo, Spain 6.4 #8 Topic #1 ------------- OP-SF NET 6.4 ------------- July 15, 1999 ~~~~~~~~~~~~~ From: Martin Muldoon Subject: From the Editor Once again, we are in the midst of a very busy summer of activities in the areas of orthogonal polynomials and special functions. Several news items in this issue report on recent activities and announce forthcoming ones. A major highlight of the past month was the Hong Kong meeting modestly styled a "Workshop" but in fact a major international gathering in special functions with an emphasis on asymptotics, harmonic analysis and mathematical physics. In Topic #11, Bill Connett and Paco Marcellan give their impressions of the Workshop, followed by a report on the asymptotic aspects by Nico Temme and a summary report by Charles Dunkl, one of the Workshop organizers. An interesting and valuable feature was the Panel Discussion in which the plenary speakers and others gave their views on important future directions in the Workshop topics. A report on this Panel Discussion will be featured in the September 15 issue of OP-SF NET. Topic #2 ------------- OP-SF NET 6.4 ------------- July 15, 1999 ~~~~~~~~~~~~~ From: Daniel W. Lozier Subject: Message from the Chair [This is copied from the June (printed) Newsletter - Ed.] Let me open by congratulating Dick Askey for his election to the National Academy of Sciences. Watch for an account of his accomplishments that led to this honor in an upcoming issue of SIAM News. The SIAM Annual Meeting in Atlanta was quite successful from my point of view. First, the Minisymposium on Orthogonal Polynomials: Theory and Applications, organized by Jeff Geronimo, featured seven stimulating talks; see the report by Charles Dunkl in this issue of the Newsletter. Second, the informal poolside reception, sponsored by the Activity Group and paid for by SIAM, was pleasant though lightly attended. Thanks to Coley Lyons of the SIAM staff for arranging this! I would like to try it again at the next Annual Meeting because I think it is a good way to promote the Activity Group among SIAM attendees who could benefit from more exposure to orthogonal polynomials and special functions. Third, we had a very useful officer's meeting, attended by Walter Van Assche, Charles Dunkl, Peter McCoy and myself, in which we considered the Activity Group program from now until the next SIAM Annual meeting. Unfortunately Paco Marcellan, our Program director, was not present but I will see him at the upcoming International Workshop on Special Functions in Hong Kong. The major activity is likely to be a minisymposium at the SIAM Meeting. Peter McCoy volunteered to work on this and to be the co-chair. If you have ideas for a topic, or would like to assist in some way, please contact one of the Activity Group officers. I had a discussion with Gil Strang, President of SIAM. He is very supportive of our Activity Group. He has mentioned the impact of special functions in some of his recent columns in SIAM News, and I am grateful for his support. Also, I felt that his Town Meeting, in which he presented views and invited discussion on future directions for SIAM, was valuable. One emphasis was on international activities, an area in which our Activity Group is already a leader. Please note that the subscription lists for OPSF-Net and OPSF-Talk have been transferred from Tom Koornwinder's institution to mine. See Tom's discussion of OPSF-Talk in this issue of the Newsletter. For full information on the new setup, see math.nist.gov/opsfnet and math.nist.gov/opsftalk. Archives are available from these sites, or directly at math.nist.gov/opsfnet/archive and math.nist.gov/opsftalk/archive. If you have comments or suggestions for improvements, please send them to me. For OPSF-Net, as before, mirror archives are available in Europe and at the Journal of Approximation Theory. Topic #3 ------------- OP-SF NET 6.4 ------------- July 15, 1999 ~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: Gainesville Conference on Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics This is taken from the URL: http://www.math.ufl.edu/~frank/qsconf.html with additional material from a poster circulated by the organizers CONFERENCE ON SYMBOLIC COMPUTATION, NUMBER THEORY, SPECIAL FUNCTIONS, PHYSICS AND COMBINATORICS November 11 - 13, 1999. University of Florida, Gainesville THEME The main emphasis of the conference will be Computer Algebra and how it relates to the fields of Number Theory, Special Functions, Physics and Combinatorics. A subject that is common to all of these fields is q-series. We hope to bring together those who do symbolic computation with q-series and those that need q-series including workers in Physics and Combinatorics. The conference should inform mathematicians and physicists that use q-series of the latest developments in the field of q-series and especially how symbolic computation has aided these developments. It should also inform participants of new computer algebra software and algorithms used in the study of q-series. MAIN SPEAKERS George Andrews, Pennsylvania State University Jon Borwein, Simon Fraser University Barry McCoy, Stony Brook Dennis Stanton, University of Minnesota Sergei Suslov, Arizona State University Doron Zeilberger, Temple University The following have confirmed that they will give half-hour talks: A. Berkowich, B. C. Berndt, S. Bradley, S. Milne, Murata, K. Muttalib, K. Ono, Quine. FUNDING University of Florida, NSA and The Number Theory Foundation PROCEEDINGS The conference proceedings will be published by Kluwer and will be combined with one of the number theory workshops to be held at the University of Illinois as part of their program "Special Year in Number Theory". ORGANIZERS Frank Garvan, University of Florida (frank@math.ufl.edu) Mourad Ismail, University of South Florida Topic #4 ------------- OP-SF NET 6.4 ------------- July 15, 1999 ~~~~~~~~~~~~~ From: Wolfram Koepf Subject: Sturmfels to lecture at DMV-Jahrestagung 1999 [From the June (printed) Newsletter] The DMV-Jahrestagung (annual meeting of the German Mathematical Society) will take place in Mainz from 5 to 11 September 1999. I would like to announce that Bernd Sturmfels is invited to present a plenary talk "Grobner bases and hypergeometric functions". Further information on the meeting can be obtained from http://www.mathematik.uni-mainz.de/DMV99 Topic #5 ------------- OP-SF NET 6.4 ------------- July 15, 1999 ~~~~~~~~~~~~~ From: Bernd Sturmfels Subject: Berkeley Workshop on Computational Algebraic Analysis Workshop on COMPUTATIONAL ALGEBRAIC ANALYSIS Mathematical Sciences Research Institute, Berkeley January 5-7, 2000 Organizers: Bernd Sturmfels, Nobuki Takayama and Uli Walther Linear partial differential equations can be regarded as left ideals in the Weyl algebra D. This enables one to study differential equations as D-modules and was the starting point for the fundamental work of Bernstein, Deligne, Kashiwara, Malgrange, Sato, and others in the 1970's. The term "Algebraic Analysis" was chosen by Sato to emphasize affinity with "Algebraic Geometry". D-modules now sit at the crossroads of many areas: algebraic geometry, representation theory, PDE's, combinatorics, and hypergeometric functions. A new trend in D-module theory is the appearance of algorithms and explicit computations. This lead to an interplay of algebraic analysis and computational and