o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o January 15, 2005 O P - S F N E T Volume 12, Number 1 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 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. New Officers 2. Message from the Chair 3. Varna Conference on Constructive Theory of Functions 4. International Mediterranean Congress of Mathematics 5. Fejér-Riesz Conference, Eger, Hungary 6. Updates on Munich Symposium 7. Death of Johannes (Joop) Boersma 8. Death of John T. Lewis 9. Book on Painleve Equations 10. Ralph E. Kleinman Prize - Call for Nominations 11. SIAM Student Paper Prize - Call for Submissions 12. Preprints in arXiv.org 13. About the Activity Group 14. Submitting contributions to OP-SF NET Calendar of Events: 2005 June 1-7: Constructive Theory of Functions - 2005, Varna, Bulgaria http://www.math.bas.bg/CTF-2005/ 12.1 #3 June 6-10: International Mediterranean Congress of Mathematics, Almeria, Spain, including thematic session on Approximation, Special Functions and Numerical Analysis http://www.ual.es/congresos/CIMMA2005/ 12.1 #4 June 8-14: Fejér-Riesz conference, Eger, Hungary http://www.math.u-szeged.hu/confer/fejerriesz/ 12.1 #5 June 13-17: Computational Methods and Function Theory, Joenssu, Finland http://www.joensuu.fi/cmft June 20-26: Sixth International Conference SYMMETRY IN NONLINEAR MATHEMATICAL PHYSICS, Kyiv (Kiev), Ukraine 11.6 #5 http://www.imath.kiev.ua/~appmath/conf.html June 30 - July 2: Workshop on Special Functions and Orthogonal Polynomials, during "Foundations of Computational Mathematics", Santander, Spain 11.6 #2 http://www.damtp.cam.ac.uk/user/na/FoCM/FoCM05/ July 4-6: Special Functions: Asymptotic Analysis and Computation, a Conference in honor of Nico Temme's 65th Birthday, Santander, Spain 11.5 #2 Sponsored by the SIAM OPSF Activity Group 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 11.6 #3 12.1 #6 http://www-m6.ma.tum.de/~ruffing/Conference2005/ July 25-30: ISAAC Congress 2005, Catania, Italy (International Society for Analysis, its Applications and Computation) http://mathisaac.org/ August 1-5: Conference on Differential & Difference Equations and Applications, Melbourne, Florida, USA http://my.fit.edu/~agarwal/ October 8-9: American Mathematical Society Eastern Section Meeting including Special Session on Special Functions and Orthogonal Polynomials: Theory and Applications, Bard College, Annandale-on-Hudson, New York, USA http://www.ams.org/amsmtgs/2120_program.html 2006 August 22-30 International Congress of Mathematicians, Madrid, Spain http://www.icm2006.org/ Topic #1 --------- OP-SF NET 12.1 ----------- January 15, 2005 ~~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: New Officers As a result of the recent elections, the following are the Officers of the SIAM Activity Group on Orthogonal Polynomials and Special Functions for the three-year term January 1, 2005 to December 31, 2007. Chair: PETER ALAN CLARKSON Professor, Department of Mathematics, University of Kent, United Kingdom Vice Chair: DANIEL W. LOZIER Mathematician, Mathematical and Computational Sciences Division, National Institute of Standards and Technology, Gaithersburg, MD Secretary: JAVIER SEGURA Associate Professor, Department of Mathematics, University de Cantabria, Spain Program Director: PETER A. McCOY Professor, Department of Mathematics, United States Naval Academy, Annapolis, MD Topic #2 --------- OP-SF NET 12.1 ----------- January 15, 2005 ~~~~~~~~~~~~~~ From: Peter A. Clarkson Subject: Message from the Chair Welcome to to the first Electronic News Net of the SIAM Activity Group on Orthogonal Polynomials and Special Functions of 2005. This is an exciting period for our activity group with the forthcoming publication of the Digital Library of Mathematical Functions (DLMF). I feel that this is an opportunity for the activity group to get a higher profile within the Mathematics community. Special functions and orthogonal polynomials have a long and distinguished history which has impacted upon many areas of