o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o September 15, 2004 O P - S F N E T Volume 11, Number 5 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 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. Election of Officers for 2005-2007 2. Temme Conference on Special Functions: Asymptotic Analysis and Computation 3. Sessions at Atlanta Joint Meetings 4. Davis Group on Hecke Algebras and Orthogonal Polynomials 5. New book by Gautschi on Orthogonal Polynomials 6. Prizes Awarded at SIAM Annual Meeting 7. James H. Wilkinson Prize - Call for Nominations 8. SIAG/DS Jurgen Moser Lecture - Call for Nominations 9. SIAG/DS J. D. Crawford Prize - Call for Nominations 10. Preprints in arXiv.org 11. About the Activity Group 12. Submitting contributions to OP-SF NET Calendar of Events: 2004 November 7-9: CONSTRUCTIVE FUNCTIONS TECH-O4, Atlanta, Georgia, USA 10.5 #3 www.math.gatech.edu/news/conferences/at04/ 2005 January 5-8: Joint Mathematics Meetings, Atlanta, Georgia, USA, including two Special Sessions in orthogonal polynomials and special functions 11.5 #3 http://www.ams.org/amsmtgs/2091_intro.html July 4-6: Special Functions: Asymptotic Analysis and Computation, a Conference in honor of Nico Temme's 65th Birthday, Santander, Spain 11.5 #2 http://www.sf05.unican.es/ July 11-15: SIAM Annual Meeting, New Orleans, Louisiana, USA http://www.siam.org/meetings/AN05/ July 25-29: OPSFA8/ICDEA10 - Eighth International Symposium on Orthogonal Polynomials, Special Functions and Applications and Tenth International Conference on Difference Equations and Applications, Munich, Germany 10.6 #3 2006 August 22-30 International Congress of Mathematicians, Madrid, Spain http://www.icm2006.org/ Future Plans: Dan Lozier (OP-SF NET 9.4, Topic #2) suggests a SIAM-sponsored meeting in Orthogonal Polynomials and Special Functions to be held in Washington, DC. Present planning suggests a date in the fall of 2005 or in 2006. Topic #1 --------- OP-SF NET 11.5 ---------- September 15, 2004 ~~~~~~~~~~~~~~ From: Dan Lozier Subject: Election of Officers for 2005-2007 Officers of our activity group are elected for 3-year terms. The next term begins on January 1. The election will be conducted by SIAM. Recently SIAM announced it will begin electronic voting this fall, but it will mail paper ballots to members who prefer them. If you wish to receive a paper ballot, please contact SIAM. The ballots will list one candidate for each office: Chair: Peter Clarkson, University of Kent, England Vice Chair: Dan Lozier, NIST, Gaithersburg, Maryland Program Chair: Pete McCoy, US Naval Academy, Annapolis, Maryland Secretary: Javier Segura, University of Cantabria, Spain The ballots will also provide space for write-in votes. The candidates listed on the ballot were selected by the Nominating Committee, consisting of the current officers plus two members of the activity group invited to serve by the SIAM President, James (Mac) Hyman. The nominating committee members were Dan Lozier, Walter Van Assche, Francisco (Paco) Marcellan, Peter Clarkson, Pete McCoy and Javier Segura. Topic #2 --------- OP-SF NET 11.5 ---------- September 15, 2004 ~~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: Temme Conference on Special Functions: Asymptotic Analysis and Computation A Conference "Special Functions: Asymptotic Analysis and Computation", will be held in Santander, Spain in the period July 4-6, 2005. The following information is taken from the Conference web site: http://www.sf05.unican.es/ The aim of this conference is to provide an opportunity for researchers in the fields of the asymptotic analysis and the computation of special functions to review past developments, discuss the impact and practical relevance, and envision possible future directions. The conference is organised in honor of the 65th birthday of Nico M. Temme, who has made major contributions to these areas. The provisional list of speakers includes: Michael Berry (to be confirmed) Kathy Driver T.M. Dunster (to be confirmed) Luigi Gatteschi David Kaminski Tom Koornwinder Dan Lozier Francesco Mainardi Francisco Marcellan Frank Olver (to be confirmed) Richard Paris Jesús Sánchez-Dehesa Javier Sesma The Organizing Committee consists of: Amparo Gil (U. Cantabria, Spain) José Luis López (U. Pública de Navarra, Spain) Pete McCoy (USNA, USA) Adri Olde Daalhuis (U. Edinburgh, UK) Javier Segura (U. Cantabria, Spain) The Conference is sponsored by the SIAM Activity Group on Orthogonal Polynomials and Special Functions. A Call for Papers and Registration information will be forthcoming. The contact E-mail address is: sf05@unican.es Topic #3 --------- OP-SF NET 11.5 ---------- September 15, 2004 ~~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: Sessions at Atlanta Joint Meetings The Joint Mathematics Meetings to be held in Atlanta, Georgia, USA, in the period January 5-8, 2005 include two Special Sessions in the areas of orthogonal polynomials and special functions: (1) AMS-SIAM Special Session on Orthogonal Polynomials---Random Matrices---Integrable Systems: Interdisciplinary Aspects organized by Jinho Baik, University of Michigan, Steven B. Damelin, Georgia Southern University and Peter D. Miller, University of Michigan. This session is scheduled for Thursday January 6, 2005, 8:00 a.m.-11:50 a.m. and 1:00 p.m.-3:50 p.m. 2) AMS-SIAM Special Session on Integrable Systems and Special Functions organized by Andras Balogh, University of Texas-Pan American, Mourad E. H. Ismail, University of Central Florida, Wen-Xiu Ma, University of South Florida and Zhijun Qiao, Los Alamos National Laboratory. This session is scheduled for Friday January 7, 2005, 8:00 a.m.-10:50 a.m. and for Saturday January 8, 2005, 8:00 a.m.-10:50 a.m. and 1:00 p.m.-5:50 p.m. More information on the Joint Meetings is available at http://www.ams.org/amsmtgs/2091_intro.html Topic #4 --------- OP-SF NET 11.5 ---------- September 15, 2004 ~~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: Davis Group on Hecke Algebras and Orthogonal Polynomials The following information on the Research Focus Group in "Hecke Algebras and Orthogonal Polynomials" at the University of California, Davis is taken from their web site at http://www.math.ucdavis.edu/~vazirani/RFG/rfg.html [From the "research" link:] Both Hecke algebras and orthogonal polynomials are a rich source of combinatorics. Furthermore, the relationship between the two topics is deep and interesting and has led to exciting results in current research. Orthogonal polynomials and special functions have applications to many areas, such as quantum integrable systems, harmonic analysis of simple Lie groups, The general theme of the RFG is to introduce students to areas of research available in the department, such as orthogonal polynomials, elliptic hypergeometric functions, symmetric functions, Coxeter groups, combinatorics, the representation theory of Hecke algebras, Kazhdan-Lusztig theory, crystal base theory, and applications in physics. One quarter will be spent studying Hecke algebras, another studying orthogonal polynomials, and another developing the connections between the two topics. While some connections will be pointed out along the way, students and faculty could easily participate in the second quarter's activities without having been involved in those of the first quarter. In the reading seminar we expect active participation by students who will take turns to present chapters of the books or articles of common interest. In addition we expect the students with combinatorial interest to participate in the Bay Area Discrete Math day in October of 2004 and March 2005. Suggested books and papers include: Macdonald "Symmetric functions and orthogonal polynomials," Szego "Orthogonal Polynomials," Andrews, Askey, Roy "Special functions," Koornwinder "Askey-Wilson polynomials for root systems of type BC," pp. 