o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o March 15, 2002 O P - S F N E T Volume 9, Number 2 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 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. Communications Committee 2. Message from the Chair 3. SIDE V conference 4. Chennai Meeting on Special Functions and Their Applications 5. Leuven Summer School 6. Fourth ISAAC Congress 2003 7. Book "The Mysteries of the Real Prime" 8. Book on Quantum Calculus 9. Preprints in xxx Archive 10. About the Activity Group 11. Submitting contributions to OP-SF NET and Newsletter Calendar of Events: 2002 May 11-18: Conference on Operator Theory in Bedlewo, Poland 8.6 #3 May 16-18: 9th International Krawtchouk Conference Kyiv (Kiev), Ukraine 9.1 #4 June 21-26: Symmetries and Integrability of Difference Equations (SIDE V), Giens, France 9.2 #3 June 27 - July 2: van Moerbeke on Random Matrices, etc., Leeds, UK 9.1 #5 June 24-27: International Workshop on Orthogonal Polynomials, Leganes, Madrid 8.6 #4 July 1-5: International Conference on Differential, Difference Equations and their Applications. Patras, Greece 8.4 #3, 9.1 #7 July 8-12 - SIAM 50th Anniversary & Annual Meeting Philadelphia, Pennsylvania, USA 8.6 #5 July 22 - August 2: IMA Summer Program "Special Functions in the Digital Age" Minneapolis, Minnesota, USA 8.2 #7 8.6 #9 August 5-14: Workshop on Special Functions at FoCM'02, "Foundations of Computational Mathematics" Minneapolis, Minnesota, USA 8.1 #1 8.6 #10 August 12-17: Summer school in Orthogonal Polynomials and Special Functions, Leuven, Belgium 8.4 #4 9.2 #5 September 2-6: Summer School on Approximation Methods in Systems Theory, Laredo, Spain. 9.1 #6 September 23-27: International Conference on Special Functions and their Applications, Chennai, India 9.2 #4 2003 July 7-11: 5th International Congress on Industrial and Applied Mathematics, ICIAM 2003, Sydney, Australia. 8.6 #6 August 11-16: Fourth ISAAC Congress, Toronto, Canada 9.2 #6 August 18-22: Seventh International Symposium on Orthogonal Polynomials, Special Functions and Applications, Copenhagen, Denmark 8.6 #7 Future plans: There are plans to organize a summer school on Orthogonal Polynomials and Special Functions in Portugal in July 2003. (Contact person: Amilcar Branquinho). This is in the series Laredo (2000), Inzell (2001) and Leuven (2002; see Topic #5). The coordinator of the three summer schools is Erik Koelink (koelink@dutiaw4.twi.tudelft.nl). These summer schools are part of our Activity Group's scientific program. The scientific committee consists of Erik Koelink, Rupert Lasser, Amilcar Branquinho, Paco Marcellan and Walter Van Assche. Topic #1 ------------- OP-SF NET 9.2 -------------- March 15, 2002 ~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: Communications Committee Immediately below (Topic #2), in the Message from the Chair, you will see a proposal for a Communications Committee, which I am going to Chair. The communications job is a large one and we need several people to help. My idea, which will be discussed with the committee is that we should have a person in charge of the meetings calendar, one in charge of soliciting reports of past meetings, one on charge book announcements and reviews, one to report on preprints in the xxx archive, etc. I hope that this will increase the service to readers without putting an undue burden on any of the volunteers. I would like to hear your views on this and also welcome volunteers for the committee. Topic #2 ------------- OP-SF NET 9.2 -------------- March 15, 2002 ~~~~~~~~~~~~~ From: Dan Lozier Subject: Message from the Chair Over the next 3 years the newly elected leadership of the activity group will be working hard to bring you the kinds of programs and services that we hope you will find interesting and useful. Below I will describe three developments that are in various stages of planning. 