o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o - - - May 15, 1997 - - O P - S F N E T Volume 4, Number 3 - - ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - - Editors: - - Tom H. Koornwinder thk@wins.uva.nl - - 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 - - & address changes to: poly-request@siam.org - - - o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o Today's Topics: 1. Reciprocity arrangements 2. University of Wisconsin Centenary Conference, including minisymposium on special functions (addendum) 3. Updated information on Orthogonal Polynomials session at First ISAAC Conference 4. Meeting on Continued Fractions and Geometric Function Theory 5. Computer Algebra at VIII SPOA 6. Oberwolfach Meeting on Applications and Computation of Orthogonal Polynomials 7. Leganes IWOP '96 Proceedings 8. Call for Nominations/Polya Prize 9. Call for Nominations/DiPrima Prize 10. New book on computation of special functions 11. SIAM Review 12. ftp site for papers in Orthogonal Polynomials and Special Functions 13. Changes of Address, WWW Pages, etc. 14. Obtaining back issues of OP-SF Net and submitting contributions to OP-SF Net and Newsletter Calendar of events: see issue/topic: 1997 March 17 - May 30: MSRI program on Symmetric functions and representation theory 3.3 #5 May 22-24: Centenary Conference, including minisymposium on special functions in Madison, Wisconsin 3.4 #5, 4.2 #2 and 4.3 #2 June 3-7: First ISAAC Conference (International Society for Analysis, its Applications and Computation) in Newark, Delaware 4.1 #2 and 4.3 #3 June 9-20: CRM Workshop on Algebraic Combinatorics, Montreal 3.5 #4 June 24-28: Continued Fractions and Geometric Function Theory, Trondheim, Norway 3.2 #8 and 4.3 #4 July 14-18: SIAM 45th Anniversary Meeting, Stanford, California including Minisymposium on "Handbooks for Special Functions and the World Wide Web" 4.2 #1 July 14-18: 9th International Conference on Formal Power Series and Algebraic Combinatorics, Vienna, Austria 3.4 #7 July 28 - August 2: VIII International Conference on Symmetry Methods in Physics, Dubna, Russia 4.2 #3 September 22-26: VIII Simposium sobre Polinomios Ortogonales y Aplicaciones, Seville, Spain 3.5 #5, 4.2 #4 and 4.3 #5 1998 March 22-28: Meeting on Applications and Computation of Orthogonal Polynomials, Oberwolfach, Germany 4.3 #6 July 13-17: SIAM Annual Meeting, Toronto, Canada Topic #1 -------------- OP-SF NET 4.3 ------------- May 15, 1997 ~~~~~~~~~~~~~ From: Charles Dunkl Subject: Reciprocity arrangements There has been discussion among the Activity Group officers and the leadership of SIAM regarding reciprocity arrangements. Specifically we are studying the feasibility of permitting membership in this activity group to people who are not members of SIAM but are members of professional societies which have a reciprocity arrangement with SIAM; this may mean a limited membership at reduced rate, with corresponding reduction in privileges such as receiving the SIAM Review. Possibly this hypothetical arrangement would involve associate status and somewhat increased dues to pay for the printing and postage charges, which are somewhat subsidized by SIAM dues. The main benefit would be the subscription to the printed Newsletter, which currently appears three times a year. Now we address this question to the readers of this electronic newsletter who are not SIAM members: would you be interested in such an arrangement? is your professional society willing to participate? If yes, please send e-mail messages to us; this information can help us in discussions with SIAM officers. Please answer before the end of June so we can prepare for the coming annual SIAM meeting in July. Charles Dunkl (cfd5z@virginia.edu) Topic #2 -------------- OP-SF NET 4.3 ------------- May 15, 1997 ~~~~~~~~~~~~~ From: Charles Dunkl Subject: University of Wisconsin Centenary Conference, including minisymposium on special functions (addendum) In OP-SF NET 4.2, Topic #2, there was a list of speakers and titles for the minisymposium on special functions to be held during the University of Wisconsin Centenary Conference to be held in Madison, Wisconsin, May 22-24, 1997. Anatol Kirillov and Sergei Suslov have been added to the list of speakers. The web site for the Conference is at http://math.wisc.edu/events/cent.html Topic #3 -------------- OP-SF NET 4.3 --------------- May 15, 1997 ~~~~~~~~~~~~~ From: Wolfram Koepf Subject: Updated information on Orthogonal Polynomials session at First ISAAC Conference The First ISAAC (International Society for Analysis, its Applications