combinatorial algebraic geometry. For example, the computation of de Rham cohomology groups, restriction functors and local cohomology modules has been reduced to computing Grobner bases over D. This workshop will focus on current developments in this area. Topics include: * Non-commutative Grobner bases * Combinatorics and D-modules, * Cohomological computations, * D-modules and tight closure, * Hypergeometric functions, * Multidimensional residues, * Regular and irregular singularities This is an informal workshop, and there is no financial support through MSRI. Senior participants are expected to pay their own expenses. Participating graduate students and postdocs will be accommodated with locals. If you are interested in attending, please write to Uli Walther (walther@math.umn.edu). Topic #6 ------------- OP-SF NET 6.4 ------------- July 15, 1999 ~~~~~~~~~~~~~ From: Editor, OP-SF NET Subject: San Diego Symposium on Asymptotics and Applied Analysis This announcement is from the Symposium web site: http://www.sci.sdsu.edu/math_cs/asymptotics2000 SAN DIEGO SYMPOSIUM ON ASYMPTOTICS AND APPLIED ANALYSIS January 10 - 14, 2000 Organizers: T. M. Dunster and D. A. Lutz Department of Mathematical and Computer Sciences San Diego State University San Diego, CA 92182-7720 U.S.A email: dunster@math.sdsu.edu and lutz@math.sdsu.edu This symposium will compose of talks in the following three categories of asymptotics and applied analysis: difference equations, ordinary differential equations, and functions defined by integrals. The first of these would emphasize representations for solutions in large sectors and asymptotic methods involving special functions. Included in the second and third categories would be new results related to exponentially-improved asymptotics and hyperasymptotics, summation of divergent solutions, connection problems, error analysis, and applications to special functions. In all of the above three areas physical applications would be covered under the scope of the symposium: for example new results in wave physics (where asymptotics describes the high-frequency limit and separation of variables leads to ordinary differential equations with a large parameter), and tunneling in quantum mechanics (where asymptotics of certain special functions could be used in the determination of exponentially small widths of energy bands in one-dimensional potentials).. The following eleven leading experts in the above fields have indicated a willingness to participate as principal speakers in the proposed symposium: F. W. J. Olver (Maryland), R. Askey (Wisconsin), W. Balser (Ulm, Germany), C. Bender (St. Louis), M. Berry (Bristol, UK), B. Braaksma (Netherlands), F. Pham (Nice, France), R. Schaefke (Strasbourg, France), Y. Sibuya (Minneapolis), N. Temme (Netherlands), and R. Wong (Hong Kong). Each will give a 50 minute talk focusing on significant, new developments. In addition, there will be a series of shorter 30 minutes talks from other participants. Post-doctoral and graduate students, and especially those from under-represented groups in mathematics, are encouraged to attend. Topic #7 ------------- OP-SF NET 6.4 ------------- July 15, 1999 ~~~~~~~~~~~~~ From: Paco Marcellan Subject: Alhambra 2000: a Joint Mathematical European-Arabic Conference ========================================================= ALHAMBRA 2000 A JOINT MATHEMATICAL EUROPEAN-ARABIC CONFERENCE Granada, July 3rd to 7th, 2000 ========================================================= http://www.ugr.es/local/alhambra2000, e-mail: alhambra2000@ugr.es secretariat e-mail: eurocongres@mx3.redestb.es ========================================================= .--------------------------. | PRELIMINARY ANNOUNCEMENT | .--------------------------. The ALHAMBRA 2000 JOINT MATHEMATICAL EUROPEAN-ARABIC CONFERENCE arises within European Mathematical Society (EMS) as an opportunity of a meeting between mathematicians from every European-Arabic culture. Granada, with the Alhambra as an ensign, accepts this challenge of promoting a meeting between scientists of the three Mediterranean cultures, which is to be good at the same time to commemorate the year 2000 as the World Year of Mathematics. The Spanish Royal Mathematical Society, integrated in the EMS Since 1998, offers support and heads the organization of this encounter in Granada. ALHAMBRA 2000 is already going to become a reality. ALHAMBRA 2000 is an acknowledged satellite activity of the 3rd European Congress of Mathematics, Barcelona, July 10th to 14th. .-----------. | STRUCTURE | .-----------. The ALHAMBRA 2000 Conference includes: - The ALHAMBRA 2000 European-Arabic Congress of Mathematics that will deal with historical perspectives on contributions of both cultures to the present mathematical knowledge, and also will discuss about the state of the more relevant mathematical concepts over the centuries and the way they have evolved. Plenary lectures of the above subjects will be held in morning sessions, and short communications will be held. - Eight ALHAMBRA 2000 Symposia on current mathematical subjects to be held in afternoon parallel sessions. The Symposia serve as platforms for the presentation and discussion of the state of the art of topics in the list of scientific topics below, and they include lectures as well as short communications, either spoken or in the form of posters. TENTATIVE LIST OF SCIENTIFIC TOPICS ----------------------------------- . Computational mathematics . Geometry of submanifolds . Mathematical demography . Non-linear problems . Orthogonal polynomials . Public mathematics . Representation theory of algebras . Symmetry ----------------------------------- .------------------. | PRE-REGISTRATION | .------------------. If you wish to receive the Second Announcement and information about the ALHAMBRA 2000 by e-mail, please pre-register. Pre-registration is free and implies no obligation whatsoever. In order to become a participant in the ALHAMBRA 2000, full registration and payment of the registration fee are necessary. Pre-registration can be made online, by accessing the Conference web site http://www.ugr.es/local/alhambra2000, or via e-mail, by filling the pre-registration form below and sending it to the Secretariat Conference e-mail address: eurocongres@mx3.redestb.es Pre-registration deadline: July 31, 1999. .------------------------. | ADDITIONAL INFORMATION | .------------------------. For further information please contact with the conference secretariat: ALHAMBRA 2000 Conference eurocongres Avda. Constitución, 18 - Blq.4 E-18012 - GRANADA, SPAIN Voice: +34 958 209 361 Fax: +34 958 209 400 E-mail: eurocongres@mx3.redestb.es Local organisation committee: E-mail: alhambra2000@ugr.es Web: http://www.ugr.es/local/alhambra2000 ================================================================ .-----------------------. | ALHAMBRA 2000 | | PRE-REGISTRATION FORM | | (Please send before | | July 31, 1999) | .