Mathematics and its applications, notably the classic text by Whittaker and Watson and the Bateman Project. There are many links between the interests of our activity group and other areas of Mathematics as well as applications to Physics and Engineering. I feel that during the next few years these need to be further developed and the publication of the DLMF provides an ideal opportunity. Currently there are links being developed with researchers in other areas of Mathematics. An illustration of the forthcoming joint conference to be held in Munich, Germany in July 2005 consisting of "Orthogonal Polynomials, Special Functions and Applications", "Conference on Difference Equations and Applications" and "Symmetries and Integrability of Difference Equations", all of whom are groups which hold regular conferences. I am particularly looking forward to this meeting having attended recent meetings in the "Orthogonal Polynomials, Special Functions and Applications" and "Symmetries and Integrability of Difference Equations" series. I look forward to meeting members of the Activity group at various conferences during my term as Chair of the group. Topic #3 --------- OP-SF NET 12.1 ----------- January 15, 2005 ~~~~~~~~~~~~~~ From: Walter Van Assche Subject: Varna Conference on Constructive Theory of Functions CONSTRUCTIVE THEORY OF FUNCTIONS - 2005, VARNA (BULGARIA), June 1-7, 2005 The series of Varna conferences on Constructive theory of functions held in 1970, 1977, 1981, 1984, 1987, 1991, and 2002 will continue. The conference Constructive Theory of Functions 2005 will take place in Varna, Bulgaria, June 1-7, 2005. The scientific program of the conference includes: 6 plenary lectures, regular talks and an open problems session. Invited plenary speakers: 1. Carl de Boor (University of Wisconsin, USA) 2. Boris S. Kashin (Steklov Mathematical Institute, Moscow) 3. Sergei V. Konyagin (Moscow State University, Moscow) 4. Arno Kuijlaars (KU Leuven, Belgium) 5. Geno Nikolov (Sofia University, Sofia) 6. Vilmos Totik (University of Szeged / University of South Florida) Special guest of the organizers: Per Enflo (Kent State University, USA) For more information, see the web site: http://www.math.bas.bg/CTF-2005/ Topic #4 --------- OP-SF NET 12.1 ----------- January 15, 2005 ~~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: International Mediterranean Congress of Mathematics From the web site: http://www.ual.es/congresos/CIMMA2005/ During the period June 6-10 2005, the "International Mediterranean Congress of Mathematics" will be held in Almeria, Spain. One of the nine thematic sessions will be APPROXIMATION, SPECIAL FUNCTIONS AND NUMERICAL ANALYSIS Topics: Approximations and expansions, special functions, orthogonal polynomials, numerical analysis, applications. Organizers: Andrei Martínez Finkelshtein (coordinator) Bernhard Beckermann (U. Lille I, France) Juan José Moreno Balcázar Pedro López Artés Main speakers: Guillermo López Lagomasino (U. Carlos III, Madrid, Spain) Stefano Serra Capizzano (U. Insubria, Como, Italy) Galliano Valent (U. Marseille, France) Topic #5 --------- OP-SF NET 12.1 ----------- January 15, 2005 ~~~~~~~~~~~~~~ From: Walter Van Assche Subject: Fejér-Riesz Conference, Eger, Hungary The János Bolyai Mathematical Society, in cooperation with the Eszterházy Károly College of Eger (Institute of Mathematics and Informatics) is organizing a conference to commemorate the 125th anniversary of the birth of two outstanding Hungarian mathematicians: Lipót Fejér and Frigyes Riesz. The scientific activity of this conference will be centered on the main areas of their fields: classical, harmonic and functional analysis. The conference will be in Eger from June 8 (arrival date) till June 14 (departure date) in 2005. Plenary speakers: Ákos Császár (Eötvös Loránd University, Hungary) János Horváth (University of Maryland, USA) Jean-Pierre Kahane (Université de Paris-Sud, France) Allan Pinkus (Technion, Israel) Barry Simon (California Institute of Technology, USA) Other