and Computation)to be held in Newark, Delaware, USA, June 3-7, 1997 was announced in OP-SF NET 4.1 Topic #2. Here we give updated information, especially on the Section on Orthogonal Polynomials. The Conference Secretary is Pam Irwin Department of Mathematics University of Delaware email: irwin@math.udel.edu There is an online registration form available. Session 13 of this conference will be devoted to Orthogonal Polynomials, organized by Wolfram Koepf. The emphasis of this session will be on the use of symbolic computation in connection with orthogonal polynomials and special functions. Symbolic computation has the potential to change the daily work of everybody who uses orthogonal polynomials or special functions in research or applications. It is the purpose of the proposed section to bring together developers of symbolic algorithms and implementations which are connected with orthogonal polynomials and special functions with users of computer algebra systems who need this type of software. Note that Wolfram Koepf will present a Plenary Lecture at the Conference on Orthogonal Polynomials and Computer Algebra, scheduled on Friday, June 6, 8.45. Tentative schedule of Session 13: Friday, June 6, 10.15: Wolfram Koepf: Opening of the session Friday, June 6, 10.15-10.45: Andre Ronveaux: Recurrence Relations for Connecting Coefficients Between Some Orthogonal Polynomials Families - A Simple Algorithm (Mathematica) Friday, June 6, 10.50-11.20: Ivan Area, E. Godoy, A. Ronveaux and A. Zarzo: Inversion Problems for Classical Orthogonal Polynomials and their q-analogues Friday, June 6, 11.25-11.55: A. Zarzo: Spectral Properties of Orthogonal Polynomials: A Computer Algebra Approach Friday, June 6, 12.00-12.30: Tom H. Koornwinder, Rene Swarttouw: An Algorithm for Identifying Orthogonal Polynomials Given by Their Three-Term Recurrence Relation as Special Functions Friday, June 6, 12.30-2.00 p.m.: Lunch break Friday, June 6, 2.00-2.30 p.m.: Doron Zeilberger: The Super-Holonomic Hierarchy Friday, June 6, 2.35-3.05 p.m.: Tewodros Amdeberhan, Shalosh B. Ekhad: Computer Aided Proofs of a Determinant Identity Friday, June 6, 3.10-3.40 p.m.: John Majewicz: On a Positivity Conjecture of Richard Askey Friday, June 6, 3.40-4.10 p.m.: Coffee break Friday, June 6, 4.10-4.40 p.m.: Richard A. Askey: Some Problems on Orthogonal Polynomials Friday, June 6, 4.45-5.15 p.m.: Tewodros Amdeberhan: Two Symmetry Problems in Potential Theory Saturday, June 7, 10.15-10.45: Kelly Roach: Integrals of Orthogonal Polynomials and Functions Saturday, June 7, 10.50-11.20: Rafael J. Yanez: A. Zarzo and J. Ruano: Computer Algebra Handling of Hypergeometric-type Functions Saturday, June 7, 11.25-11.55: Charles F. Dunkl: Using Maple to Explore Special Functions of Several Variables Saturday, June 7, 12.00-12.30: Victor Adamchik: On Series Involving the Riemann Zeta Function Saturday, June 7, 12.30-2.00 p.m.: Lunch break Saturday, June 7, 2.00-2.30: Yang Chen, Mourad Ismail: Asymptotics of the Largest Zeros of Some Orthogonal Polynomials Saturday, June 7, 2.35-3.05 p.m.: Natig M. Atakishiyev: On the Fourier-Gauss Transforms of Some q-exponential and q-trigonometric Functions Saturday, June 7, 3.10-3.40: Alan Schwartz: Polynomials of Several Variables and Harmonic Analysis If you are interested in participating in this session, send a message to koepf@zib.de Information on the Section and the Conference is maintained at http://www.zib-berlin.de/~bzfkoepf/isaac.html Topic #4 -------------- OP-SF NET 4.3 --------------- May 15, 1997 ~~~~~~~~~~~~~ From: Editor Subject: Meeting on Continued Fractions and Geometric Function Theory Alan Beardon, Bruce Berndt, Annie Cuyt, Peter L. Duren, William B. Jones, Thomas MacGregor and Francisco Marcellan are the plenary speakers that have so far have been scheduled during the meeting on Continued Fractions and Geometric Function Theory which will be held in Trondheim, Norway from 24 to 28 June 1997. The conference is in honour of the 70th birthday of Haakon Waadeland; see OP-SF NET 3.2, Topic #8. Further information is available at the conference web site: http://www.matstat.unit.no/CFGT/ Topic #5 -------------- OP-SF NET 4.3 --------------- May 15, 1997 ~~~~~~~~~~~~~ From: Renato Alvarez Nodarse Subject: Computer Algebra at VIII SPOA In Sevilla, during the the VIII Symposium on OPs and their Applications, September 22-26, 1997 (OP-SF NET 3.5 #5 and 4.2 #4) there will be a special session dedicated to Computer Algebra. The session will be organized by SCAGOP (Spanish Computer Algebra Group on Orthogonal Polynomials). The