-----------------------. PERSONAL DATA ------------- First name:____________________ Last name:____________________ Phone:______________________ Fax:_____________________________ E-mail:_______________________ URL:___________________________ AFFILIATION ----------- Institution or Company:_______________________________________ Faculty or Department:________________________________________ Street or P.O.Box:____________________________________________ City:_______________ Country:______________ Zip code:_________ HOME ADDRESS (if appropriate) ----------------------------- Street or P.O.Box:____________________________________________ City:_______________ Country:______________ Zip code:_________ AREAS OF INTEREST ----------------- (choose one or several items from the list below) [X] ALHAMBRA 2000 EUROPEAN-ARABIC CONGRESS OF MATHEMATICS (with History of European and Arabic Mathematics and Mathematicians) [ ] ALHAMBRA 2000 Symposium on Computational Mathematics [ ] ALHAMBRA 2000 Symposium on Geometry of Submanifolds [ ] ALHAMBRA 2000 Symposium on Mathematical Demography [ ] ALHAMBRA 2000 Symposium on Orthogonal Polynomials [ ] ALHAMBRA 2000 Symposium on Non-linear Problems [ ] ALHAMBRA 2000 Symposium on Public Mathematics [ ] ALHAMBRA 2000 Symposium on Representation Theory of Algebras [ ] ALHAMBRA 2000 Symposium on Symmetry OTHER REQUESTS -------------- - Would you like to do any contribution? Oral [ ], Poster [ ], None [ ] - Number of accompanying persons: [ ] SPECIAL REQUESTS ---------------- ________________________________________________________________ ________________________________________________________________ ________________________________________________________________ ________________________________________________________________ ________________________________________________________________ ================================================================ Topic #8 ------------- OP-SF NET 6.4 ------------- July 15, 1999 ~~~~~~~~~~~~~ From: Ignacio Bajo Palacio Subject: Vigo Colloquium on Lie Theory I am pleased to inform you that at the University of Vigo we are organizing the "I Colloquium on Lie Theory and Applications", which will be held in Vigo (Spain) from July 17 to July 22, 2000. Some information on the colloquium and a pre-registration form are available in the following web page: http://www.dma.uvigo.es/~clieta/index [The following is extracted from the web page - Ed] I COLLOQUIUM ON LIE THEORY AND APPLICATIONS Vigo (Spain), July 17-22, 2000 A Satellite Activity of the Third European Congress of Mathematics (3ecm) FIRST ANNOUNCEMENT The University of Vigo is pleased to announce the I Colloquium on Lie theory and Applications which will be held at Vigo (Spain) from July 17 to July 22, 2000. The Colloquium will be the first of a series of conferences devoted to all aspects of Lie Theory and to be held in different locations biennially. SCIENTIFIC PROGRAMME AND PRE-REGISTRATION The Colloquium will include three courses, of three hours each, delivered by Professors D.V. Alekseevsy, A.T. Fomenko and M. Scheunert, eleven invited lectures and several short communications (fifteen minutes each). All participants should fill, as soon as possible, a pre-registration form. Those intending to present a short communication must submit by ordinary mail a printed abridged version to the Organizing Committee NOT LATER THAN NOVEMBER, 30, 1999. Instructions on the dimensions and style of the abridged version are detailed in the call for communications. The languages of the colloquium will be English, Spanish and French; the organizing committee, however, encouragely recommends the use of English specially in abstracts and in the written version of the communications. FURTHER INFORMATION List of Invited Speakers and Titles: COURSES D. V. Alekseevsky: Semisimple Lie algebras, Dynkin diagrammes and geometry of flag manifolds. A.T. Fomenko: Lie groups and integrable Hamiltonian systems. M. Scheunert: (Title not provided) LECTURES S. Benayadi M. Bordemann V. Cortes A. Gonzalez-Lopez Yu. B. Hakimjanov E. Koelink M. de Leon E. Macias-Virgos A. Medina C. Moreno K-H. Neeb Scientific Committee: D.V. Alekseevsky (Max-Planck Institut fur Mathematik, Germany) S. Benayadi (Universite de Metz, France) M. Bordemann (Universitat Freiburg, Germany) V. Cortes (Universitat Bonn, Germany) A.T. Fomenko (Moscow State University, Russia) A. Gonzalez-Lopez (Universidad Complutense de Madrid, Spain) Yu.B. Hakimjanov (Universite d'Haute Alsace, France) K.H. Hofmann (Tulane University, USA) E. Koelink (Technische Universiteit Delft, The Netherlands) M. de Leon (CSIC, Spain) E. Macias-Virgos (Universidad de Santiago, Spain) A. Medina (Universite de Montpellier II, France) C. Moreno (Universite de Bourgogne, France / Universidad Complutense de Madrid, Spain) K-H. Neeb (Technische Universitat Darmstadt, Germany) M. Scheunert (Universitat Bonn, Germany) Registration Fees: Registration in the colloquium will be possible from February 1 to April 30, 2000. The registration fees are the following: General Fee 22,000 pesetas (132 Euros) Reduced Fees Participants registered in the 3ecm 18,000 pesetas (108 Euros) Individual members of SEMA 18,000 pesetas (108 Euros) Young Researchers(*) 16,000 pesetas (96 Euros) (*) The "Young researchers" fee is applicable to researchers under 30 who declare to be unemployed or whose net income does not exceed 125,000 pesetas (750 Euros) per month. Organizing Committee: N. Alonso, I. Bajo, R. Gonzalez, A. Martin and E. Sanmartín (Universidad de Vigo, Spain) Coordination: Ignacio Bajo (Dept. Matematica Aplicada, Universidad de Vigo, Spain) Esperanza Sanmartín (Dept. Matematicas, Universidad de Vigo, Spain) Address: I Colloquium on Lie Theory and Applications E.T.S.I. Telecomunicacion Universidad de Vigo 36280 Vigo (Spain) Telephone: +86 81 21 52 // +86 81 24 45 Fax: +86 81 21 16 // +86 81 24 01 E-mail: clieta@dma.uvigo.es Sponsors and Collaborating Entities: Universidad de Vigo Xunta de Galicia Ministerio de Educacion y Cultura Real Sociedad Matematica Espanola (RSME) Sociedad Espanola de Matematica Aplicada (SEMA) European Mathematical Society (EMS) Social Programme: The Social Programme of the colloquium will include a closing dinner and a visit to the city of Santiago de Compostela. The city of Santiago de Compostela has been proclaimed one of the Cultural Capitals of Europe 2000. How to arrive at Vigo: The city of Vigo, with 300,000 inhabitants, is located in Galicia, a region in the northwest of Spain. The airport of Vigo connects the city with Madrid, Barcelona, Bilbao, Valladolid, Frankfurt and Paris daily. The airport of Santiago de Compostela is the largest airport in Galicia; it is only 90 kilometres from Vigo and has flights to many other international destinations. The city of Porto (Portugal) is approximately 150 kilometres from Vigo and a large number of destinations are possible through its airport. There are regular bus and train services to almost all important towns in Spain and Portugal. Topic #9 ------------- OP-SF NET 6.4 ------------- July 15, 1999 ~~~~~~~~~~~~~ From: Walter Van Assche Subject: Report on INTAS Workshop in Leuven [This report appeared in the June (printed) Newsletter] INTAS workshop "Constructive complex analysis", Leuven, Belgium, February 3-5, 1999. This was already the fourth workshop in the framework of an INTAS project, with participating research groups from Spain (Universidad de Granada and Universidad Carlos III de Madrid), Belgium (Katholieke Universiteit Leuven) and the 'new independent states' (Steklov Mathematical Institute, Keldysh Institute of Applied Mathematics, Moscow State University in Moscow, and State Technical University in Nizhnii Novgorod). The project ended in April so that part of this workshop was used to present the results obtained by the various research