o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o November 15, 2003 O P - S F N E T Volume 10, Number 6 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 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. Special Day to Honour George Andrews 2. 2003 Twente Conference on Lie Theory 3. OPSFA 8 / ICDEA 10 (Munich 2005) 4. Meetings in Madrid in 2004 5. Report on AMADE-2003 6. Postdoctoral Fellowship Opportunity at NIST 7. Call for Nominations - The Theodore von Karman Prize 8. Call for Nominations - W. T. and Idalia Reid Prize 9. Book by Renato Alvarez Nodarse 10. Updates to Suslov's book on Basic Fourier Series 11. Preprints in xxx Archive 12. About the Activity Group 13. Submitting contributions to OP-SF NET Calendar of Events: 2003 December 15-17: Twente Conference on Lie Theory, Enschede, the Netherlands 10.6 #2 http://wwwhome.math.utwente.nl/~lie/ 2004 January 7-10: Joint Mathematics Meetings, Phoenix, Arizona, USA (including Special Sessions on "Classical and Nonlinear Special Functions" (Jan 9-10) on "Theory and Applications of Orthogonal Polynomials" (Jan 7-8) and on "Continued Fractions" (Jan 9) 10.3 #3 http://www.ams.org/amsmtgs/2078_intro.html February 15-20: International Meeting on Constructive Approximation, Witten-Bommerholz, Germany 10.5 #2 http://www.sbg.ac.at/mat/events/idomat2004/idomat01.htm April 1: Special Day to Honour George Andrews, Pennsylvania State University 10.6 #1 http://www.math.psu.edu/sellersj/ganas/ July 5-July 8 Sixth International Workshop on Orthogonal Polynomials (IWOP): Orthogonal Polynomials in Mathematical Physics. Universidad Carlos III de Madrid, Leganes, Spain 10.6 #4 July 8 - July 18: Fifth Summer School on Orthogonal Polynomials and Special Functions, Universidad Carlos III de Madrid, Leganes, Spain 10.6 #4 July 12-16: SIAM Annual Meeting, Portland, Oregon, USA http://www.siam.org/meetings/an04/ November 7-9: CONSTRUCTIVE FUNCTIONS TECH-O4, Atlanta, Georgia, USA 10.5 #3 www.math.gatech.edu/news/conferences/at04/ 2005 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 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 10.6 ------------ November 15, 2003 ~~~~~~~~~~~~~~ From: Tom Koornwinder Subject: Special Day to Honour George Andrews Special day at Penn State celebrating George Andrews' Election to the National Academy of Sciences (and his 65th Birthday), When: Thursday, April 1, 2004 Where: Penn State University's Hetzel Union Building (HUB) Heritage Hall webpage: http://www.math.psu.edu/sellersj/ganas/ Topic #2 ----------- OP-SF NET 10.6 ------------ November 15, 2003 ~~~~~~~~~~~~~~ From: Erik Koelink Subject: 2003 Twente Conference on Lie Theory 2003 Twente Conference on Lie Theory, December 15-17, 2003, takes place at the Unversiteit Twente, Enschede, the Netherlands The list of invited speakers consists of Vyjayanthi Chari, University of California at Riverside, USA Richard Cushman, Universiteit Utrecht, the Netherlands. Wolter Groenevelt, Technische Universiteit Delft, the Netherlands. Arno Kuijlaars, Katholieke Universiteit Leuven, Belgium. Dmitry Lebedev, Institute of Theoretical and Experimental Physics, Russia Bernard Leclerc, Université Caen, France Gail Letzter, Virginia Polytechnic Institute and State University, USA. Martin Olbrich, Universität Göttingen, Germany. Philippe Roche, Université Montpellier II, France. Margit Rösler, Universität Göttingen, Germany. Raphaël Rouquier , Université de Paris VII (Denis Diderot), France. Tonny Springer, Universiteit Utrecht, the Netherlands. Pierre Van Moerbeke, Université Catholique de Louvain, Belgium. The website for this meeting can be found at http://wwwhome.math.utwente.nl/~lie/ The scientific committee is E. van den Ban (Utrecht), G. van Dijk (Leiden), G. Heckman (Nijmegen), G. Helminck (Twente), E. Koelink (Delft), T. Koornwinder (Amsterdam), J. van de Leur (Utrecht), E. Opdam (Amsterdam), J. Stokman (Amsterdam), E. Thomas (Groningen). The organising committee consists of Gerard Helminck (Twente) email: helminckgf@cs.utwente.nl Erik Koelink (Delft) email: h.t.koelink@ewi.tudelft.nl Johan van de Leur (Utrecht) email: vdleur@math.uu.nl Jasper Stokman (Amsterdam) email: jstokman@science.uva.nl (or the general email address lie@cs.utwente.nl) Topic #3 ----------- OP-SF NET 10.6 ------------ November 15, 2003 ~~~~~~~~~~~~~~ From: Andreas Ruffing Subject: OPSFA 8 / ICDEA 10 The Eighth International Symposium on Orthogonal Polynomials, Special Functions and Applications will be held in Munich/Germany from 25th July 2005 to 29th July 2005 as a joint event with The Tenth International Conference on Difference Equations and Applications The Organizing Committee for this joint meeting consists of Bernd Aulbach, Rupert Lasser and Andreas Ruffing. The Scientific Committee will be constituted during the coming weeks. Andreas Ruffing For the Organizing Committee to OPSFA 8 / ICDEA 10 Topic #4 ----------- OP-SF NET 10.6 ------------ November 15, 2003 ~~~~~~~~~~~~~~ From: Francisco Marcellan Subject: Meetings in Madrid in 2004 There will be a Workshop (July 5-8) and Summer School (July 8-18) In Madrid in 2004. Here are some details. Sixth International Workshop on Orthogonal Polynomials (IWOP): Orthogonal Polynomials in Mathematical Physics. Universidad Carlos III de Madrid, Leganes, Spain Dates: July 5-July 8, 2004 Invited Speakers A. Fokas (Department of Applied Mathematics and Theoretical Physics, University of Cambridge, UK) A. Grunbaum (Department of Mathematics, University of California, Berkeley, USA) P. Clarkson (Institute of Mathematics, Statistics and Actuarial Sciences, University of Kent, UK) N. Atakishiev (UNAM, Cuernavaca, Mexico) A. Zhedanov (Donetsk Institute for Physics and Technology, Donetsk, Ukraine) J.A. Tirao (Centro de Investigacion y Estudios de Cordoba, Universidad Nacional de Cordoba, Argentina) J. S. Dehesa (Departamento de Fisica Moderna, Universidad de Granada, Spain). Organizing Committee: F. Marcellan, R. Alvarez Nodarse and J. Arvesu Scientific Committee: F. Marcellan, W. Van Assche, A. Duran, G. Lopez Lagomasino For more information please contact F. Marcellan: pacomarc@ing.uc3m.es and the web page http://merlin.us.es/~renato/iwop/ Fifth Summer School on Orthogonal Polynomials and Special Functions Universidad Carlos III de Madrid, Leganes, Spain Dates: July 8-July 18, 2004. This scientific event continues the set of Summer Schools held in Laredo (2000), Inzell (2001), Leuven (2002), Coimbra (2003) in the framework of the activities organized by our SIAG and in the last two years with the financial support of an Intensive Program of the European Union. The aim is to present recent research trends in orthogonal polynomials and special functions for postgraduate students and young researchers interested in our domain. Lecture notes will be available for participants. Confirmed Speakers: W. Gautschi (Department of Computer Science, Purdue University, USA) P. Terwilliger (Department of Mathematics, University of Wisconsin-Madison) P. Clarkson (Institute of Mathematics, Statistics and Actuarial Sciences, University of Kent, UK) Vadim Kuznetsov (Department of Mathematics, University of Leeds, UK) A. Martinez (Departamento de Estadistica y Matematica Aplicada, Universidad de Almeria, Spain) A. Bultheel (Department of Computer Science, Katholieke Universiteit Leuven, Belgium) B. Beckermann (Departement d'Analyse Numerique, Universite de Lille 1, France) J.S. Geronimo (School of Mathematics, Georgia Institute of Technology, USA) For more information please contact F. Marcellan (pacomarc@ing.uc3m) as well as the web page of the IP http://www.mat.uc.pt/~ajplb/opsf2.htm Topic #5 ----------- OP-SF NET 10.6 ------------ November 15, 2003 ~~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: Report on AMADE-2003 The following information was received from the organizers of the 3rd International Conference "Analytic Methods of Analysis and Differential Equations" (AMADE-2003), Minsk, Belarus, September 