189-204 in Contemp. Math., 138, Amer. Math. Soc. Kirillov "Lectures on affine Hecke algebras and Macdonald's conjectures," Kazhdan and Lusztig, "Representations of Coxeter groups and Hecke algebras." Topic #5 --------- OP-SF NET 11.5 ---------- September 15, 2004 ~~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: New book by Gautschi on Orthogonal Polynomials The following is from web sites linked to http://www.us.oup.com/ Orthogonal Polynomials: Computation and Approximation Walter Gautschi ISBN: 0198506724, hardback, 312 pages Publisher: Oxford University Press Series: Numerical Mathematics and Scientific Computation Description This is the first book on constructive methods for, and applications of orthogonal polynomials, and the first available collection of relevant Matlab codes. The book begins with a concise introduction to the theory of polynomials orthogonal on the real line (or a portion thereof), relative to a positive measure of integration. Topics which are particularly relevant to computation are emphasized. The second chapter develops computational methods for generating the coefficients in the basic three-term recurrence relation. The methods are of two kinds: moment-based methods and discretization methods. The former are provided with a detailed sensitivity analysis. Other topics addressed concern Cauchy integrals of orthogonal polynomials and their computation, a new discussion of modification algorithms, and the generation of Sobolev orthogonal polynomials. The final chapter deals with selected applications: the numerical evaluation of integrals, especially by Gauss-type quadrature methods, polynomial least squares approximation, moment-preserving spline approximation, and the summation of slowly convergent series. Detailed historic and bibliographic notes are appended to each chapter. The book will be of interest not only to mathematicians and numerical analysts, but also to a wide clientele of scientists and engineers who perceive a need for applying orthogonal polynomials. Contents 1. Basic Theory 1.1 Orthogonal polynomials 1.2 Properties of orthogonal polynomials 1.3 Three-term recurrence relation 1.4 Quadrature rules 1.5 Classical orthogonal polynomials 1.6 Kernel polynomials 1.7 Sobolev orthogonal polynomials 1.8 Orthogonal polynomials on the semicircle 1.9 Notes to chapter 1 2. Computational Methods 2.1 Moment-based methods 2.2 Discretization methods 2.3 Computing Cauchy integrals of orthogonal polynomials 2.4 Modification algorithms 2.5 Computing Sobolev orthogonal polynomials 2.6 Notes to chapter 2 3. Applications 3.1 Quadrature 3.2 Least squares approximation 3.3 Moment-preserving spline approximation 3.4 Slowly convergent series 3.5 Notes to chapter 3 Topic #6 --------- OP-SF NET 11.5 ---------- September 15, 2004 ~~~~~~~~~~~~~~ From: A. G. Bogardo Subject: Prizes Awarded at SIAM Annual Meeting Following are the recipients of prizes awarded at the SIAM Annual Meeting held July 2004 in Portland. For further details on these awards, please visit http://www.siam.org/prizes/an04booklet.htm. I. E. Block Community Lecture, intended to encourage public appreciation of the excitement and vitality of applied mathematics: Michael B. Ray ExxonMobil Upstream Research Company Richard C. DiPrima Prize, awarded to a young scientist who has done outstanding research in applied mathematics, based on the doctoral dissertation: Diego Dominici SUNY-New Paltz AWM-SIAM Sonia Kovalevsky Lecture, intended to highlight significant contributions of women to applied or computational mathematics: Joyce R. McLaughlin Rensselaer Polytechnic Institute SIAM Outstanding Paper Prizes, awarded for three outstanding papers published in SIAM journals during the three years prior to the award: Gerard Cornuejols (Carnegie Mellon University) and Bertrand Guenin (University of Waterloo, Canada) Feimin Huang (Academia Sinica, Beijing, China) and Zehn Wang (University of Hong Kong, China) Alfio