groups, but there was also some room for new research problems and future plans. There were about 30 participants, mainly from Spain, Belgium and Russia. Each day consisted of expository talks and workshops, allowing participants to do some collaborative work in small groups). On the first day, Francisco (Paco) Marcellan (the activity group's program director) talked about semiclassical orthogonal polynomials and electrostatic properties of their zeroes, Antonio Duran lectured about his results on indeterminate matrix moment problems, Guillermo Lopez presented several results regarding the asymptotics of Stieltjes polynomials, and Andrei Martinez showed the latest results on entropy of Gegenbauer polynomials, which was one of the main research problems which we wanted to investigate in the INTAS project. The second day was entirely devoted to talks from the Russian participants of the project. Alexander (Sasha) Aptekarev and Vladimir Buyarov first explained how one can get asymptotics for polynomials with varying weights. Vladimir Sorokin then gave a very nice talk on Angelesco-Nikishin systems in number theory, which deals with simultaneous rational approximation in a very general setting, with its applications in irrationality and transcendence proofs for various real constants. Finally Sergei Suetin talked about sets of minimal capacity and asymptotics of the generalized Akhiezer polynomials. The final day started with a talk by Arno Kuijlaars on the generic behaviour of equilibrium measures, explaining how one can get information of the support of the equilibrium measure for various external fields, a problem of interest not only for orthogonal polynomialists but also for random matrix theory and Toda lattices. Jorge Arvesu talked about work in progress on discrete multiple orthogonal polynomials, Renato Alvarez-Nodarse (one of our newsletter editors) and his wife Niurka Rodriguez Quintero (no, she's not the Rodrigues formula person) presented some of their work on linearization and connection problems for discrete and q-polynomials, with emphasis on computer algebra and algorithmic aspects, while Jorge Sanchez-Ruiz tried to find explicit analytic expressions for continuous hypergeometric linearization. I enjoyed very much driving the participants around from their hotel to the university and to the airport, with the minibus that I rented for the occasion, which was not particularly easy since there was a lot of construction going on just in front of the hotel. Topic #10 ------------- OP-SF NET 6.4 ------------- July 15, 1999 ~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: Reports on Ballenstedt Workshop [These reports have appeared in the June (printed) Newsletter] Second Workshop on Orthogonal Polynomials: Approximation and Harmonic Analysis. Ballenstedt, Germany, April 23--26, 1999 I. Report by Wolfram Koepf This workshop was the successor of a workshop which took place in Travemunde, Germany, in April 1998, see http://www.gsf.de/institute/ibb/prestin/orthopol.html The very old castle in Ballenstedt was the pleasant location for a wonderful workshop on orthogonal polynomials. Forty-four participants from eight countries, but mostly from Germany, attended the workshop. The Conference languages were German and English. I had not been aware of how many German researchers are working in this field, and I was very favourably impressed! The invited speakers were Hrushikesh N. Mhaskar, Walter Gautschi, Ajit I. Singh, Paul L. Butzer, Charles F. Dunkl and Ryszard Szwarc. Although the schedule was rather dense---there were 31 talks presented in three-and-a-half days---the auditorium was always full. Fortunately, there was still time for a joint social event: On Sunday afternoon, most of the participants took a walk to one of the neighboring towns, and for the return trip a steam engine with a regular schedule was used. This was a remarkable trip! To give a hint about the interesting topics of the workshop I would like to give a (rather personal) selection: Paul L. Butzer spoke about Bernoulli functions, and presented connections with the Riemann zeta function; Hypergeometric representations of positive definite $1$-radial functions were given by Wolfgang zu Castell; Charles F. Dunkl gave an introductory talk about orthogonal polynomials of several variables that are connected with symmetry groups; Roland Girgensohn presented Schauder bases for C[-1,1] consisting of orthogonal polynomials; The indeterminate Hamburger moment problem was discussed by Caroline Lasser; Andreas Ruffing treated the $q$-Hermite polynomials II in connection with the $q$-Heisenberg algebra, and showed that their orthogonality measure is not uniquely determined; Gerhard Schmeisser spoke about the location of the zeros of polynomials depending on the coefficients of an orthogonal expansion; Nonnegative linearization coefficients for arbitrary, and in particular for discrete orthogonal polynomial systems were discussed by Ryszard Szwarc. The main emphases of the talks were orthogonal polynomials of one variable. The program, list of participants, and time table of the workshop as well as pictures of participants of the workshop as well as of the steam engine can be found at the URL http://www.gsf.de/institute/ibb/prestin/work2.html I would like to thank the organizers, especially J\"urgen Prestin, for the excellent organization, and Frank Filbir for the selection of the well-suited location. I will remember this event as a special one! II. Report by Jurgen Prestin and Rupert Lasser The second workshop on Orthogonal Polynomials in Ballenstedt was an event with a very pleasant and cooperative atmosphere. Specific topics and new ideas for concrete work in the theory of this subject were discussed, as well as other areas where orthogonal polynomials can play an important role. Here is a (personal) selection of some possible future research subjects: - Develop Poisson summation formulas in the context of orthogonal polynomials and their continuous analogs, and derive related sampling theorems. The work of P.L. Butzer and M.H. Annaby can provide useful guidelines. - Find new specific examples for translation operators connected with orthogonal polynomials, as in the work of R. Szwarc. Another class of interesting examples comes from the 1-radial functions presented by W. zu Castell. - Investigate in detail orthogonal polynomial systems with respect to special orthogonality measures. Examples of such systems connected with multiresolution analysis were presented by W. Gautschi; other examples concerning the q-Hermite polynomials were given by A. Ruffing. - Continue investigations on multivariable orthogonal polynomials. The polynomials connected with the differential-difference operators of Ch. F. Dunkl are particularly interesting from various points of view. - Transfer more of the powerful results of functional analysis and operator theory to the field of orthogonal polynomials, as in the work of H.N. Mhaskar and B. Beckermann. Similarly, Th. Kriecherbauer reported on the application of results from the theory of dynamical systems (in particular, on the Riemann-Hilbert problem) to orthogonal polynomials. Finally we thank all participants for their contributions and we hope to continue this fruitful endeavour by similar activities in the future. Topic #11 ------------- OP-SF NET 6.4 ------------- July 15, 1999 ~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: Reports from Hong Kong Workshop From: William Connett The International Workshop on Special Functions -- Asymptotics, Harmonic Analysis and Mathematical Physics was held June 21-25, 1999 at the City University of Hong Kong. The organizing committee was Charles Dunkl, Mourad Ismail, and Roderick Wong. The scientific program was outstanding, with a very full schedule of plenary lectures and workshops being presented from 9:00 am until 6:00 pm every day. I do not normally attend conferences devoted to asymptotics, so one of the most exciting parts of the program for me were the many fine presentations by the specialists in this area. The talks of Frank Olver, Roderick Wong, Nico Temme, Mark Dunster, and Walter Gautschi were very helpful to me, and suggested a number of new approaches to problems of long standing concern. In another direction, the community of users of Hypergroups were quite active, and hypergroups appeared in at least five talks. In his paper in the proceedings of the Madison conference of 1975, Tom Koornwinder said "It does not yet seem to be the time to make a final decision, which systems should be called two-variable analogues of the classical orthogonal polynomials." It is now 25 years later, and after many fits and starts the time seems to be at hand. I was astonished to see that the effort to answer this question was seriously addressed by a number of speakers, including Lance Littlejohn, Yuan Xu, Hjalmar Rosengren, Kil Kwon, Charles Dunkl, and your reporter. It was exciting to see the variety of approaches and results that were obtained. The final answer is not there, but this is a problem whose time has come. I also feel obliged to comment on the very energetic presentation of Adam McBride. The pride of Scotland managed to inspire an exhausted audience on the last day of the conference with a celebration of fractional integration. A delight. The physical surroundings were magnificent. The city is quite beautiful, and the streets were electric with the excitement of the new political order. Despite the recent financial collapse of the Asian Tigers, there was nothing depressed about the economy in Hong Kong. Certainly one of the most popular attractions to Hong Kong is the food, and the conferees were treated to many epic and delicious meals. The final banquet featured a wonderful selection of dishes including traditional standards like Chinese bar-b-que, and special delights like crispy fish maws, and sweet bean soup for desert. A special treat at the banquet was an informal concert by Jojo Wong who played the erhu (a Chinese version of the violin) and Moody Lam who played the pipa (a Chinese guitar). The traditional music was a delight, even this untrained ear heard hints of Celtic fiddle tunes in the erhu, and wonderful Andalusian overtones in the pipa. The international audience gave the talented musicians a well deserved standing ovation. Finally the conference secretary, Colette Lam was one of the most competent and helpful people that I have ever dealt with. She solved all problems, and did so unobtrusively. The 120 participants from 26 countries were edified, charmed, and delighted by the conference, the city, and the people. A heartfelt thank-you to the organizers, and especially to Roderick Wong, who made this all possible. William Connett From: Paco Marcellan From June 21 to June 25 an International Workshop on Special Functions, with an emphasis in Asymptotics, Harmonic Analysis and Mathematical Physics was held at the City University of Hong Kong. The Organizing Committee, consisting of Charles Dunkl, Mourad Ismail and Roderick S. C. Wong, were in charge of a high level program: 18 one-hour invited lectures by the most relevant specialists in these subjects, 51 half-hour invited speakers and 42 short communications in three parallel sessions gave the possibility to experience the modern building of this young University. In fact, the workshop was one of the main activities of the University's 15th anniversary. All participants must thank the organizers for the friendly atmosphere as well as the computer facilities and the opportunity to taste authentic Chinese food not only in the University restaurant but in (at least) two places where we enjoyed the quality and quantity of a delicious buffet. Everyone agreed that a wonderful job was done by Colette Lam, an excellent secretary. (I think she is one of the most efficient people that I ever met as an administrative support in a scientific event.) On the other hand, from the scientific point of view, we had the occasion to hear from people working on many non-overlapping topics. What was very instructive for me was the set of wonderful lectures in orthogonal polynomials in several variables, a subject too often neglected in conferences on orthogonal polynomials, as well as the lectures on the role of special functions in integrable systems, solitons and algebraic combinatorics which open new fields of applications and increase the value of the research in our domain. The q-world was also present with many contributions, in particular I was very impressed by the work of Suslov on basic Fourier series. Finally, I would like to remark that the workshop justified the round trip from the dilapidated airport in Madrid airport to the modern and quiet one in Hong Kong. If you travel for 14 hours in each direction, you can imagine how it is possible to read and do mathematics away from your office! Paco Marcellan From: Nico Temme International Workshop on Special Functions The participants came from all disciplines, from applied to theoretical areas, from the classical to basic group theoretical q-aspects of special functions. Lectures on _Asymptotics_ were given by Wong (an overview of methods from uniform asymptotics, in particular for orthogonal polynomials), Olver (a new method for constructing error bounds for the asymptotic expansion of solutions of a class of difference equations, with application to Legendre functions), Huntley (on asymptotics of Gl(3,R) Whittaker functions), Dunster (on Airy-type uniform asymptotic expansions of generalised Bessel polynomials by using methods for differential equations), Temme (on asymptotic relations between the hypergeometrical polynomials of the Askey scheme), O'Malley (on several problems from singular perturbations that arise in boundary value problems), Nakano (on the WKB method for third order linear differential equations, with classification and discussion on the Stokes phenomenon), Qiu (on a new method to give uniform Airy-type asymptotics for orthogonal polynomials governed by an exponential weight function), Gerardin (on asymptotics of the eigenfunctions on type A affine buildings with rank >= 2), Martinez-Finkelshtein (on the distribution of the zeros of certain classical families of polynomials with parameters coupled with the large degree of the polynomials), Lopez (on asymptotic expansions of the symmetric Carlson-type elliptic integrals, complete with error bounds), Zarzo (on the zero distribution of solutions of oscillatory second order differential equations) and Zhao (on smoothing the Stokes discontinuity for a generalised Bessel function). I learned about several new problems, had many interesting discussions with new and old workers in the field of asymptotics and special functions, also in