4-9, 2003 The 3rd International Conference "Analytic Methods of Analysis and Differential Equations" (AMADE-2003) took place on September 4-9, 2003 in Minsk, Belarus. It keeps the tradition of the International Conferences "Boundary Value Problems, Special Functions and Fractional Calculus", devoted to the 90th birthday of academician F.D.Gakhov (Minsk, Belarus, February 15-20, 1996), "Analytic Methods of Analysis and Differential Equations" (AMADE) (Minsk, Belarus, September 14-18, 1999), and (AMADE-2001) (Minsk, Belarus, February 15-19, 2001). AMADE-2003 was organized by the Belarusian State University together with the Institute of Mathematics of the Belarusian National Academy of Sciences. It was held at the Olympic Sport Center "Staiki" which is situated 10 km from Minsk, the capital of Belarus. The Conference was organized under the guidance of the International Society for Analysis its Applications and Computation (ISAAC) and was included in the calendar of the events of the European Mathematical Society. Information on the Conference was published in the Journal "Fractional Calculus and Applied Analysis" and in the Notices of the American Mathematical Society. The Web-site www.amade-bsu.com containing the information on AMADE-2003 and its predecessors, was created. More than 320 mathematicians from Europe, Africa, America and Asia confirmed their interest in the Conference. 166 representatives of Algeria, Belarus, Canada, Finland, France, Great Britain, Korea, Lithuania, Malaysia, Mexico, Poland, Portugal, Russia, Turkey, Ukraine, Uzbekistan, USA and Vietnam took part in AMADE-2003. Four sections operated at the conference: 1. Integral Transforms and Special Functions. 2. Differential Equations and Applications. 3. Integral, Difference, Functional Equations and Fractional Calculus. 4. Real and Complex Analysis. There were 23 plenary invited lectures and 116 sectional talks devoted to different problems of modern analysis, differential equations and their applications. Plenary invited lectures were given by the following mathematicians: ˇ Antonevich A. (Minsk, Belarus), Zajkowski K. (Bialystok, Poland) The spectral of functional operators and the random walks ˇ Barabanov A.E. (St.-Petersburg, Russia) H-infinity design for delayed systems ˇ Buraczewski A. (Olsztyn, Poland) On some problem in determinant theory of Fredholm operators ˇ Burenkov V.I. (Cardiff, UK) Spectral stability of the Neumann and Robin Laplacians ˇ Goryainov V.V. (Volzhsky, Russia) Functional equations and fractional iteration of analytic functions ˇ Gromak V.I. (Minsk, Belarus) On the higher order Painleve equations ˇ Karapetyants N.K., Avsyankin O.G., Gil ?.V. (Rostov-on-Don, Russia) Certain questions of the theory of integral operators with homogeneous kernels ˇ Kilbas A.A. (Minsk, Belarus) Integral and differential equations of fractional order ˇ Clarkson P.A. (Canterbury, U.K.) Rational solutions of the Painleve equations and associated special polynomials ˇ Korzyuk V.I., Cheb E.S. (Minsk, Belarus) Averaging operators with variable mesh in the theory of boundary value problems ˇ Kun Soo Chang (Seoul, Korea) Transforms and convolutions in functional spaces ˇ Laine I. (Joensuu, Finland) Growth of first, second and fourth Painleve transcendents ˇ Laurincikas A. (Vilnius, Lithuania) Zeta-functions of holomorphic cusp forms ˇ Moiseev E.I. (Moscow, Russia) On a non-local boundary value problems with spectral parameter ˇ Prilepko A.I., Tkachenko D.S. (Moscow, Russia) Fredholmity of the inverse problem on the source for parabolic systems ˇ Rahimov M., Gurkan F. (Sanliurfa, Turkey) Spectral theory of operators which act from topological space to endomorphism algebra of Banach space and multidimensional differential equation in Lie algebra ˇ Rogosin S.V. (Minsk, Belarus) On analytic solutions to a free boundary value problem with disconnected free boundary ˇ Rozaini R., Zainodin H.J., Jusoh A.W. and Ho C.M. (Kota Kinabalu, Malaysia) Blasius