Invited Speakers: Francesco Altomare (Universitŕ di Bari, Italy) Joseph A. Ball (Virginia Tech, USA) Marek Bozejko (University of Wroclaw, Poland) Ronald G. Douglas (Texas A&M University, USA) Carl de Boor (University of Wisconsin, USA) Fumio Hiai (Tohoku University, Japan) Zeev Ditzian (University of Alberta, Canada) Eric A. Carlen (Georgia Tech, USA) Tamás Erdelyi (Texas A&M University, USA) Heinz Langer (Vienna University of Technology, Austria) Arno B. J. Kuijlaars (Katholieke Universiteit Leuven, Belgium) Paul Müller (University of Linz, Austria) Jaroslav Kurzweil (Czech Academy of Sciences, Czech Republic) Nikolai K. Nikolski (University of Bordeaux I, France) Dany Leviatan (Tel Aviv University, Israel) Aleksander Pelczynski (Polish Academy of Sciences) Giuseppe Mastroianni (Universitŕ degli Studi della Basilicata, Italy) Vladimir Müller (Czech Academy of Sciences, Czech Republic) Richard S. Varga (Kent State University, USA) Vladimir Peller (Michigan State University, USA) Walter Van Assche (Katholieke Universiteit Leuven, Belgium) Laszlo Zsido (University of Rome II, Rome, Italy) For further information, see the web site: http://www.math.u-szeged.hu/confer/fejerriesz/ Topic #6 --------- OP-SF NET 12.1 ----------- January 15, 2005 ~~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: Updates on Munich Symposium The web page http://www-m6.ma.tum.de/~ruffing/Conference2005/ for OPSFA8/ICDEA10 - the Eighth International Symposium on Orthogonal Polynomials, Special Functions and Applications and Tenth International Conference on Difference Equations and Applications, to be held in Munich, Germany July 25-29 has been updated to include several new items of information including the list of invited speakers: * Yurij Berezansky (Ukraine) (to be confirmed) * Martin Bohner (U.S.A.) * Alexei Borodin (U.S.A.) (to be confirmed) * Carlos Castillo-Chavez (U.S.A.) (to be confirmed) * Robert Devaney (U.S.A.) * Saber Elaydi (U.S.A.) * Norrie Everitt (U.K.) * Jeff Geronimo (U.S.A.) * Jean-Michel Grandmont (France) * Walter Hayman (U.K.) * Mourad Ismail (U.S.A.) * Wolfram Koepf (Germany) * Igor Krichever (U.S.A.) * Francisco Marcellan (Spain) * Eric Rains (U.S.A.) (to be confirmed) * Paolo Ricci (Italy) * Ed Saff (U.S.A.) (to be confirmed) * Barry Simon (U.S.A.) * Alexandr Sharkovsky (Ukraine) * Herbert Stahl (Germany) * Sergei Suslov (U.S.A.) * Donato Trigiante (Italy) * Galliano Valent (France) * Walter van Assche (Belgium) * Erik van Doorn (The Netherlands) * Alexei Zhedanov (Ukraine) Topic #7 --------- OP-SF NET 12.1 ----------- January 15, 2005 ~~~~~~~~~~~~~~ From: Tom Koornwinder Subject: Death of Johannes (Joop) Boersma Joop Boersma, Professor Emeritus at the Technical University, Eindhoven, The Netherlands, died on November 29, 2004. He was born on December 5, 1937. He studied mathematics at the University of Groningen, and obtained his PhD there in 1964 (cum laude) with a thesis "Boundary value problems in diffraction theory and lifting surface theory", supervised by Professor A.I. van de Vooren). After a stay at the Courant Institute in 1965, he started work at the TU Eindhoven in 1966, first as a lecturer, but already in 1967 as a full professor. He officially retired in 1998, but remained active in mathematics and was in his office almost every working day. Joop Boersma worked in applied analysis (mechanics, optics, fluid mechanics), where he used special functions (in particular Bessel functions and confluent hypergeometric functions) and asymptotics as important tools. His expertise, precision and willingness to answer questions were much appreciated by students, and by colleagues in Eindhoven, the Netherlands, and throughout the world. Topic #8 --------- OP-SF NET 12.1 ----------- January 15, 2005 ~~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: Death of John T. Lewis John T. Lewis, formerly of the Dublin Institute for Advanced Studies, known for his work in quantum mechanics, statistical mechanics, applied probability and applications to telecommunications, died