connection with a new effort to prove the Riemann hypothesis. We hope to meet again, and are preparing another meeting in this series of workshops in Amsterdam, 2002. Nico Temme, CWI, Amsterdam From: Charles F. Dunkl [Here is a report I wrote for the program officer at NSF (who awarded a travel grant]. The International Workshop on Special Functions- Asymptotics, Harmonic Analysis and Mathematical Physics was held at the City University of Hong Kong (in Kowloon, Hong Kong), June 21-25, 1999. The organizers were Professors Charles Dunkl (U. Virginia), Mourad Ismail (U. South Florida), Roderick Wong (City U. Hong Kong). Participants: There were 119 registered attendees from 29 different countries. Here is a list of countries with 4 or more participants (with actual number in parentheses): U.S. (30), Japan (18), Hong Kong (10), China (6), Spain (6), Canada (5), France (5), Germany (5), Netherlands (5), S. Korea (4). Lectures: There were 18 plenary lectures (50 mins.), 48 invited lectures (30 mins.) and 41 contributed talks (20 mins.). The plenary speakers were: K. Aomoto (Nagoya U., Japan), R. Askey (U. Wisconsin), T. Baker (Kyoto U., Japan), C. Berg (U. Copenhagen, Denmark), C. Dunkl (U. Virginia), G. Gasper (Northwestern U.), W. Gautschi (Purdue U.), E. Koelink (T.U. Delft, NL), A. McBride (U. Strathclyde, UK), F. Olver (U. Maryland), R. O'Malley (U. Washington), E. Opdam (Leiden U., NL), D. Stanton (U. Minnesota), N. Temme (CWI, NL), A. Terras (UCSD), L. Vinet (U.Montreal), R. Wong (City U., HK), Y. Xu (U. Oregon). Themes: In asymptotics, the talks concerned the new methods of uniform asymptotic expansions and hyperasymptotics. These methods allow greater regions of validity and exponential rates of decay of the error as the number of used terms from the asymptotic expansion increases. The special functions to which these methods are applied come mostly from differential equations. The workshop themes of mathematical physics and harmonic analysis became closely intertwined. Techniques from group theory and algebraic combinatorics are blended with the classical theories of hypergeometric functions and polynomials to produce important new structures, which allow more detailed study of the integrable models of quantum mechanics. In particular, systems of many identical particles, which allow symmetry group actions, such as Calogero-Moser-Sutherland models, occur in this context. In turn, these ideas from physics cross-fertilize research in special functions. Of course this includes functions of one or several variables. Future Directions: A panel discussion was part of the program. The plenary speakers and some others put forth their ideas about important problems. There was a strong sense that the interaction between modern mathematical physics and special functions (including group theory and algebraic combinatorics) has been very fruitful and beneficial. In more detail, some of the mentioned topics were: extend the idea of hyperasymptotic expansions to parametrized integrals and solutions of difference equations, discover better asymptotics for parabolic partial differential equations, the theory of expansions of functions in series of orthogonal polynomials of several variables, the study of multi-variable special functions and mathematical physics (including the hypergeometric functions of basic(q-) and elliptic types). As well, important connections between solvable quantum models and algebraic combinatorics (examples: the Rogers-Ramanujan identities, the n-factorial conjecture) were mentioned. Support: Contributions were made by Epson Foundation, K.C. Wong Education Foundation, Lee Hysan Foundation Ltd., Liu Bie Ju Centre for Mathematical Sciences at City U. HK, NSF, and the Royal Plaza Hotel (Kowloon). Charles F. Dunkl Topic #12 ------------- OP-SF NET 6.4 ------------- July 15, 1999 ~~~~~~~~~~~~~ From: Tom Koornwinder Subject: Review of "Hypergeometric Summation" by Wolfram Koepf [This review appeared in the June (printed) Newsletter] Wolfram Koepf, Hypergeometric Summation. An Algorithmic Approach to Summation and Special Function Identities, Advanced Lectures in Mathematics, Vieweg, Braunschweig/Wiesbaden, 1998. ISBN 3-528-06950-3, x+230 pp., 69.00 DM. The book under review deals with the very successful set of algorithms for hypergeometric summation which came to maturity during the last decade. This development started with Gosper's algorithm for indefinite summation in 1978, and got a decisive impetus by Zeilberger's algorithm for definite summation in 1990. Closely related is the WZ-method, while Petkovsek's algorithm provides a useful complement. These algorithms were extended to the $q$-case and (in some cases) to multiple summation. Also, analogous algorithms were developed for the case where one or both variables become continuous and derivatives and integrals replace differences and summations. Implementations of the algorithms in many different computer algebra systems were given, in particular in Maple and Mathematica. The success of these implementations has been enormous. It is a serious option nowadays to replace compendia of formulas for hypergeometric functions, or their electronic versions containing static formulas, by electronic utilities where the formula of desired type is produced by an implemented algorithm. A further, very attractive property of the Gosper-Zeilberger algorithm is that it not just produces an explicit sum evaluation or recurrence (if it exists), but also provides a few simple data (proof certificate) which give all ingredients for a short proof of the identity. These developments might revolutionize the way mathematics will be done in future, as is frequently argumented by Doron Zeilberger in an eloquent but provoking way. An account of these algorithms addressed to a wide audience was published in 1996 by Petkovsek, Wilf and Zeilberger in the book "A=B". The book under review is very much related to "A=B" in scope and aimed audience, but in many respects it is also different. Let me first discuss the similarities. Both books can be read with few preliminaries. They do not require earlier acquaintance with special functions or computer algebra algorithms or with computer algebra systems in practice. In both books the "five basic algorithms" by Sister Celine, Gosper, Zeilberger, Wilf-Zeilberger and Petkovsek take a prominent place (Koepf treats W-Z before Zeilberger's algorithm). Each of the two books gives many worked out sessions with Maple and Mathematica (in Koepf's book only Maple). Both books effectively bring the reader from scratch to a good understanding and knowledge of these algorithms and to a practical ability to use them. However, none of the books gives fully rigorous proofs that the algorithms are valid. Both books point to websites from where implementations by the author(s) of the algorithms can be downloaded. As for the differences, the style in "A=B" is looser, and the message that this topic is great fun is effectively sent to the reader. Standard hypergeometric notation is introduced in both books, and regularly used by Koepf, while "A=B" gives most sums with terms in the form of products of binomial coefficients. Koepf pays more attention to subtle aspects of the algorithms (for instance zeros occurring in the denominator), but he usually does not discuss these subtleties in an exhaustive way (see for instance