main aim of the session will be the use of symbolic computation in connection with orthogonal polynomials and related topics (special functions, approximation theory, etc). The invited speaker of the session will be Professor Tom H. Koornwinder (University of Amsterdam). A tentative title of his lecture is: A survey of symbolic computation for orthogonal polynomials and special functions. People interested in presenting a communication in the session should indicate it when they fill the official registration form. We expect that will be possible to provide "on line" demonstrations during the session (Maple and Mathematica). For more information about the session please contact us (SCAGOP) at renato@dulcinea.uc3m.es . The session will be partially supported by Addlink Software Cientifico and Junta de Andalucia. More information about this session can be obtained in http://dulcinea.uc3m.es/users/scagop/scagop.html (Forthcoming events) and in the official site http://www.wis.kuleuven.ac.be/wis/applied/walter/sevilla.html Topic #6 -------------- OP-SF NET 4.3 --------------- May 15, 1997 ~~~~~~~~~~~~~ From: Editor Subject: Oberwolfach Meeting on Applications and Computation of Orthogonal Polynomials A meeting on Applications and Computation of Orthogonal Polynomials will be held at Mathematisches Forschungsinstitut Oberwolfach, Germany from March 22 to March 28, 1998. Organizers: Walter Gautschi, West Lafayette Gene H. Golub, Stanford Gerhard Opfer, Hamburg Participants of the meetings at Oberwolfach are invited personally by the director of the institute. The participation is subject to such an invitation. Interested researchers, in particular young mathematicians, can contact the administration of the institute (admin@mfo.de). Since the number of participants is restricted not all enquiries can be considered. URL of Oberwolfach: http://www.mfo.de/ Topic #7 -------------- OP-SF NET 4.3 --------------- May 15, 1997 ~~~~~~~~~~~~~ From: Renato Alvarez Nodarse Subject: Leganes IWOP '96 Proceedings The Proceedings of the IWOP '96 (International Workshop on Orthogonal Polynomials, June 1996) edited by M. Alfaro, R. Alvarez-Nodarse, G. Lopez Lagomasino, and F. Marcellan. Servicio de Publicaciones de la Universidad Carlos III de Madrid. Leganes, Madrid, (1997) have appeared but they are available also (free of charge) in the URL site http://dulcinea.uc3m.es/users/workshop/proceedings.html and http://dulcinea.uc3m.es/users/workshop/workshop.html The proceedings include some of the talks given during the Workshop. Here are the titles of the articles: R. Alvarez-Nodarse, F. Marcellan and J.Petronilho, On Some Polynomial Mappings for Measures. Applications. J. Arvesu, Laguerre Polynomials in a Quantum Statistical Model Natig M. Atakishiyev, Continuous Solutions of Difference Equations and their Orthogonality Relations A. Duran, On orthogonal matrix polynomials F. Finkel, A. Gonzalez-Lopez and M. A. Rodriguez, Orthogonal Polynomials and Quasi-Exactly Solvable Potentials on the Line M. Frontini and A. Tagliani, Entropy-Convergence, Instability in Stieltjes and Hamburger Moment Problem Lucas Jodar and Emilio Defez, Some New Matrix Formulas Related to Hermite Matrix Polynomials J. Koekoek and R. Koekoek, Finding differential equations for symmetric generalized ultraspherical polynomials by using inversion methods E. Koelink, Convolution and addition theorems for q-orthogonal polynomials M.X. He, P. Natalini, and P.E. Ricci, A Class of Jacobi Polynomials Orthogonal with Respect to Varying Weights A. Ronveaux, Orthogonal polynomials: connection and linearization coefficients Jorge Sanchez-Ruiz, Position and Momentum Information Entropies of the Harmonic Oscillator and Logarithmic Potential of Hermite Polynomials Yu. F. Smirnov, On Factorization and Algebraization of Difference Equations of Hypergeometric Type Topic #8 -------------- OP-SF NET 4.3 --------------- May 15, 1997 ~~~~~~~~~~~~~ From: Allison Bogardo Subject: Call for Nominations/Polya Prize CALL FOR NOMINATIONS for GEORGE POLYA PRIZE The Polya Prize --------------- SIAM will present the award at the 1998 SIAM Annual Meeting in Toronto, Canada, July 13-17. The award honors the memory of George Polya and will be given for a notable contribution in one of the following areas: approximation theory, complex analysis, number theory, orthogonal polynomials, probability theory, or mathematical discovery and learning. Eligibility ----------- There are no restrictions except that the prize is broadly intended to recognize specific work. Description of Award -------------------- The