early last year. John was a user of special functions with a rare insight into some deeper aspects of their structure as I discovered in some work with him using the Hellmann-Feynman theorem in the 1970s. This led to later work on monotonicity of zeros by M. Ismail and R. Zhang, and by E. K. Ifantis, among others. But Lewis had many other scientific and personal qualities, well captured by the anonymous author of the obituary in: http://www.stp.dias.ie/people/Lewis/obituary Topic #9 --------- OP-SF NET 12.1 ----------- January 15, 2005 ~~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: Book on Painleve Equations The following information is taken from the web site of the American Mathematical Society Bookstore: Painlevé Equations through Symmetry Masatoshi Noumi, Kobe University, Japan "The Painlevé equations themselves are really a wonder. They still continue to give us fresh mysteries ... One reason that I wrote this book is to tell you how impressed I am by the mysteries of the Painlevé equations." --from the Preface The six Painlevé equations (nonlinear ordinary differential equations of the second order with nonmovable singularities) have attracted the attention of mathematicians for more than 100 years. These equations and their solutions, the Painlevé transcendents, nowadays play an important role in many areas of mathematics, such as the theory of special functions, the theory of integrable systems, differential geometry, and mathematical aspects of quantum field theory. The present book is devoted to the symmetry of Painlevé equations (especially those of types II and IV). The author studies families of transformations for several types of Painlevé equations--the so-called Bäcklund transformations--which transform solutions of a given Painlevé equation to solutions of the same equation with a different set of parameters. It turns out that these symmetries can be interpreted in terms of root systems associated to affine Weyl groups. The author describes the remarkable combinatorial structures of these symmetries, and shows how they are related to the theory of $\tau$-functions associated to integrable systems. Prerequisites include undergraduate calculus and linear algebra with some knowledge of group theory. The book is suitable for graduate students and research mathematicians interested in special functions and the theory of integrable systems. Contents * What is a Bäcklund transformation? * The symmetric form * $\tau$-functions * $\tau$-functions on the lattice * Jacobi-Trudi formula * Getting familiar with determinants * Gauss decomposition and birational transformations * Lax formalism * Appendix * Bibliography * Index Details: * Publisher: American Mathematical Society * Distributor: American Mathematical Society * Series: Translations of Mathematical Monographs, ISSN: 0065-9282 * Volume: 223 * Publication Year: 2004 * ISBN: 0-8218-3221-2 * Paging: 156 pp. * Binding: Hardcover * List Price: $69 * Institutional Member Price: $55 * Individual Member Price: $55 * Order Code: MMONO/223 The full Preface may be viewed at http://www.ams.org/bookstore/pspdf/mmono-223.pdf Topic #10 --------- OP-SF NET 12.1 ----------- January 15, 2005 ~~~~~~~~~~~~~~ From: Joanna Littleton Subject: Ralph E. Kleinman Prize - Call for Nominations CALL FOR NOMINATIONS The Ralph E. Kleinman Prize SIAM will present the Ralph E. Kleinman Prize at the 2005 SIAM Annual Meeting to be held July 11-15, 2005, in New Orleans, Louisiana. The prize is awarded to an individual for outstanding research or other contributions that bridge the gap between mathematics and applications. Work that uses high-level mathematics and/or invents new mathematical tools to solve applied problems from engineering, science, and technology is particularly appropriate. The prize may be awarded for a single notable achievement or for a collection of such achievements. Description of the Award The award will consist of a hand-calligraphed, framed certificate and a cash award of $5,000. SIAM will