1. Communications Committee. The idea of forming this committee arose at an OPSF activity group meeting that was held during the Rome OPSFA conference in June 2001. Our printed and electronic newsletters, and our Web site, do a good job of disseminating information about orthogonal polynomials and special functions. The four people who provide this service are named at the end of every newsletter: Renato Alvarez-Nodarse, Rafael Yanez, Martin Muldoon, and Bonita Saunders. Each has explicit responsibility to use a particular communications channel to present essentially the same information. But the responsibility to gather this information is implicit. The new Communications Committee will be responsible as a team both to gather information and to disseminate it. The committee will determine its own internal structure and division of work among its members. Martin Muldoon has agreed to coordinate the development of the committee. Some OPSF members have already offered to serve on the committee, and others may be asked to serve. If you are interested in this opportunity, please contact Martin directly. 2. Szego Prize. SIAM has a number of prizes in various areas of applied mathematics that are named after prominent researchers. The idea of working with SIAM to establish a prize for research in OPSF has been discussed among the activity group officers from time to time, most recently at the activity group meeting in June 2001. The name Szego Prize was introduced at that meeting. Subsequently I talked with SIAM executive director Jim Crowley and SIAM technical director Bill Kolata. They support the idea, provided the financial arrangements can be worked out. Each SIAM prize has what I will call an endowment, for lack of a better term, from which the earnings provide cash to cover most of the expenses associated with the prize. SIAM manages prize endowments as part of its regular investment program. A big task for us, in addition to establishing the terms of the prize, will be to establish the endowment. I hope that we will be able to push forward with this idea, and I will make sure you are informed as progress is made. 3. SSFA Conference in India. Our activity group has a sister society in India, the Society for Special Functions and Applications. It was formed, using our SIAM charter as a model, after a successful conference in 1997 in which some of our members were participants. Another conference is being planned for September 23 - 27, 2002, to be preceded by a week-long workshop on computer algebra and the software packages Hyp and Hyp-q. Some of our members are on the advisory committee and the tentative list of speakers. There was hope that a funding contribution of $5000 might come from the U.S. SIAM identified a possible NSF program and offered to prepare the application, with technical input from us, but further investigation made it clear that the application would not be successful. I hope the conference will take place as planned even without U.S. support. Watch the Forthcoming Meetings and Conferences section of the newsletter for further announcements. Let me close by welcoming new officer Peter Clarkson and returning officers Walter Van Assche and Paco Marcellan. I also wish to thank Peter McCoy and Charles Dunkl, our founder, first chair and outgoing secretary, for running for the offices of Secretary and Vice Chair, respectively. Topic #3 ------------- OP-SF NET 9.2 -------------- March 15, 2002 ~~~~~~~~~~~~~ From: Walter Van Assche Subject: SIDE V conference The next conference on "Symmetries and Integrability of Difference Equations" (SIDE V) will be a Euresco Conference. The topics covered by this conference are - analytic and algebraic aspects of difference equations - difference Galois theory - the Painlev\'e property and singularity analysis - growth and branching phenomena in rational mappings - difference analogues of the Painlev\'e equations - isomonodromic deformation theory - asymptotics of orthogonal polynomials - symmetries of difference equations ~ applications to numerical analysis The conference will take place in Giens (near Toulon) in France, from June 21 to June 26, 2002. Grants are available for young scientists from the European Community and its associated states and some INTAS support is available for young scientists from the New Independent States of the former Soviet Union. Speakers will include Mark Ablowitz, Claude Brezinski, Peter Clarkson, Robert Conte, Rod Halburn, Peter Hydon, Gertruida Immink, Arieh Iserles, Alexander Its, Nalini Joshi, Martin Kruskal, Ilpo Laine, Decio Levi, Jean-Marie Maillard, Frank Nijhoff, Vassilis Papageorgiou, Reinout Quispel, Alfred Ramani, Konstantin Rerikh, Jacques Sauloy, Junkichi Satsuma, Walter Van Assche, Alexander Veselov, Pawel Winternitz. More information and the registration procedure can be found at http://www.esf.org/euresco/02/pc02185 Topic #4 ------------- OP-SF NET 9.2 -------------- March 15, 2002 ~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: Chennai Meeting on Special Functions and Their Applications [This information is taken from a poster sent electronically by the organizers.] An international conference "Special Functions and Their Applications" will be held in Chennai, India in the period September 23-27, 2002. General Information This is an International conference on Special Functions and their Applications, to be held at the Institute of Mathematical Sciences, Chennai, India, from September 23-27, 2002. The Plenary lectures ad Invited Talks by experts, the Papers/Posters by researchers will emphasize recent trends and the developments in the topics of interest to be covered. The objective of the Conference, cosponsored by the Society for Special Functions and their Applications (SSFA) of India and the Orthogonal Polynomials and Special Functions (OPSF) Activity Group of SIAM, is to bring together experts and active research workers with a broad spectrum of interests for fruitful exchange of ideas. Plenary/Invited Speakers R. P. Agarwal (Lucknow, India) S. Akiyama (Niigata Univ., Japan) S. Balasubramanian (IMSc, India) B. C. Berndt (UIUC, USA) S. Bhargava (Univ. Mysore, India) F. Calogero (INFN, Rome, Italy) M. Hata (Kyoto Univ., Japan) M. E. H. Ismail (Univ. South Florida, USA) S. Kanemitsu (Fukuoka Univ., Japan) A. U. Klymik (ITP, Kiev, Ukraine) K. Miyake (Tokyo Univ., Japan) Y. Tanigawa (Nagoya Univ., Japan) D. Lozier (NIST, USA) W. Van Assche (KULeuven, Belgium) G. Vanden Berghe (Univ. Gent, Belgium) J. Van der Jeugt (Univ. Gent, Belgium) A. Verma (IIT, Roorkee, India) M. Waldschmidt (Univ. Paris, France) M. Yoshida (Fukuoka Univ., Japan) Participation Participants should be active research scientists, students in the field of Special Functions and their Applications. The topics of the conference are: q-Series Number Theory Hypergeometric series Numerical Methods Group Theory of Special Functions Combinatorics Non-linear ODES Orthogonal Polynomials Applications to Physics Interested participants are requested to send by e-mail (or on plain paper) details giving their name, address, age, qualifications, present position and a resume of research work done. (Maximum number of participants: about 60). Address for Correspondence: Prof. K. Srinivasa Rao, Convener - Organizing Committee - ICSF2002, Institute of Mathematical Sciences, C.I.T. Campus, Tharamani, Chennai - 600 113, INDIA e-mail: icsf2002@imsc.ernet.in FAX: +91-44-254 1586 URL: http://www.imsc.ernet.in/~icsf2002 Topic #5 ------------- OP-SF NET 9.2 -------------- March 15, 2002 ~~~~~~~~~~~~~ From: Erik Koelink Subject: Leuven Summer School As announced in OP-SF NET 8.3, Topic #4, the third summer school in Orthogonal Polynomials and Special Functions will take place in Leuven, Belgium from August 12 to 17, 2002. The following people will give a series of lectures at the summer school. Wolfram Koepf (Kassel, Germany) Computer Algebra Algorithms for Orthogonal Polynomials and Special Functions Arno Kuijlaars (Leuven, Belgium) Riemann-Hilbert Analysis of Orthogonal Polynomials Adri Olde Daalhuis (Edinburgh, UK) Exponential Asymptotics Margit Roesler (Goettingen, Germany) Dunkl Operators: Theory and Applications Dennis Stanton (Minnesota, USA) Enumeration and Special Functions Joris Van der Jeugt (Gent, Belgium) 3nj-Coefficients and Orthogonal Polynomials of Hypergeometric Type The registration fee is 150 euro until Juy 15, 2002, and 200 euro after July 15, 2002. Accommodation: housing in a student residence building is 20 euros per night Depending on sponsors, there will be the possibility of (partial) funding of participants. For more information and registration visit http://aw.twi.tudelft.nl/~koelink/opsf2002.html or contact Walter Van Assche at walter.vanassche@wis.kuleuven.ac.be Erik Koelink at h.t.koelink@its.tudelft.nl. Topic #6 ------------- OP-SF NET 9.2 -------------- March 15, 2002 ~~~~~~~~~~~~~ From: Man-Wah Wong Subject: Fourth ISAAC Congress 2003 On behalf of the ISAAC (International Society for Analysis, its Applications and Computation) board, the local organizing committee and the Department of Mathematics and Statistics at York University, I am pleased to announce that the fourth ISAAC Congress will be held at York University in Toronto, Canada, from August 11, 2003 to August 16, 2003. We hope to be able to announce the list of plenary speakers and the list of special sessions in the near future. Editors Note: Information on the 3rd ISAAC Congress is at http://www.math.fu-berlin.de/~isaac/ This series should not be confused with the meetings sponsored by ISSAC (International Symposium on Symbolic and Algebraic Computation). Nor should we confuse this ISAAC with another one: International Society for Augmentative and Alternative Communication. Topic #7 ------------- OP-SF NET 9.2 -------------- March 15, 2002 ~~~~~~~~~~~~~ From: Tom Koornwinder Subject: Book "The Mysteries of the Real Prime" The following book announcement is from the web site: http://www.oup-usa.org/isbn/0198508689.html The Mysteries of the Real Prime M.J. SHAI HARAN, Technion-Israel Institute of Technology, Haifa, Israel In this important and original monograph, useful for both academic and professional researchers and students of mathematics and physics, the author describes his work on the Riemann zeta function and its adelic interpretation. It provides an original point of view, bringing new, highly useful dictionaries between different fields of mathematics. It develops an arithmetical approach to the continuum of real numbers and unifies many areas of mathematics including: Markov Chains, q-series, Elliptic curves, the Heisenberg group, quantum groups, and special functions (such as the Gamma, Beta, Zeta, theta, Bessel functions, the Askey-Wilson and the classical orthogonal polynomials) The text discusses real numbers from a p-adic point of view, first mooted by Arakelov. It includes original work on coherent theory, with implications for number theory and uses ideas from probability theory including Markov chains and noncommutative geometry which unifies the p-adic theory and the real theory by constructing a theory of quantum orthogonal polynomials. $75.00 (06) 0198508689 2001 London Mathematical Society Monographs, New Series 25 Table of Contents Introduction 1. The Real Prime 1.1. Algebra and geometry 1.2. The real prime 1.3. The mystery 2. The zeta function and gamma distribution 2.1. The local zeta function 2.2. The gamma distribution 2.3. Remarks on global theory 3. The Beta distribution 3.1. Phase space 3.2. The beta distribution 3.3. Special values 3.4. Remarks on the global theory 4. The p-adic hyperbolic point of view 4.1. Chains and trees 4.2. The p-adic gamma chain 4.3. The p-adic symmetric beta chain 4.4. The p-adic beta chain 5. Some real hyberbolic chains 5.1. The hyperbolic plane 5.2. N-adic expansion 5.3. Continued fraction expansion 6. Ramanujan's garden 6.1 The q-zeta function. 