Quarteroni (Politecnico di Milano, Italy), Alessandro Veneziani (EPFL, Switzerland and Politecnico di Milano), and Paolo Zunino (EPFL, Switzerland) George Polya Prize, awarded for a notable application of combinatorial theory: Neil Robertson The Ohio State University Paul Seymour Princeton University W. T. and Idalia Reid Prize in Mathematics, for outstanding work in, or other contributions to, the broadly defined areas of differential equations and control theory: Arthur J. Krener University of California, Davis SIAM Award in the Mathematical Contest in Modeling (MCM), awarded to two of the teams judged "Outstanding" in the annual MCM: Steven Avery, Eric Harley, Eric Malm (Faculty Advisor: Jon T. Jacobsen) Harvey Mudd College Moorea Brega, Alejandro Cantarero, Corry Lee (Faculty Advisor: Bengt Fornberg) University of Colorado at Boulder SIAM Prize for Distinguished Service to the Profession, awarded to an applied mathematician who has made distinguished contributions to the furtherance of applied mathematics on the national level: Richard A. Tapia Rice University SIAM Student Paper Prizes, awarded to the student authors of the most outstanding papers submitted to the SIAM Student Paper Competition: Silas D. Alben, Courant Institute of Mathematical Sciences, New York University Alfonso Bueno Orovio, University of Castilla-La Mancha Martin Kleinsteuber, University of Wuerzburg Theodore von Karman Prize, awarded for a notable application of mathematics to mechanics and/or the engineering sciences: Roland Glowinski University of Houston The John von Neumann Lecture, awarded to a mathematician (or to a scientist in another field) who has made distinguished contributions to pure and/or applied mathematics: Alan C. Newell University of Arizona Topic #7 --------- OP-SF NET 11.5 ---------- September 15, 2004 ~~~~~~~~~~~~~~ From: Joanna Littleton Subject: James H. Wilkinson Prize - Call for Nominations CALL FOR NOMINATIONS The James H. Wilkinson Prize in Numerical Analysis and Scientific Computing The James H. Wilkinson Prize will be awarded at the 2005 SIAM Annual Meeting to be held July 11-15, 2005, in New Orleans, Louisiana. The prize, established in 1979, is awarded every four years for research in, or other contributions to, numerical analysis and scientific computing during the six years preceding the award. The purpose of the prize is to stimulate younger contributors and to help them in their careers. Description of the Award The award will include a cash prize of $1,000 and a certificate containing the citation. The recipient will be requested to present a lecture as part of the prize ceremony. SIAM will reimburse travel expenses to attend the award ceremony and give the lecture. Nominations A letter of nomination, including a description of the contribution(s), should be sent by December 31, 2004, to: Wilkinson Prize Selection Committee Professor Thomas Y. Hou, Chair c/o J. M. Littleton SIAM 3600 University City Science Center Philadelphia, PA 19104-2688 E-mail: littleton@siam.org Phone: 215-382-9800 Fax: 215-386-7999 Selection Committee Members of the selection committee are: Thomas Y. Hou (Chair), California Institute of Technology; Clint Dawson, University of Texas at Austin; and Howard Elman, University of Maryland at College Park. Topic #8 --------- OP-SF NET 11.5 ---------- September 15, 2004 ~~~~~~~~~~~~~~ From: Joanna Littleton Subject: SIAG/DS Jurgen Moser Lecture - Call for Nominations 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 22-27, 2005. 