series on the steady boundary-layer from an unsteady free convective problem ˇ Samko S.G. (Faro, Portugal) On a recent progress on function spaces with nonstandard growth ˇ Silvestrov V.V. (Cheboksary, Russia), Antipov Y.A. (Bath, UK) A system of functional-difference equations with periodic coefficients ˇ Sokolov M.S. (Tashkent, Uzbekistan) Multi-interval boundary value problems. Multiplicity and spectral representation ˇ Vakulov B.G., Karapetyants N.K. (Rostov-on-Don, Russia) Spherical operators of potential type with singularities in poles of the sphere ˇ Yurchuk N.I. (Minsk, Belarus) A priori estimate and continuous dependence on a form of boundary conditions of solution of mixed problems for parabolic equations The participants of the conference pointed out its high scientific level. The proceedings of AMADE-2001 are to be published in a special issues of the Journal "Proceedings of the Institute of Mathematics" of the Belarusian National Academy of Sciences. A part of the reports was recommended for publication in the Journal "Integral Transforms and Special Functions". At the final meeting the participants suggested organizing the next AMADE-Conference in February 2006 and devoting it to the centenary of Academician F.D.Gakhov. I.V.Gaishun, M.V.Dubatovskaya, A. A. Kilbas, S.V.Rogosin, A.A.Sen'ko, N.I.Yurchu Topic #6 ----------- OP-SF NET 10.6 ------------ November 15, 2003 ~~~~~~~~~~~~~~ From: Dan Lozier Subject: Postdoctoral Fellowship Opportunity at NIST Dan Lozier is the research adviser for a two-year postdoctoral research opportunity in Computation of Special Functions at NIST in Gaithersburg, Maryland. From the research announcement: "This research opportunity focuses on improving numerical and symbolic computing support for the classical special functions of mathematical physics in parallel and other advanced computational settings through the development of algorithms and mathematical software. Emphasis in algorithm development is placed on functions of one or more complex variables. For example, a recurrence relation or differential equation can sometimes be solved in parallel to form a stable and effective algorithm in the complex domain. This approach has been applied successfully to Airy, Bessel, and other functions. The emphasis in software development is placed on the construction of robust and highly reliable packages and test procedures. An essential component is the use of the Internet to provide an interactive capability in the dissemination of mathematical reference data for special functions. The further development of these topics will require skills in real and complex analysis, numerical analysis, classical special functions, approximation theory, and parallel computing." The NIST postdoctoral program is administered by the National Research Council of the National Academy of Sciences in Washington. See http://www.national-academies.org/rap for a complete description of the NIST program (follow the link to Participating Programs, and then the link to NIST). The research announcement quoted above can be found by clicking on Rap Search (found at the left, not at the top, of the web page), then entering a keyword search to "special functions". Important: This opportunity is available only to citizens of the United States. The deadline for application is February 1, 2004. Dan would be pleased to talk with anyone who is interested in applying. Topic #7 ----------- OP-SF NET 10.6 ------------ November 15, 2003 ~~~~~~~~~~~~~~ From: Joanna Littleton Subject: Call for Nominations - The Theodore von Karman Prize CALL FOR NOMINATIONS for THE THEODORE von KARMAN PRIZE SIAM will present the Theodore von Karman Prize at the SIAM Annual Meeting scheduled for July 12-16, 2004, in Portland, Oregon. -Principal Guidelines- The award will be given for a notable application of mathematics to mechanics and/or the engineering sciences made during the five to ten years preceding the award. The