award will consist of an engraved medal and a $20,000 cash prize. Nominations ----------- A letter of nomination, including a description of achievement(s), should be sent by October 1, 1997, to: Professor Harry Kesten Chair, Polya Prize Selection Committee c/o Allison Bogardo SIAM 3600 University City Science Center Philadelphia, PA 19104-2688 Telephone: (215) 382-9800 Fax: (215) 386-7999 E-mail: bogardo@siam.org Other members of the selection committee are Lennart Carleson (Royal Institute of Technology, Stockholm), Barry Mazur (Harvard University), Paul Nevai (The Ohio State University), and Andrew Yao (Princeton University). Topic #9 -------------- OP-SF NET 4.3 --------------- May 15, 1997 ~~~~~~~~~~~~~ From: Allison Bogardo Subject: Call for Nominations/DiPrima Prize CALL FOR NOMINATIONS for THE RICHARD C. DiPRIMA PRIZE The DiPrima Prize ----------------- SIAM will present the award at the 1998 SIAM Annual Meeting in Toronto, Canada, July 13-17. The award honors the memory of Richard C. DiPrima, long-time Chair of the Department of Mathematical Sciences at Rensselaer Polytechnic Institute and past-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, 1995 to June 30, 1997. The Ph.D. degree must be awarded by December 31, 1997. 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. Nominations ----------- Nominations, along with a copy of the dissertation (in English), should be sent by November 30, 1997 to: Professor Gilbert Strang Chair, DiPrima Prize Selection Committee c/o Allison 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 Philip Holmes (Princeton University), Gilbert Strang (MIT), and Shmuel Winograd (IBM Research Center). Topic #10 -------------- OP-SF NET 4.3 ------------- May 15,1997 ~~~~~~~~~~~~~ From: OP-SF Net editor Subject: New book on computation of special functions S. Zhang and J. Jin, Computation of special functions Wiley, 1996 ISBN 0-471-11963-6 >From Professor Jin's web site (http://iris-lee3.ece.uiuc.edu/~jjin/specfunc.html): "The computation of special functions is a fundamental aspect of numerical analysis in virtually all areas of engineering and the physical sciences. Because most of these special functions are in the form of infinite series or infinite integrals, their solutions are quite complicated. Fortunately, the difficulty has been lessened considerably by the advent of powerful personal computer hardware and software. Yet, until now, there has been no single-source reference offering comprehensive coverage of the automated computation of special functions. "Computation of Special Functions is a valuable book/software package containing more than 100 original computer programs for the computation of most special functions currently in use. These include many functions commonly omitted from available software packages, such as the Bessel and modified Bessel functions, the Mathieu and modified Mathieu functions, parabolic cylinder functions, and various prolate and oblate spheroidal wave functions. Also, unlike most software packages, this book/disk set gives readers the latitude to modify programs according to special demands of the sophisticated problems they are working on. The authors provide detailed descriptions of the programs algorithms as well as specific information about each program's internal structure. "To facilitate quick reference, each chapter follows the same, three-part format. The first part covers major properties and important formulas needed for computation. The second part of each chapter contains a description of the algorithm or algorithms at the heart of the FORTRAN-77 program in question, and in the third part, the authors tabulate representative results to provide an at-a-glance understanding of the function's behavior as well as a valuable data-check for their computed results. "Computation of Special Functions is an indispensable tool for engineers and physical scientists as well as students involved in advanced research in these fields. "To order, contact John Wiley and Sons, Inc., One Wiley Drive, Somerset, NJ 08875. 