reimburse reasonable travel expenses for the recipient to attend the award ceremony. Nominations A letter of nomination, including a curriculum vitae and description of the achievement(s), should be sent to the address below. You are encouraged to send electronic files via e-mail. Supporting letters are welcome. Nominations must be received in the SIAM office by February 15, 2005. Ralph E. Kleinman Prize Selection Committee Professor William W. Symes, 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: William W. Symes (chair), Rice University; Martin Groetschel, ZIB; Max Gunzburger, Florida State University; Gregory A. Kriegsmann, New Jersey Institute of Technology; Paul Van Dooren, Universite Catholique de Louvain. Topic #11 --------- OP-SF NET 12.1 ----------- January 15, 2005 ~~~~~~~~~~~~~~ From: Joanna Littleton Subject: SIAM Student Paper Prize - Call for Submissions DEADLINE APPROACHING - CALL FOR SUBMISSIONS SIAM Student Paper Prize The 2005 SIAM STUDENT PAPER PRIZE will be presented at the 2005 SIAM Annual Meeting scheduled for July 11-15, 2005, in New Orleans, Louisiana. Principal Guidelines The SIAM Student Paper Prize is awarded every year to the student author(s) of the most outstanding paper(s) submitted to the SIAM Student Paper Competition. This award is based solely on the merit and content of the student's contribution to the submitted paper. Up to three papers will be selected for the prizes. The purpose of the Student Paper Prize is to recognize outstanding scholarship by students in applied mathematics and scientific computing. Selection Procedures Eligibility is restricted to students in good standing who have not received their Ph.D. prior to March 1 of the year in which the award is given. Submissions may be based on co-authored papers, provided that the student's advisor will attest that the student's work played a pivotal role in the results. A letter from the student's advisor or department chair must accompany each entry to verify these conditions. To enter the competition, a student must submit: (1) an extended abstract, in English, of a paper, and (2) a short biography. The total length of the submitted abstract (including bibliography) may not exceed five pages. The student also must submit (3) the complete paper, which will be used for clarification of any questions the committee may have about the extended abstract. In addition, the student's advisor or an interested faculty member must submit (4) a letter describing and evaluating the paper's contribution to the literature and the student's role in the scholarship. Deadline for Submissions All papers and accompanying documentation must be received at the SIAM office by February 1, 2005. Notification of Prize Winner(s) The SIAM President will notify the recipient(s) at least six weeks before the award date. Each recipient is required to present his or her paper at the meeting where the prize(s) are awarded. If attending the meeting poses a serious hardship, an exception may be granted by the SIAM President. Description of the Award Each recipient of the SIAM Student Paper Prize shall receive a framed certificate and a cash award of $1,000. Winners also receive $500 toward travel expenses and gratis registration for the meeting. Please direct your submission to: Student Paper Prize Selection Committee Professor William L. Briggs, Chair c/o J. M. Littleton SIAM 3600 University City Science Center Philadelphia, PA 19104-2688 USA Please address any questions to: J. M. Littleton Telephone: (215) 382-9800 ext. 303 E-mail: littleton@siam.org Selection Committee The members of the selection committee are: Vincent J. Ervin, Clemson University; Juergen Gerlach, Radford University; and S. I. Hariharan, University of Akron. Topic #12 --------- OP-SF NET 12.1 ----------- January 15, 2005 ~~~~~~~~~~~~~~ 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/0411040 Title: The Mellin transform of the square of Riemann's zeta-function Authors: Aleksandar Ivi\'c Comments: 9 pages Subj-class: Number