the discussion about zeros in the denominator on various places in Ch.6 dealing with the Wilf-Zeilberger method). Thus, if one wants to be definitely convinced that the algorithm is correct, one has to go to Koepf's implementation, and check the details of his Maple code. Koepf gives more extensions of the algorithms than "A=B". Almost each chapter ends with a short discussion of the q-analogue. He discusses the extended Gosper algorithm and WZ method (for instance where in the evaluation of a definite sum different parities of n yield different analytic expressions). Very valuable additions, compared to "A=B", are Koepf's chapters 10-13 on, respectively, Differential equations for sums, Hyperexponential antiderivatives, Holonomic equations for integrals, Rodrigues formulas and generating functions. Koepf has a wealth of exercises at the end of each chapter, many more than in "A=B". Koepf's accompanying Maple source file hsum.mpl bundles all relevant procedures for single summation and single integration (q=1), while his file qsum.mpl gives many procedures for the q-case. These files are somewhat more comprehensive than Doron Zeilberger's Maple source files EKHAD and qEKHAD.. A very nice service of Koepf is that Maple worksheets for the various Maple sessions described in his book are available from his website. So, as a conclusion the book under review, together with the accompanying free software, can be very much recommended for self-study, for reference, and for usage in classroom and student seminars. NOTE: Free accompanying software can be downloaded from http://www.vieweg.de/welcome/downloads/supplements.htm or from http://www.imn.htwk-leipzig.de/\char'176 koepf/research.html Topic #13 ------------- OP-SF NET 6.4 ------------- July 15, 1999 ~~~~~~~~~~~~~ From: Vyacheslav Spiridonov Subject: Announcement of a book on self-similar systems "Self-Similar Systems", Proceedings of the International Workshop (July 30 - August 7, Dubna, Russia, 1998). Edited by V.B. Priezzhev and V.P. Spiridonov (JINR, E5-99-38, Dubna, 1999), 404 pp. ISBN 5-85165-525-9 This book consists of three parts: I. Wavelets and their applications. II. Self-structuring, quasicrystals, nonlinear equations. III. Orthogonal polynomials and special functions. The orthogonal polynomials session of the workshop was devoted to the centenary of the Soviet mathematician and mechanicist Ya.L. Geronimus. The contents of the corresponding part of the proceedings is given below. Complete information on the book is available on the web-page: http://thsun1.jinr.ru/meetings/98/sss/proceedings.html CONTENTS of PART III. Golinskii L., On the scientific legacy of Ya.L. Geronimus (to the hundredth anniversary) Andrievskii V.V. and Blatt H.-P., Local discrepancy theorems for the distribution of zeros of polynomials Aptekarev A.I. and Kaliaguine V.A., On a generalization of the nonlinear Langmuir chains Bangerezako G. and Magnus A.P., The factorization method for the semi-classical polynomials Belogrudov A., Semi-classical orthogonal polynomials and integrable chains Mantica G., Generalized Bessel functions: theoretical relevance, and computational techniques Marcellan F. and Petronilho J., Orthogonal polynomials and polynomial mappings on the unit circle Nikiforov A. and Skachkov M., Methods for computing the Hahn polynomials Osilenker B.P., Generalized trace formula for symmetric Legendre-Sobolev orthogonal polynomials Rodriguez J.M., Alvarez V., Romera E., and Pestana D., Generalized weighted Sobolev spaces Spiridonov V. and Zhedanov A., Self-similarity, spectral transformations and orthogonal and biorthogonal polynomials Stahl H., Rational best approximants in the Hardy space H^2 Steinbauer R., Considerations on Schur parameters with constant blocks Suetin P.K., Classical orthogonal polynomials in the theory of Schrodinger equation Van Assche W., Zero distribution of orthogonal polynomials with asymptotically periodic varying recurrence coefficients Topic #14 ------------- OP-SF NET 6.4 ------------- July 15, 1999 ~~~~~~~~~~~~~ From: Tom Koornwinder Subject: Postdoctoral position in special functions and computer algebra Two-year Postdoc position "Algorithmic Methods for Special Functions by Computer Algebra" Tom Koornwinder (Korteweg-de Vries Institute, University of Amsterdam) and Nico Temme (CWI Amsterdam) have obtained a grant from the Dutch national research organisation NWO for a two-year postdoc position in their joint new project "Algorithmic Methods for Special Functions by Computer Algebra". The purpose of this project is to investigate and develop algorithmic methods for special functions, in particular by using the principles of computer algebra, and to implement the obtained algorithms in existing computer algebra programs like Maple and Mathematica. The proposal consists of two main parts and a few optional parts. The first main part is related to the algorithms of Gosper and Zeilberger. It aims at an automated demonstration and generation of identities for non-terminating hypergeometric series. The second main part aims to develop algorithmic methods for handling uniform asymptotic expansions of special functions, both existing and new. Candidates should have a PhD in mathematics or related field or should expect to obtain this within a half year, and they should have knowledge and experience in one or preferably more of the areas - special functions - asymptotics - computer algebra algorithms and their implementation Please send applications including CV, list of publications and names of referents to Tom Koornwinder (thk@wins.uva.nl) or Nico Temme (nicot@cwi.nl). Further information about the project can also be obtained by contacting one of these persons. The above text can also be found on the web page http://turing.wins.uva.nl/~thk/links/postdoc.html Tom H. Koornwinder Nico M. Temme Korteweg-de Vries Institute for Math., CWI, P.O. Box 94079, Universiteit van Amsterdam, 1090 GB Amsterdam, Plantage Muidergracht 24, The Netherlands. 1018 TV Amsterdam, The Netherlands. tel +31-20-592 4240 tel.: +31-20-525 5297 (office), fax +31-20-592 4199 +31-20-525 5217 (secretary), email: nicot@cwi.nl +31-20-525 5101 (fax), URL: http://www.cwi.nl/~nicot +31-35-694 4981 (home) email: thk@wins.uva.nl URL: http://turing.wins.uva.nl/~thk/ Topic #15 ------------- OP-SF NET 6.4 ------------- July 15, 1999 ~~~~~~~~~~~~~ From: Allison Bogardo Subject: Richard C. DiPrima Prize Call for Nominations for The Richard C. DiPrima Prize The DiPrima Prize ----------------- SIAM will present the award at the 2000 SIAM Annual Meeting in Rio Grande, Puerto Rico, July 10-14. The award honors the memory of Richard C. DiPrima, long-time Chair of the Department of Mathematical Sciences at Rensselaer Polytechnic Institute and former President and energetic supporter of SIAM. The award will be based on an outstanding doctoral dissertation in applied mathematics. Eligibility ----------- The award, based on Ph.D. research in applied mathematics (defined as those topics covered in SIAM journals or series) is made to a young scientist. The Ph.D. thesis and all other Ph.D. requirements should have been completed in the time period from July 1, 1997 to June 30, 1999. The Ph.D. degree must be awarded by December 31, 1999. Description of the Award ------------------------ The award will consist of a certificate and a cash prize of $1,000. The SIAM President