1-800-CALL-WILEY" Topic #11 -------------- OP-SF NET 4.3 --------------- May 15, 1997 ~~~~~~~~~~~~~ From: OP-SF Net editor Subject: SIAM Review In OP-SF Net 4.2, Topic #11 we mentioned the possible ending of the problem session in SIAM Review, and we added comments by several people. The recent issue Vol. 39, Number 1 of SIAM Review opens with an item "Changes planned for SIAM Review". Beginning in 1999 SIAM Review will consist of five sections: - Survey and Review - Problems and Techniques - Selected papers from SIAM's research journals - Education - Book reviews No problem session is mentioned. The second section, where you might suspect a problem session, will consist of papers. These plans seem to be definite. The blueprint was approved by SIAM's council and Board of Trustees in July 1996. Questions about the new content or structure of SIAM Review can be addressed to Mary Rose Muccie, SIAM Editorial Director (email muccie@siam.org). Topic #12 -------------- OP-SF NET 4.3 --------------- May 15, 1997 ~~~~~~~~~~~~~ From: OP-SF Net editor Subject: ftp site for papers in Orthogonal Polynomials and Special Functions Hans Haubold's ftp archive for preprints in the area of Orthogonal Polynomials and Special functions is the continuation of Waleed Al-Salam's preprint archive. One can approach the archive by anonymous ftp to unvie6.un.or.at, directory siam. Very recently, Hans Haubold has constructed a convenient WWW interface for this ftp site, at the address ftp://unvie6.un.or.at/siam/opsf_new/00index.html This home page links to pages - Index by Author (with links to the actual manuscript files) - Abstracts listed by Author(s) (mostly with abstracts of papers for which the full manuscript file resides elsewhere; hyperlinks are provided) - Submission form You can also move from the home page to the ftp interface and to the the submissions directory, where the most recent contributions reside. The WWW interface is beautifully done. We recommend that you visit it. There are two new features in connection with submitting manuscripts to the ftp site: - If you submit a file with a full manuscript, it is recommended (though not obligatory) to also supply an abstract file (plain ASCII text, no TeX). - It is also possible to submit only an abstract file together with a hyperlink to the actual full manuscript. In this case, please supply the hyperlink in the "Comments" Text-Area, when filling out the submission form. Hans Haubold is sending regular information about new submissions to a large mailing list. Please contact him if you want to be added to this mailing list or if your email address on the list is no longer correct. Since March 15, 1997 the following papers have been submitted to the archive: J.V. Stokman and T.H. Koornwinder, On some limit cases of Askey-Wilson polynomials. (see siam/submissions/classicalAWlimit.abstract). Topic #13 -------------- OP-SF NET 4.3 --------------- May 15, 1997 ~~~~~~~~~~~~~ From: The Editors , Subject: Changes of Address, WWW Pages, etc. Paul Floris, who worked on quantum groups and q-special functions, has taken a computer science oriented position at IBM: Paul Floris IBM Netherlands N.V. P.O. Box 24 1420 AA Uithoorn. The Netherlands email: pfloris@vnet.ibm.com Topic #14 -------------- OP-SF NET 4.3 --------------- May 15, 1997 ~~~~~~~~~~~~~ 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: ftp://ftp.wins.uva.nl/pub/mathematics/reports/Analysis/koornwinder/opsfnet.dir or WWW: http://www.math.ohio-state.edu/JAT/DATA/OPSFNET/opsfnet.html Contributions to the OP-SF Net 4.4 should reach the email address poly@siam.org before July 1, 1997. The Activity Group also sponsors a (printed) Newsletter edited by Wolfram Koepf. Deadline for submissions to be included in the June 1997 issue is May 15, 1997 and for the October 1997 issue it is September 15, 1997. Please send your Newsletter contributions directly to the Editor: Wolfram Koepf Konrad-Zuse-Zentrum Takustr. 7 D-14195 Berlin-Dahlem, Germany tel.: +49-30-841 85-348/347 fax: +49-30-841 85-269/125 email: koepf@zib.de 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.zib.de/koepf/ or by anonymous ftp at ftp.zib.de in directory pub/UserHome/Koepf/SIAM 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. 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 - - Send address changes to: poly-request@siam.org - - Get back issues by ftp from: ftp.wins.uva.nl, in directory - - pub/mathematics/reports/Analysis/koornwinder/opsfnet.dir - - WWW home page of this Activity Group: - - http://www.math.yorku.ca/Who/Faculty/Muldoon/siamopsf/ - - Information on joining SIAM - - and this activity group: service@siam.org - o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o - The elected Officers of the Activity Group are: - - Charles Dunkl, Chair - - Tom H. Koornwinder, Vice Chair and OP-SF Net editor - - Nico M. Temme, Secretary - - Willard Miller, Jr., Program Director - - The appointed officers are: - - Wolfram Koepf, Newsletter editor - - Martin Muldoon, Webmaster and OP-SF Net editor - o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o