6.2. Elliptic curves 6.3. q-series 7. The q-Gamma and q-Beta chains 7.1. The q-gamma chain 7.2. The q-beta chains 7.3. The Heisenberg relation and special basis 8. The real beta chains 8.1. The beta chain 8.2. The Heisenberg relations and the special basis 8.3. The real units 9. Global 'chains' and higher dimensions 9.1. Restricted direct products of chains 9.2. Higher dimensional beta chains 10. The Fourier transform 10.1. The Tate distribution and the beta function at imaginary argument 10.2. The Fourier-Bessel transform 10.3. Symmetric convolution 10.4. The basic basis and the Laguerre basis 10.5. The beta measure 10.6. The pure gamma basis and the cut-off basis 10.7. The pure beta basis 10.8. The Askey-Wilson polynomials 11. The quantum group SU(1,1) 11.1. The quantum enveloping algebra Uq 11.2. Highest weight representation 11.3. The Hopf algebra structure 11.4. The universal R-matrix 12. The Heisenberg group 12.1. The Heisenberg group and its fundamental representation 12.2. Twisted convolution and multiplication 12.3. Matrix coefficients 12.4. The local lattice model 12.5. Special basis 12.6. The global lattice model 12.7. Automorphic forms on the Heisenberg group 13. The Riemann zeta function 13.1. The Riemann zeta function and the theta function 13.2. The explicit sums 13.3. The Eisenstein series connections 13.4. The Eisenstein series and the intertwining operator 13.5. The Riesz potential connection Bibliography Index Topic #8 ------------- OP-SF NET 9.2 -------------- March 15, 2002 ~~~~~~~~~~~~~ From: Tom Koornwinder Subject: Book on Quantum Calculus The following book announcement is from the web site: http://www.springer.de/cgi-bin/search_book.pl?isbn=0-387-95341-8 V. Kac and P. Cheung, MIT, Cambridge, MA, USA Quantum Calculus 2002. IX, 112 pp. Softcover 0-387-95341-8 Series: Universitext. Recommended Retail Price: EUR 34,95 Simply put, quantum calculus is ordinary calculus without taking limits. This undergraduate text develops two types of quantum calculi, the q-calculus and the h-calculus. As this book develops quantum calculus along the lines of traditional calculus, the reader discovers, with a remarkable inevitability, many important notions and results of classical mathematics. This book is written at the level of a first course in calculus and linear algebra and is aimed at undergraduate and beginning graduate students in mathematics, computer science, and physics. It is based on lectures and seminars given by Professor Kac over the last few years at MIT. >From the contents: q-derivative and h-derivative.- Generalized Taylor's formula for polynomials.- q-analogue of (x-a)n, n an integer, and q-derivatives of binomials.- q-Taylor's formula for polynomials.- Gauss' binomial formula and a non-commutative binomial formula.- Properties of q-binomial coefficients.- q-binomial coefficients and linear algebra over finite fields.- q-Taylor's formula for formal power series and Heine's binomial formula.- Two Euler identities and two q-exponential functions.- q-trigonometric functions.- Jacobi's triple product identity.- Classical partition function and Euler's product formula.- q-hypergeometric functions and Heine's formula. Topic #9 ------------- OP-SF NET 9.2 -------------- March 15, 2002 ~~~~~~~~~~~~~ From: OPSF NET Editor Subject: Preprints in xxx Archive The following preprints related to the fields of orthogonal polynomials and special functions were recently posted or cross-listed to one of the subcategories of the xxx archives. See especially: http://front.math.ucdavis.edu/math.CA http://front.math.ucdavis.edu/math.CO http://front.math.ucdavis.edu/math.QA http://xxx.lanl.gov/archive/solv-int math.CO/0201003 Title: Rim Hook Tableaux and Kostant's $\eta$-Function Coefficients Authors: Ron M. Adin, Avital Frumkin Comments: 22 pages