Theory MSC-class: 11M06 http://www.arxiv.org/abs/math.CA/0411044 Title: Inversions of integral operators and elliptic beta integrals on root systems Authors: Vyacheslav P. Spiridonov, S. Ole Warnaar Comments: 36 pages Subj-class: Classical Analysis and ODEs MSC-class: 33D60; 3367; 33E05 http://www.arxiv.org/abs/math.CO/0411072 Title: A combinatorial proof of the Rogers-Ramanujan and Schur identities Authors: Cilanne Boulet (MIT), Igor Pak (MIT) Subj-class: Combinatorics http://www.arxiv.org/abs/math.NT/0411087 Title: Recurrence relations for the Lerch Phi function and applications Authors: Marco Dalai Comments: 11 pages. To appear in ZAA Subj-class: Number Theory; Complex Variables MSC-class: 11M35 (Primary), 11B68, 11M06 (Secondary) http://www.arxiv.org/abs/math.CA/0411136 Title: Summation formulae for noncommutative hypergeometric series Authors: Michael Schlosser Comments: 35 pages Subj-class: Classical Analysis and ODEs; Quantum Algebra MSC-class: 33C20, 33C99, 33D15, 33D99 http://www.arxiv.org/abs/math.QA/0411147 Title: Etingof Trace, Path Hypergeometric Functions and Integrable Systems Authors: Xiaoping Xu Comments: 54 pages; Replacing previous wrong file Subj-class: Quantum Algebra MSC-class: 17B80, 33D67, 35Q58 http://www.arxiv.org/abs/math.CA/0411249 Title: Duality of q-polynomials, orthogonal on countable sets of points Authors: N. M. Atakishiyev, A. U. Klimyk Comments: 71 pages Subj-class: Classical Analysis and ODEs MSC-class: 33D80; 33D45; 17B37 http://www.arxiv.org/abs/math.NT/0411267 Title: On a multiple harmonic power series Authors: Michel Emery (IRMA) Subj-class: Number Theory MSC-class: MSC: 11M35, 33E20, 40A25, 40B05 Abstract: "The formulas discussed in the previous version are not new." http://www.arxiv.org/abs/math.QA/0411274 Title: On the Sum Formula for Multiple q-Zeta Values Authors: David M. Bradley Comments: 9 pages, submitted for publication September 30, 2004 Subj-class: Quantum Algebra; Number Theory MSC-class: 11M41; 11M06, 05A30, 30B50 http://www.arxiv.org/abs/math.AG/0411362 Title: On the geometry of the Calogero-Moser system Authors: Wim Couwenberg, Gert Heckman, Eduard Looijenga Comments: 16 pages Subj-class: Algebraic Geometry; Complex Variables MSC-class: 33C67, 32N10, 14J27 http://www.arxiv.org/abs/math.SP/0411388 Title: Aizenman's Theorem for Orthogonal Polynomials on the Unit Circle Authors: Barry Simon Comments: Keywords: OPUC, random Verblunsky coefficients, localization Subj-class: Spectral Theory MSC-class: 26C05, 82B44, 47N20 http://www.arxiv.org/abs/math.SP/0411391 Title: Fine Structure of the Zeros of Orthogonal Polynomials, I. A Tale of Two Pictures Authors: Barry Simon Comments: Keywords: orthogonal polynomials, Jacobi matrices, CMV matrices Subj-class: Spectral Theory MSC-class: Primary 4C05 ; Secondary 47B36, 42C05 http://www.arxiv.org/abs/math.SP/0411392 Title: Fine Structure of the Zeros of Orthogonal Polynomials, II. OPUC With Competing Exponential Decay Authors: Barry Simon Comments: Keywords: orthogonal polynomials, Jacobi matrices, CMV matrices Subj-class: Spectral Theory MSC-class: Primary 4C05; Secondary 47B36, 42C05 http://www.arxiv.org/abs/math.CA/0411476 Title: Symmetries of the m-hypergeometric system Authors: Oleg Gleizer Subj-class: Classical Analysis and ODEs; Mathematical Physics MSC-class: 33C20 http://www.arxiv.org/abs/math.CA/0411550 Title: Integral representation of some functions related to the Gamma function Authors: Christian Berg (University of Copenhagen) Subj-class: Classical Analysis and ODEs; Complex Variables MSC-class: 33B15; 26A48 http://www.arxiv.org/abs/hep-th/0411044 Title: Jack superpolynomials: physical and combinatorial definitions Authors: Patrick Desrosiers, Luc Lapointe, Pierre Mathieu Comments: 6 pages. To appear in the proceedings of the {\it XIII International Colloquium on Integrable Systems and Quantum Groups}, Czech. J . Phys., June 17-19 2004, Doppler Institute, Czech Technical University Subj-class: High Energy Physics - Theory; Combinatorics; Mathematical Physics http://www.arxiv.org/abs/math-ph/0411054 Title: A relativistic model of the isotropic three-dimensional singular oscillator Authors: S.M. Nagiyev, E.I. Jafarov, R.M. Imanov, L. Homorodean Comments: 11 pages, 6 figures, accepted for publication in Physics Letters A Subj-class: Mathematical Physics MSC-class: 33C45; 33C90; 39A70 http://www.arxiv.org/abs/math-ph/0411076 Title: Square ice, alternating sign matrices and classical orthogonal polynomials Authors: F. Colomo, A. G. Pronko Comments: v2: typos and some formulae in Sects. 