award may be given either for a single notable achievement or for a collection of such achievements. -Description of Award- The award consists of a hand-calligraphed certificate and a $1,000 cash prize. Expenses for the winner to attend the annual meeting to receive the award will be borne by SIAM. Further information about the award, including past winners, may be found at http://www.siam.org/prizes/vonkar.htm . -Nominations- A letter of nomination, including a description of achievement(s) should be sent by January 30, 2004, to: Von Karman Prize Selection Committee c/o Joanna Littleton SIAM 3600 University City Science Center Philadelphia, PA 19104-2688 E-mail: littleton@siam.org Telephone: 215-382-9800 ext. 303 Fax: 215-386-7999 -Selection Committee- The selection committee consists of J. Tinsley Oden (University of Texas at Austin), Richard D. James (University of Minnesota), Thomas R. J. Hughes (University of Texas at Austin). Topic #8 ----------- OP-SF NET 10.6 ------------ November 15, 2003 ~~~~~~~~~~~~~~ From: Joanna Littleton Subject: Call for Nominations - W. T. and Idalia Reid Prize CALL FOR NOMINATIONS W. T. and IDALIA REID PRIZE SIAM will present the W. T. and Idalia Reid Prize at the SIAM Annual Meeting scheduled to be held July 12-16, 2004, in Portland, Oregon. The award will be given for research in, or other contributions to, the broadly defined areas of differential equations and control theory. The prize may be given either for a single notable achievement or for a collection of such achievements. Committee Chair John Burns wishes to stress the breadth of the eligible fields. He welcomes nominations in all areas of differential equations (ODEs, PDEs, etc.), both analytical and numerical, as well as in control theory. Eligibility The prize is awarded to any member of the scientific community who meets the general guidelines of the prize description above. Description of Award The award consists of an engraved medal and a $10,000 cash prize. Nominations A letter of nomination, including a description of achievement(s), should be sent to the address below. Nominations must be received in the SIAM office by January 30, 2004. Professor John A. Burns Chair, Reid Prize Selection Committee c/o Joanna Littleton SIAM 3600 University City Science Center Philadelphia, PA 19104-2688 Telephone: 215-382-9800 ext. 303 Fax: 215-386-7999 E-mail: littleton@siam.org Selection Committee Members of the selection committee are John A. Burns (Virginia Polytechnic Institute and State University), Chair; H. Thomas Banks (North Carolina State University); Max Gunzburger (Florida State University); James P. Keener (University of Utah); Alan J. Laub (University of California, Davis). Topic #9 ----------- OP-SF NET 10.6 ------------ November 15, 2003 ~~~~~~~~~~~~~~ From: Francisco Marcellan Subject: Book announcement Renato Alvarez Nodarse Polinomios hipergeometricos y q-polinomios. Monografias del Seminario Matematico Garcia de Galdeano. Volume 26 Zaragoza. 2003. 343 pages. (In Spanish) ISBN 84-7733-637-7. Contents Chapter 1. A historical introduction. Chapter 2. General properties of orthogonal polynomials Chapter 3. Classical orthogonal polynomials Chapter 4. Discrete orthogonal polynomials. Chapter 5. Hypergeometric polynomials in non uniform lattices. Chapter 6. q-polynomials in the lattice x(s)=c_1 q^s + c_3. Chapter 7. Distribution of zeros for q-polynomials Chapter 8. Some applications: Harmonic oscillator. Linearization and Connection Problems. Group representations. This monograph is based on a updated presentation of the PhD thesis by R. Alvarez Nodarse and constitutes a personal approach to the study of orthogonal polynomials from a constructive point of view. A comparison between the q-tableaux by Hahn, Askey and Nikiforv-Uvarov, respectively, is presented. The different characterizations of "classical" orthogonal polynomials in the uniform lattice and non uniform lattices are given. The asymptotic distribution