Subj-class: Combinatorics; Representation Theory math.NT/0201024 Title: Ap\'ery-like difference equation for Catalan's constant Authors: Wadim Zudilin (Moscow) Comments: 10 pages Subj-class: Number Theory; Classical Analysis; Numerical Analysis MSC-class: Primary 39A05, 11B37, 11J70; Secondary 33C20, 33C60, 11B65, 11M06 math.NT/0201109 Title: The moment zeta function and applications Authors: Igor Rivin Comments: 19 pages, supersedes a part of cs.LG/0107033 Subj-class: Number Theory; Classical Analysis MSC-class: 11M06; 60F99; 60C05 math.CO/0201136 Title: Restricted 132-Involutions and Chebyshev Polynomials Authors: O. Guibert, T. Mansour Comments: 18 pages, 1 figure Subj-class: Combinatorics math.CO/0201140 Title: On the Eulerian Polynomials of Type D Authors: Chak-On Chow Comments: 18 pages Subj-class: Combinatorics MSC-class: 05A15 math.QA/0201177 Title: Asymptotics and 6j-symbols Authors: Justin Roberts Comments: For proceedings of Kyoto conference on quantum invariants, Sept. 2001 Subj-class: Quantum Algebra; Mathematical Physics MSC-class: 22E99; 81R05, 51M20 math.AG/0201225 Title: Nodal curves and Riccati solutions of Painlev\'e equations Authors: Masa-Hiko Saito, Hitomi Terajima (Kobe University) Comments: 30 pages, 4 figures Subj-class: Algebraic Geometry; Quantum Algebra MSC-class: 14D15, 34M55, 32G10 math.QA/0201272 Title: Bilinear summation formulas from quantum algebra representations Authors: Wolter Groenevelt Comments: 27 pages, 1 figure Subj-class: Quantum Algebra; Classical Analysis MSC-class: 33D45, 33D80, 20G42 math-ph/0201004 Title: Cyclic Identities Involving Jacobi Elliptic Functions Authors: Avinash Khare, Uday Sukhatme Comments: 14 pages, 0 figures Subj-class: Mathematical Physics math-ph/0201021 Title: Spectral bounds for the cutoff Coulomb potential Authors: Richard L. Hall, Qutaibeh D. Katatbeh Comments: 11 pages, 2 figures Subj-class: Mathematical Physics Journal-ref: Phys. Lett. A 294, 163-167 (2002) math-ph/0201026 Title: On the derivatives of generalized Gegenbauer polynomials Authors: W. Garcia Fuertes, A.M. Perelomov (U. Oviedo) Comments: 3 pages, no figures; submitted to Theor. Math. Phys Subj-class: Mathematical Physics math-ph/0201048 Title: Coupling coefficients of SO(n) and integrals over triplets of Jacobi and Gegenbauer polynomials Authors: Sigitas Alisauskas Comments: 27 Subj-class: Mathematical Physics; Representation Theory math-ph/0201051 Title: Application of the $\tau$-function theory of Painlev\'e equations to random matrices: \PV, \PIII, the LUE, JUE and CUE Authors: P.J. Forrester, N.S. Witte Comments: AMSLatex with CIMS macros Subj-class: Mathematical Physics; Exactly Solvable and Integrable Systems MSC-class: 15A52;34M55;20F55;60K35 math-ph/0201052 Title: "Exact WKB integration'' of polynomial 1D Schr\"odinger (or Sturm-Liouville) problem Authors: A. Voros (CEA/Saclay, SPhT, France) Comments: latex txt12.tex, 4 files, 3 figures, 18 pages Differential equations and Stokes phenomenon Groningen, The Netherlands May 28-30 2001 [SPhT-T01/146] Subj-class: Mathematical Physics nlin.SI/0201019 Title: Hyperelliptic Solutions of Sine-Gordon Equation and Weierstrass al Functions Authors: Shigeki Matsutani Comments: AMS-Tex, 12 pages Subj-class: Exactly Solvable and Integrable Systems; Algebraic Geometry; Differential Geometry; Mathematical Physics math.CA/0202019 Title: Divergent Cesaro and Riesz means of Jacobi and Laguerre expansions Authors: Christopher Meaney Comments: 8 pages Subj-class: Classical Analysis MSC-class: 42C05, 33C45, 42C10 math.DG/0202036 Title: Lax pairs for the equations describing compatible nonlocal Poisson brackets of hydrodynamic type, and integrable reductions of the Lame equations Authors: O. I. Mokhov Comments: 13 pages Subj-class: Differential Geometry; Symplectic Geometry; Exactly Solvable and Integrable Systems; Mathematical Physics math.RT/0202076 Title: Jack polynomials for the $BC_n$ root system