5.1 and 5.2 corrected; referencing improved Subj-class: Mathematical Physics; Statistical Mechanics; Combinatorics http://www.arxiv.org/abs/math-ph/0411079 Title: Some results on the eigenfunctions of the quantum trigonometric Calogero-Sutherland model related to the Lie algebra E6 Authors: J. Fernandez Nunez, W. Garcia Fuertes, A. M. Perelomov Comments: 17 pages, no figures Subj-class: Mathematical Physics; Exactly Solvable and Integrable Systems; Representation Theory http://www.arxiv.org/abs/nlin.SI/0411003 Title: Point configurations, Cremona transformations and the elliptic difference Painlev\'e equation Authors: K.Kajiwara, T.Masuda, M.Noumi, Y.Ohta, Y.Yamada Comments: 29 pages Subj-class: Exactly Solvable and Integrable Systems; Algebraic Geometry http://www.arxiv.org/abs/hep-th/0411094 Title: Eight-vertex model and non-stationary Lame equation Authors: Vladimir V. Bazhanov, Vladimir V. Mangazeev Comments: 11 pages, LaTeX, minor misprints corrected, references added Subj-class: High Energy Physics - Theory; Mathematical Physics; Exactly Solvable and Integrable Systems http://www.arxiv.org/abs/math.CO/0412015 Title: A note on two identities arising from enumeration of convex polyominoes Authors: Victor J. W. Guo, Jiang Zeng Comments: 10 pages, to appear in J. Comput. Appl. Math; minor grammatical changes Subj-class: Combinatorics MSC-class: 05A15; 05A19 http://www.arxiv.org/abs/math.CA/0412038 Title: An elliptic generalization of Schur's Pfaffian identity Authors: Soichi Okada Comments: 7 pages Subj-class: Classical Analysis and ODEs; Combinatorics MSC-class: 33E05 (primary), 05E05, 15A15 (secondary) http://www.arxiv.org/abs/math.NT/0412065 Title: Hessian polyhedra, invariant theory and Appell hypergeometric partial differential equations Authors: Lei Yang Comments: 114 pages Subj-class: Number Theory; Algebraic Geometry MSC-class: 11F22, 11F23, 11F55, 11G15, 11G30, 20F55, 33C65, 52Bxx http://www.arxiv.org/abs/math.NT/0412067 Title: q-Analogues of the Barnes multiple zeta functions Authors: Yoshinori Yamasaki Comments: 10 pages Subj-class: Number Theory MSC-class: 11M41, 11M35 http://www.arxiv.org/abs/math.CA/0412080 Title: Noncommutative extensions of Ramanujan's 1-psi-1 summation Authors: Michael Schlosser Comments: 9 pages, prepared with LaTeX using SIAM's siamltex style file, submitted to Proceedings of IWOP'04, special volume of ETNA (Electronic Transactions on Numerical Analysis) Subj-class: Classical Analysis and ODEs; Quantum Algebra MSC-class: 33D15, 33D99 http://www.arxiv.org/abs/math.GM/0412087 Title: A New Integral Transform Authors: B.G.Sidharth Comments: 4 pages tex Subj-class: General Mathematics http://www.arxiv.org/abs/math.CO/0412153 Title: Well--Poised Macdonald Functions W_lambda and Jackson Coefficients omega_lambda On BC_n Authors: Hasan Coskun, Robert A. Gustafson Comments: 29 pages Subj-class: Combinatorics; Quantum Algebra MSC-class: 33D67; 05E05 http://www.arxiv.org/abs/math.SP/0412336 Title: Fine structure of the zeros of orthogonal polynomials, III. Periodic recursion coefficients Authors: Barry Simon Subj-class: Spectral Theory MSC-class: Primary 26C10; Secondary 48J53, 35Q58 http://www.arxiv.org/abs/math.CO/0412339 Title: A Proof of the Zeilberger-Bressoud $q$-Dyson Theorem Authors: Ira M. Gessel, Guoce Xin Comments: 10 pages Subj-class: Combinatorics; Commutative Algebra MSC-class: 33D05; 05A30; 33D20 http://www.arxiv.org/abs/math.CA/0412340 Title: On powers of Stieltjes moment sequences, II Authors: Christian