will notify the recipient of the award in advance of the award date and invite the recipient to attend the annual meeting to receive the award. Travel expenses will be paid by the prize fund. Nominations ----------- Nominations, along with a copy of the dissertation (in English), should be sent by February 15, 2000 to: Professor Ronald A. DeVore Chair, DiPrima Prize Selection Committee 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 Members of the selection committee are Russel Caflisch (UCLA), Andrew J. Wathen (University of Oxford, UK), and Ronald A. DeVore, Chair (University of South Carolina). Topic #16 ------------- OP-SF NET 6.4 ------------- July 15, 1999 ~~~~~~~~~~~~~ From: Allison Bogardo Subject: Call for Nominations: Dantzig Prize CALL FOR NOMINATIONS FOR THE GEORGE B. DANTZIG PRIZE 2000 Nominations are solicited for the George B. Dantzig Prize, administered jointly by the Mathematical Programming Society (MPS) and the Society for Industrial and Applied Mathematics (SIAM). This prize is awarded to one or more individuals for original research which by its originality, breadth and depth, is having a major impact on the field of mathematical programming. The contributions(s) for which the award is made must be publicly available and may belong to any aspect of mathematical programming in its broadest sense. Strong preference will be given to candidates that have not reached their 50th birthday in the year of the award. The prize will be presented at the Mathematical Programming Society's triennial symposium, to be held 7-11 August 2000 in Atlanta, Georgia, USA. Past prize recipients are listed on the MPS Web site http://www.caam.rice.edu/~mathprog/ ). The members of the prize committee are William H. Cunningham, Claude Lemarechal, Stephen M. Robinson (Chair), and Laurence A. Wolsey. Nominations should consist of a letter describing the nominee's qualifications for the prize, and a current curriculum vitae of the nominee including a list of publications. They should be sent to Stephen M. Robinson Department of Industrial Engineering University of Wisconsin-Madison 1513 University Avenue Madison, WI 53706-1572, USA E-mail: smrobins@facstaff.wisc.edu Nominations must be received by 15 October 1999. Any nominations received after that date will not be considered. Submission of nomination materials in electronic form (e-mail with attachments as needed) is strongly encouraged. Topic #17 ------------- OP-SF NET 6.4 ------------- July 15, 1999 ~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: OP-SF preprints in xxx archive The following preprints related to the field of orthogonal polynomials and special functions were recently posted or cross-listed to one of the subcategories of the xxx archives. See: 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.RT/9905045. Yu. A. Neretin. Matrix analogs of B-functions and Plancherel formula for Berezin kernel representations. RT (CA DG MP). math.CA/9906095. Charles F. Dunkl, Donald E. Ramirez (University of Virginia). Computation of the Generalized F Distribution. 15 pages. CA. math.CA/9906041. Charles F. Dunkl, (University of Virginia). Planar Harmonic Polynomials of Type B. 17 pages. CA. math.QA/9906092. Anne Schilling, S. Ole Warnaar. Conjugate Bailey pairs. 29 pages. ITFA-99-12. QA (CO). solv-int/9907001 [abs, src, ps, other] : Title: Classical skew orthogonal polynomials and random matrices Authors: M. Adler, P.J. Forrester, T. Nagao, P. van Moerbeke Comments: 21 pages, no figures hep-th/9906114 [abs, src, ps, other] : Title: Airy functions in the thermodynamic Bethe ansatz Authors: Paul Fendley Comments: 4 pages Subj-class: High Energy Physics - Theory; Mathematical Physics cond-mat/9905178 [abs, src, ps, other] : Title: Rodrigues Formula for the Nonsymmetric Multivariable Hermite Polynomial Authors: Hideaki Ujino, Miki Wadati Comments: 5 pages, LaTeX Subj-class: Statistical Mechanics Journal-ref: J. Phys. Soc. Jpn. 68 (1999) 391-395 cond-mat/9905179 [abs, src, ps, other] : Title: Rodrigues Formula for the Nonsymmetric Multivariable Laguerre Polynomial Authors: Akinori Nishino, Hideaki Ujino, Miki Wadati Comments: 6 pages, LaTeX Subj-class: Statistical Mechanics Journal-ref: J. Phys. Soc. Jpn. 68 (1999) 797-802 Topic #18 ------------- OP-SF NET 6.4 ------------- July 15, 1999 ~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: Changes of Address, WWW Pages, etc Juergen Prestin has a Home Page at: http://www.gsf.de/institute/ibb/prestin/ Topic #19 ------------- OP-SF NET 6.4 ------------- July 15, 1999 ~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: Subscribing to OP-SF NET There are two ways to subscribe to OP-SF NET: 1. Send a message to poly-request@siam.org with your name and email address in the body of the message. If everything works well, you will be put on the mailing list of OP-SF NET which is maintained by SIAM. 2. 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Topic #20 ------------- OP-SF NET 6.4 ------------- July 15, 1999 ~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: Obtaining back issues of OP-SF NET and submitting contributions to OP-SF NET and Newsletter Back issues of OP-SF NET can be obtained from ftp: ftp.wins.uva.nl, in directory pub/mathematics/reports/Analysis/koornwinder/opsfnet.dir or WWW: http://turing.wins.uva.nl/~thk/opsfnet/ or WWW: http://www.math.ohio-state.edu/JAT/DATA/OPSFNET/opsfnet.html Contributions to the OP-SF NET 6.5 should reach the email address poly@siam.org before September 1, 1999. The Activity Group also sponsors a (printed) Newsletter edited by Renato Alvarez-Nodarse and Rafael Yanez. The deadline for submissions to be included in the October 1999 issue is September 15, 1999 and for the February 2000 issue it is January 15, 2000. Please send your 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: renato@gandalf.ugr.es ran@cica.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. Please note that submissions to the Newsletter (if not containing mathematics symbols or pictures) are automatically considered for publication in OP-SF NET, and vice versa, unless the writer requests otherwise. Previous issues of the Newsletter, but not the most recent one, can be obtained as dvi or PostScript files from Wolfram Koepf's WWW homepage: http://www.imn.htwk-leipzig.de/~koepf/siam.html In order to join the SIAM Activity Group on Orthogonal Polynomials and Special Functions, and thereby receive the Newsletter, you have to become a member of SIAM. The annual dues are $93 for SIAM plus $10 for the Group. Student memberships are $20 a year with free membership in one Activity Group. Postgraduates can join for $45 a year (for three years). Contact the email address join@siam.org 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: majordomo@wins.uva.nl - - Get back issues from URL: http://turing.wins.uva.nl/~thk/opsfnet/ - - WWW home page of this Activity Group: - - http://www.math.yorku.ca/siamopsf/ - - Information on joining SIAM - - and this activity group: service@siam.org - o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o - The elected Officers of the Activity Group (1999-2001) are: - - Daniel W. Lozier, Chair - - Walter Van Assche, Vice Chair - - Charles F. Dunkl, Secretary - - Francisco J. Marcellan, Program Director - - The appointed officers are: - - Renato Alvarez-Nodarse and Rafael J. 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