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, the invitation to give a plenary lecture at the conference, and a cash award of $500. SIAM will reimburse the lecturer's travel expenses to attend the conference. Nominations Nominations should be sent by January 15, 2005, to: Jurgen Moser Lecture Selection Committee Professor Mark Levi, Chair c/o J. M. Littleton SIAM 3600 University City Science Center Philadelphia, PA 19104-2688 E-mail: littleton@siam.org Telephone: 215-382-9800 Fax: 215-386-7999 Selection Committee Members of the selection committee are: Mark Levi (Chair), Pennsylvania State University; G. Bard Ermentrout, University of Pittsburgh; Jerrold E. Marsden, California Institute of Technology; David Ruelle, IHES, France; C. Eugene Wayne, Boston University. Topic #9 --------- OP-SF NET 11.5 ---------- September 15, 2004 ~~~~~~~~~~~~~~ From: Joanna Littleton Subject: SIAG/DS J. D. Crawford Prize - Call for Nominations CALL FOR NOMINATIONS SIAM Activity Group on Dynamical Systems J. D. Crawford Prize The SIAG/DS 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 22-27, 2005. 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. 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. Description of the Award The award will consist of a plaque, a certificate containing the citation, and a cash award of $750. SIAM will reimburse the lecturer's travel expenses to attend the conference. Nominations Nominations should be sent by January 15, 2005, to: J. D. Crawford Prize Selection Committee Dr. Edgar Knobloch, Chair c/o J. M. Littleton SIAM 3600 University City Science Center Philadelphia, PA 19104-2688 E-mail: littleton@siam.org Telephone: 215-382-9800 Fax: 215-386-7999 Selection Committee Members of the selection committee are: Edgar Knobloch (Chair), University of Leeds, UK; Yannis Kevrekidis, Princeton University; Kenneth Showalter, West Virginia University; Andrew Stuart, University of Warwick, UK; and Marcelo Viana, Instituto Nacional de Matematica Pura e Aplicada (IMPA), Brazil. Topic #10 --------- OP-SF NET 11.5 ---------- September 15, 2004 ~~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: Preprints in arXiv.org 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 arXiv.org. 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 http://www.arxiv.org/abs/math.NT/0407001 Title: An Explicit Formula for Restricted Partition Function through Bernoulli Polynomials Authors: Boris Y. Rubinstein Comments: 8 pages, submitted to The Ramanujan Journal Subj-class: Number Theory MSC-class: 11P81 http://www.arxiv.org/abs/math.QA/0407044 Title: Nonsymmetric Macdonald polynomials and matrix coefficients for unramified principal series representations Authors: Bogdan Ion Comments: 24 pg Subj-class: Quantum Algebra; Representation Theory http://www.arxiv.org/abs/math.QA/0407078 Title: The q-binomial formula and the Rogers dilogarithm identity Authors: R. M. Kashaev Comments: 6 pages, no figures Subj-class: Quantum Algebra MSC-class: 33D15 http://www.arxiv.org/abs/math.PR/0407098 Title: Analytic Urns Authors: Philippe Flajolet, Joaquim Gabarró, Helmut Pekari Comments: 30 pages, 7 figures; to appear in Annals of Probability Subj-class: Probability; Combinatorics MSC-class: 60C05; 33E05; 41A60; 60K99; 60Fxx http://www.arxiv.org/abs/math.CO/0407105 Title: Identities for Fibonacci and Lucas polynomials derived from a book of Gould Authors: Mario Catalani Subj-class: Combinatorics MSC-class: 11B39 http://www.arxiv.org/abs/math.NT/0407191 Title: Approximants de Pad\'e des $q$-polylogarithmes Authors: Christian Krattenthaler (Université Lyon-I), Tanguy Rivoal (CNRS, Université de Caen) Comments: 10 pages, AmS-LaTeX Subj-class: Number Theory; Classical Analysis and ODEs MSC-class: Primary 41A21; Secondary 33D15 http://www.arxiv.org/abs/math.CA/0407265 Title: Degenerate Gauss hypergeometric functions Authors: Raimundas Vidunas Comments: 22 pages Subj-class: Classical Analysis and ODEs MSC-class: 33C05 http://www.arxiv.org/abs/math.NT/0407363 Title: New identities involving Bernoulli and Euler polynomials Authors: Hao Pan, Zhi-Wei Sun Comments: 13 pages, more readable version Subj-class: Number Theory; Combinatorics MSC-class: 11B68; 05A19 http://www.arxiv.org/abs/math.QA/0407372 Title: Principle subspace for bosonic vertex operator $\phi_{\sqrt{2m}}(z)$ and Jack polynomials Authors: B.Feigin, E.Feigin Comments: 16 pages Subj-class: Quantum Algebra; Representation Theory MSC-class: 17B69; 81R10 http://www.arxiv.org/abs/math.CA/0407432 Title: The Dirichlet Boundary Value Problem for Real Solutions of the first Painlev\'e Equation on Segments on Non-Positive Semi-Axis Authors: N. Joshi, A. V. Kitaev Comments: To appear in Journal fur die reine und angewandte Mathematik (Crelle's Journal) Subj-class: Classical Analysis and ODEs; Mathematical Physics; Exactly Solvable and Integrable Systems MSC-class: 33E17;34M55;34B15 http://www.arxiv.org/abs/math.CA/0407447 Title: Second order difference equations and discrete orthogonal polynomials of two variables Authors: Yuan Xu Comments: 19 pages Subj-class: Classical Analysis and ODEs MSC-class: 42C05, 33C45 http://www.arxiv.org/abs/hep-th/0407155 Title: Equilibria of `Discrete' Integrable Systems and Deformations of Classical Orthogonal Polynomials Authors: S. Odake, R. Sasaki Comments: 45 pages. A few typos in section 6 are corrected Subj-class: High Energy Physics - Theory; Quantum Algebra http://www.arxiv.org/abs/math-ph/0407033 Title: Bethe Ansatz Equations of XXZ Model and q-Sturm-Liouville Problems Authors: M. E. H. Ismail, S. S. Lin, S. S. Roan Comments: Latex 23 pages Subj-class: Mathematical Physics; Quantum Algebra MSC-class: 33C45, 33D45, 39A13 http://www.arxiv.org/abs/math-ph/0407044 Title: Explicit representations of Pollaczek polynomials corresponding to an exactly solvable discretisation of hydrogen radial Schr\"odinger equation Authors: M. Aunola Comments: 7 pages, no figures, uses iopart.cls Subj-class: Mathematical Physics http://www.arxiv.org/abs/math-ph/0407050 Title: An explicit solution of the (quantum) elliptic Calogero-Sutherland model Authors: Edwin Langmann Comments: 16 pages, Contribution to SPT 2004 in Cala Gonone (Sardinia, Italy) Subj-class: Mathematical Physics; Exactly Solvable and Integrable Systems MSC-class: 35Q58, 81Q05 http://www.arxiv.org/abs/math-ph/0407065 Title: Averages of Characteristic Polynomials in Random Matrix Theory Authors: A. Borodin, E. Strahov Subj-class: Mathematical Physics; Classical Analysis and ODEs http://www.arxiv.org/abs/math.CA/0408019 Title: On polynomials orthogonal to all powers of a given polynomial on a segment Authors: Fedor Pakovich Comments: 27 pages, 9 figures Subj-class: Classical Analysis and ODEs; Complex Variables http://www.arxiv.org/abs/math.NT/0408022 Title: The moments of the Riemann zeta-function. Part I: The fourth moment off the critical line Authors: Aleksandar Ivi\'c, Yoichi Motohashi Comments: 50 pages Subj-class: Number Theory MSC-class: 11M06; 11F72, 11F66 http://www.arxiv.org/abs/math.NT/0408223 Title: New identities involving Bernoulli and Euler polynomials. II Authors: Zhi-Wei Sun, Hao Pan Comments: 10 pages; (3) has a new form, Lemma 2 is added Subj-class: Number Theory; Combinatorics MSC-class: 11B68; 05A19 http://www.arxiv.org/abs/math.CA/0408269 Title: Algebraic transformations of Gauss hypergeometric functions Authors: Raimundas Vidunas Comments: 24 pages; 3 tables Subj-class: Classical Analysis and ODEs MSC-class: 33C05; 34A30 http://www.arxiv.org/abs/math.CA/0408317 Title: The 192 Solutions of the Heun Equation Authors: Robert S. Maier Comments: 31 pages, no figures Subj-class: Classical Analysis and ODEs MSC-class: 33E30; 33-04, 34M15, 33C05, 20F55 http://www.arxiv.org/abs/math.CA/0408366 Title: A multiparameter summation formula for theta functions Authors: V.P. Spiridonov Comments: 8 pages; to appear in Proc. of the Workshop on Jack, Hall-Littlewood and Macdonald polynomials (Edinburgh, September 2003) Subj-class: Classical Analysis and ODEs; Algebraic Geometry MSC-class: 33E20; 14H42 http://www.arxiv.org/abs/math.CA/0408369 Title: Short proofs of the elliptic beta integrals Authors: V.P. Spiridonov Comments: 15 pages Subj-class: Classical Analysis and ODEs MSC-class: 33Dxx, 33E20, 39A13 http://www.arxiv.org/abs/math.QA/0408390 