Berg (University of Copenhagen) Comments: preprint, 21 pages Subj-class: Classical Analysis and ODEs; Complex Variables MSC-class: 44A60;33D65 http://www.arxiv.org/abs/math.CA/0412394 Title: Bi-orthogonal Polynomials on the Unit Circle, regular semi-classical Weights and Integrable Systems Authors: P.J. Forrester, N.S. Witte Comments: This extends and supersedes math-ph/0308036 Subj-class: Classical Analysis and ODEs; Mathematical Physics MSC-class: 05E35; 39A05; 37F10; 33C45; 34M55 http://www.arxiv.org/abs/math.FA/0412528 Title: Orthogonal polynomials in several non-commuting variables. II Authors: T. Banks, T. Constantinescu Comments: 10 pages, 1figure Subj-class: Functional Analysis; Combinatorics http://www.arxiv.org/abs/math.CA/0412532 Title: Asymptotics of multivariate orthogonal polynomials with hyperoctahedral symmetry Authors: J.F. van Diejen Comments: 13 pages, LaTeX Subj-class: Classical Analysis and ODEs; Mathematical Physics MSC-class: 33D52; 41A60 http://www.arxiv.org/abs/math.QA/0412540 Title: A q-analog of the Racah polynomials and the q-algebra SUq(2) Authors: R. Alvarez-Nodarse, Yu. F. Smirnov, R. S. Costas-Santos Comments: 23 pages. LaTeX2e Subj-class: Quantum Algebra MSC-class: 33D80, 33D45 http://www.arxiv.org/abs/math-ph/0412025 Title: The Statistical Distribution of the Zeros of Random Paraorthogonal Polynomials on the Unit Circle Authors: Mihai Stoiciu Comments: 39 pages, 2 figures Subj-class: Mathematical Physics MSC-class: 42C05; 82B44 http://www.arxiv.org/abs/math-ph/0412035 Title: Exact and quasi-exact solvability of two-dimensional superintegrable quantum systems. I. Euclidean space Authors: E. G. Kalnins, W. Miller Jr., G. S. Pogosyan Comments: 36 pages Subj-class: Mathematical Physics MSC-class: 35Q40; 81Q05; 81R12 http://www.arxiv.org/abs/math-ph/0412039 Title: Lectures on Elliptic Functions and Modular Forms in Conformal Field Theory Authors: Nikolay M. Nikolov, Ivan T. Todorov Comments: 87 pages, LaTex Subj-class: Mathematical Physics http://www.arxiv.org/abs/math-ph/0412047 Title: Lax pairs for the Ablowitz-Ladik system via orthogonal polynomials on the unit circle Authors: Irina Nenciu Comments: 38 pages Subj-class: Mathematical Physics; Classical Analysis and ODEs; Exactly Solvable and Integrable Systems http://www.arxiv.org/abs/math-ph/0412065 Title: Discrete Painlev\'e equations for a class of \PVI $\tau$-functions given as U(N) averages Authors: P.J. Forrester, N.S. Witte Comments: Companion work to CA/0412394 Subj-class: Mathematical Physics; Classical Analysis and ODEs MSC-class: 33C45; 33E17; 15A52; 82B23 http://www.arxiv.org/abs/math-ph/0412083 Title: A class of identities relating Whittaker and Bessel functions Authors: James Lucietti Comments: 8 pages, latex Subj-class: Mathematical Physics Journal-ref: J. Math. Anal. Appl. 296 (2004) 1-7 http://www.arxiv.org/abs/nlin.SI/0411009 Title: Quasi-linear Stokes phenomenon for the Hastings-McLeod solution of the second Painlev\'e equation Authors: A. A. Kapaev Comments: LaTeX2e, 22 pages Subj-class: Exactly Solvable and Integrable Systems http://www.arxiv.org/abs/hep-th/0411094 Title: Eight-vertex model and non-stationary Lame equation Authors: Vladimir V. Bazhanov, Vladimir V. Mangazeev Comments: 11 pages, LaTeX, minor misprints corrected, references added Subj-class: High Energy Physics - Theory; Mathematical Physics; Exactly Solvable and Integrable Systems Topic #13 --------- OP-SF NET 12.1 ----------- January 15, 2005 ~~~~~~~~~~~~~~ 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 #14 --------- OP-SF NET 12.1 ----------- January 15, 2005 ~~~~~~~~~~~~~~ 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 12.2 should be sent by March 1, 2005. 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 (2005-2007) are: Peter A. Clarkson, Chair Daniel W. Lozier, Vice Chair Javier Segura, Secretary Peter A. McCoy, Program Director The appointed officers are: Martin Muldoon, OP-SF NET editor Bonita Saunders, Webmaster o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o