and generalized spherical functions Authors: Alexei Oblomkov Comments: 22 pages Subj-class: Representation Theory math.CA/0202083 Title: Asymptotic analysis for the Dunkl kernel Authors: Margit Rösler, Marcel de Jeu Comments: LaTeX2e, 16 pages, 1 figure Subj-class: Classical Analysis; Representation Theory MSC-class: 33C52 (Primary) 33C67 (Secondary) math.NT/0202159 Title: An elementary proof of Apery's theorem Authors: Wadim Zudilin (Moscow) Comments: 8 pages Subj-class: Number Theory; Classical Analysis; General Mathematics MSC-class: 11J72 math.NT/0202166 Title: On an analytic estimate in the theory of the Riemann Zeta function and a Theorem of Baez-Duarte Authors: Jean-Francois Burnol Comments: 9 pages Subj-class: Number Theory MSC-class: 11M26 math.RT/0202182 Title: Enveloping algebra U(gl(3)) and orthogonal polynomials in several discrete indeterminates Authors: Alexander Sergeev (University of Stockholm) Comments: 12p., Latex Subj-class: Representation Theory MSC-class: 17B10 (Primary) 17B65, 33C45, 33C80 (Secondary) Journal-ref: Duplij S., Wess J. (eds.) Noncommutative structures in mathematics and physics, Proc. NATO Advanced Research Workshop, Kiev, 2000. Kluwer, 2001, 113--124 math.CV/0202203 Title: Linear combinations of sections and tails of Mittag-Leffler functions and their zeros Authors: N.A. Zheltukhina Comments: 14 pages Subj-class: Complex Variables; Classical Analysis MSC-class: 30C15 math.CA/0202232 Title: Reduction formulae for Karlsson-Minton type hypergeometric functions Authors: Hjalmar Rosengren Comments: 17 pages; Corollary 4.11 and Theorem 5.2 not contained in previous version Subj-class: Classical Analysis MSC-class: 33D15, 33D67 math.CA/0202235 Title: Asymptotic properties of a family of solutions of the Painleve equation PVI Authors: O Costin, R D Costin Subj-class: Classical Analysis MSC-class: 34M55; 34M30 math.NT/0202270 Title: A class of generalized gamma functions Authors: Jean-Paul Jurzak Comments: LaTeX file. 9 pages Subj-class: Number Theory math.QA/0202272 Title: Dilogarithme Quantique et 6j-Symboles Cycliques Authors: Stephane Baseilhac Comments: 40 pages, in French (abstract in English). Former 3rd chapter of the Author's PhD thesis Subj-class: Quantum Algebra math.NT/0202273 Title: Partial Euler products as a new approach to Riemann hypothesis Authors: Jean-Paul Jurzak Comments: LaTeX file. 22 pages Subj-class: Number Theory cond-mat/0202276 Title: Vicious walkers, friendly walkers and Young tableaux III: Between two walls Authors: Christian Krattenthaler (Universität Wien), Anthony J. Guttmann (University of Melbourne), Xavier G. Viennot (Université Bordeaux 1) Comments: 15 pages, LaTeX Subj-class: Statistical Mechanics; Combinatorics MSC-class: 82B23 (Primary) 05A15 05E05 82B20 (Secondary) nlin.SI/0201008 Title: Symbolic computation of exact solutions expressible in hyperbolic and elliptic functions for nonlinear partial differential and differential-difference equations Authors: D. Baldwin, U. Goktas, W. Hereman, L. Hong, R. S. Martino, J. Miller Comments: 36 pages. Software available from Willy Hereman's home page at http://www.mines.edu/fs_home/whereman/ Subj-class: Exactly Solvable and Integrable Systems hep-th/0201195 Title: Onsager's algebra and partially orthogonal polynomials Authors: G. von Gehlen Comments: 8 pages, no figures Subj-class: High Energy Physics - Theory; Exactly Solvable and Integrable Systems nlin.SI/0202037 Title: Rational solutions to the Pfaff lattice and Jack polynomials Authors: Mark Adler, Vadim B. Kuznetsov, Pierre van Moerbeke Comments: 57 pages Subj-class: Exactly Solvable and Integrable Systems nlin.SI/0202044 Title: On a class of algebraic solutions to Painlev\'e VI equation, its determinant formula and coalescence cascade Authors: Tetsu Masuda Comments: 35 pages Subj-class: Exactly Solvable and Integrable Systems Topic #10 ------------- OP-SF NET 9.2 -------------- March 15, 2002 ~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: About the Activity Group The SIAM Activity Group on Orthogonal Polynomials and Special Functions consists of a broad set of mathematicians, both pure and applied. The Group also includes engineers and scientists, students as well as experts. We have around 140 members scattered about in more than 20 countries. Whatever your specialty might be, we welcome your participation in this classical, and yet modern, topic. Our WWW home page is: http://math.nist.gov/opsf/ This is a convenient point of entry to all the services provided by the Group. Our Webmaster is Bonita Saunders (bonita.saunders@nist.gov). The Activity Group sponsors OP-SF NET, which is transmitted periodically by SIAM. It is provided as a free public service; membership in SIAM is not required. The OP-SF Net Editor is Martin Muldoon (muldoon@yorku.ca). To receive the OP-SF NET, send your name and email address to poly-request@siam.org. Back issues can be obtained at the WWW addresses: http://turing.wins.uva.nl/~thk/opsfnet http://www.math.ohio-state.edu/JAT/DATA/OPSFNET/opsfnet.html http://math.nist.gov/opsfnet/archive The NET provides fast turnaround compared to the printed Newsletter, also sponsored by the Activity Group, and edited by Renato Alvarez-Nodarse and Rafael Yanez. It appears three times a year and is mailed by SIAM. Back issues are accessible at: http://www.mathematik.uni-kassel.de/~koepf/siam.html To receive the Newsletter, you must be a member of SIAM and of the Activity Group. 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 #11 ------------- OP-SF NET 9.2 -------------- March 15, 2002 ~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: Submitting contributions to OP-SF NET and Newsletter To contribute a news item to OP-SF NET, send email to poly@siam.org with a copy to the OP-SF Editor . Please note that submissions to the Net are automatically considered for the Newsletter, and vice versa, unless the contributor requests otherwise. Contributions to OP-SF NET 9.3 should be sent by May 1, 2002. Please send your (printed) Newsletter contributions directly to the Editors: Renato Alvarez-Nodarse Departamento de Analisis Matematico Universidad de Sevilla Apdo. Postal 1160, Sevilla E-41080 Spain fax: +34-95-455-7972 e-mail: ran@us.es Rafael J. Yanez Departamento de Matematica Aplicada Universidad de Granada E-18071 Granada, Spain phone: +34-58-242941 fax: +34-58-242862 e-mail: ryanez@ugr.es preferably by email, and in latex format. Other formats are also acceptable and can be submitted by email, regular mail or fax. The deadline for submissions to be included in the June 2002 issue is May 15, 2002, and for the October 2002 issue is September 15, 2002. o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o OP-SF NET is a forum of the SIAM Activity Group on Special Functions and Orthogonal Polynomials. We disseminate your contributions on anything of interest to the special functions and orthogonal polynomials community. This includes announcements of conferences, forthcoming books, new software, electronic archives, research questions, job openings. o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o Send submissions to: poly@siam.org Subscribe by mailing to: poly-request@siam.org or to: listproc@nist.gov Get back issues from URL: http://turing.wins.uva.nl/~thk/opsfnet/ WWW home page of this Activity Group: http://math.nist.gov/opsf/ Information on joining SIAM and this activity group: service@siam.org o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o The elected Officers of the Activity Group (2002-2004) are: Daniel W. Lozier, Chair Walter Van Assche, Vice Chair Peter Clarkson, Secretary Francisco Marcellan, Program Director The appointed officers are: Renato Alvarez-Nodarse and Rafael J. Yanez, Newsletter Editors Martin Muldoon, OP-SF NET editor Bonita Saunders, Webmaster o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o