Title: Two linear transformations each tridiagonal with respect to an eigenbasis of the other; an algebraic approach to the Askey scheme of orthogonal polynomials Authors: Paul Terwilliger Comments: 74 pages. Lecture notes for the summer school on orthogonal polynomials and special functions, Universidad Carlos III de Madrid, Leganes, Spain. July 8--July 18, 2004. For more information see http://www.uc3m.es/uc3m/dpto/MATEM/summerschool/indice.html Subj-class: Quantum Algebra; Mathematical Physics MSC-class: 17B37 http://www.arxiv.org/abs/math-ph/0408015 Title: A hyper-geometric approach to the BMV-conjecture Authors: Michael Drmota, Walter Schachermayer, Josef Teichmann Subj-class: Mathematical Physics; General Mathematics http://www.arxiv.org/abs/math-ph/0408036 Title: Convergence acceleration of series through a variational approach Authors: Paolo Amore (Universidad de Colima) Comments: 14 pages, 8 figures Subj-class: Mathematical Physics http://www.arxiv.org/abs/math-ph/0408046 Title: Canonical representation of spherical functions: Sylvester's theorem, Maxwell's multipoles and Majorana's sphere Authors: M. R. Dennis Comments: 16 pages, no figs Subj-class: Mathematical Physics http://www.arxiv.org/abs/nlin.SI/0408009 Title: Open circular billiards and the Riemann hypothesis Authors: L. A. Bunimovich (Georgia Tech), C. P. Dettmann (University of Bristol) Comments: 5 pages, 4 embedded postscript figures Subj-class: Exactly Solvable and Integrable Systems; Mathematical Physics; Number Theory http://www.arxiv.org/abs/nlin.SI/0408060 Title: Toda equation and special polynomials associated with the Garnier system Authors: Teruhisa Tsuda Comments: 26 pages Subj-class: Exactly Solvable and Integrable Systems Topic #11 --------- OP-SF NET 11.5 ---------- September 15, 2004 ~~~~~~~~~~~~~~ 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://staff.science.uva.nl/~thk/opsfnet http://www.math.ohio-state.edu/JAT/DATA/OPSFNET/opsfnet.html http://math.nist.gov/opsfnet/archive For several years the Activity Group sponsored a printed Newsletter, most recently edited by Rafael Yanez. Back issues are accessible at: http://www.mathematik.uni-kassel.de/~koepf/siam.html Given the widespread availability of email and the Internet, the need for the printed Newsletter has decreased. Discussions are underway concerning whether an annual printed Newsletter or Annual Report should be instituted. SIAM has several categories of membership, including low-cost categories for students and residents of developing countries. For current information on SIAM and Activity Group membership, contact: Society for Industrial and Applied Mathematics 3600 University City Science Center Philadelphia, PA 19104-2688 USA phone: +1-215-382-9800 email: service@siam.org WWW : http://www.siam.org http://www.siam.org/membership/outreachmem.htm Finally, the Activity Group operates an email discussion group, called OP-SF Talk. To subscribe, send the email message subscribe opsftalk Your Name to listproc@nist.gov. To contribute an item to the discussion, send email to opsftalk@nist.gov. The archive of all messages is accessible at: http://math.nist.gov/opsftalk/archive Topic #12 --------- OP-SF NET 11.5 ---------- September 15, 2004 ~~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: Submitting contributions to OP-SF NET To contribute a news item to OP-SF NET, send email to poly@siam.org with a copy to the OP-SF Editor . Contributions to OP-SF NET 11.6 should be sent by November 1, 2004. 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 Back issues can be obtained at the WWW addresses: http://staff.science.uva.nl/~thk/opsfnet http://www.math.ohio-state.edu/JAT/DATA/OPSFNET/opsfnet.html http://math.nist.gov/opsfnet/archive 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: Rafael J. Yanez, Newsletter Editor Martin Muldoon, OP-SF NET editor Bonita Saunders, Webmaster o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o