of zeros of orthogonal polynomials for the geometric (exponential) lattice is carefully studied. Some applications in Quantum Mechanics, showing the powerful theory of orthogonal polynomials, are explained. An useful set of tables containing the parameters associated with the different expressions which characterize classical orthogonal polynomials (three term recurrence relation, structure relation, Pearson equation) are included. Finally, an updated list of references (250) is given. Unfortunately, this monograph is written in Spanish but it is a nice reference for those interested in the theory of orthogonal polynomials. With this book and as an complementary exercise they can also try to learn the language of Cervantes, Almodovar, and Rey Pastor. For some extra information (an English summary as well as corrected misprints) about the book you are kindly invited to visit the web page http://merlin.us.es/~renato/q-libro/ Topic #10 ----------- OP-SF NET 10.6 ------------ November 15, 2003 ~~~~~~~~~~~~~~ From: OPSF NET Editor Subject: Updates to Suslov's book on Basic Fourier Series Sergei Suslov has posted a file of the known errata in his book "An Introduction to Basic Fourier Series", Kluwer, DEVM, v. 9, 2003, at http://hahn.la.asu.edu/~suslov/bfs/index.html Topic #11 ----------- OP-SF NET 10.6 ------------ November 15, 2003 ~~~~~~~~~~~~~~ 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 http://www.arXiv.org/abs/math.CO/0309108 Title: Lecture Hall Theorems, q-series and Truncated Objects Authors: S. Corteel, C.D. Savage Subj-class: Combinatorics MSC-class: 05A17 05A15 05A30 33D15 http://www.arXiv.org/abs/math.QA/0309201 Title: Ramanujan's "Lost Notebook" and the Virasoro Algebra Authors: Antun Milas Comments: Revised version (23 pages, misprints corrected, references added) Subj-class: Quantum Algebra; Combinatorics; Number Theory; Representation Theory http://www.arXiv.org/abs/math.SP/0309206 Title: Necessary and Sufficient Conditions in the Spectral Theory of Jacobi Matrices and Schr\"odinger Operators Authors: David Damanik, Rowan Killip, Barry Simon Comments: 10 pages Subj-class: Spectral Theory; Mathematical Physics http://www.arXiv.org/abs/math.CA/0309241 Title: Extensions of the well-poised and elliptic well-poised Bailey lemma Authors: S. Ole Warnaar Comments: 16 pages, AMS-LaTeX, to appear in Indag. Math. (N.S.) Subj-class: Classical Analysis and ODEs; Combinatorics MSC-class: 33D15; 33E05 http://www.arXiv.org/abs/math.CA/0309242 Title: Summation formulae for elliptic hypergeometric series Authors: S. Ole Warnaar Comments: 8 pages, AMS-LaTeX Subj-class: Classical Analysis and ODEs; Combinatorics MSC-class: 33D15; 33E0 http://www.arXiv.org/abs/math.QA/0309252 Title: Transformations of elliptic hypergometric integrals Authors: Eric M. Rains Comments: 47 pages, LaTeX Subj-class: Quantum Algebra; Classical Analysis and ODEs; Combinatorics http://www.arXiv.org/abs/math.CA/0309279 Title: Unit circle elliptic beta integrals Authors: J.F. van Diejen, V.P. Spiridonov Comments: 15 pages Subj-class: Classical Analysis and ODEs MSC-class: 33Dxx; 33E20 http://www.arXiv.org/abs/math.AG/0309341 Title: B\"acklund Transformations of the Sixth Painlev\'e Equation in Terms of Riemann-Hilbert Correspondence Authors: Michi-aki Inaba (Kyushu), Katsunori Iwasaki (Kyushu), Masa-Hiko Saito (Kobe) Comments: 24pages, 4 figures, 3 eps files Subj-class: Algebraic Geometry; Analysis of PDEs; Exactly Solvable and Integrable Systems MSC-class: 33E17; 37K20, 37J35 http://www.arXiv.org/abs/math.CA/0309358 Title: On Warnaar's elliptic matrix inversion and Karlsson-Minton-type elliptic hypergeometric series Authors: Hjalmar Rosengren, Michael Schlosser Comments: 16 pages Subj-class: Classical Analysis and ODEs; Combinatorics; Quantum Algebra MSC-class: 11F50; 15A09; 33D15; 33E05 http://www.arXiv.org/abs/math.QA/0309372 Title: Identities between q-hypergeometric and hypergeometric integrals of different dimensions Authors: V.Tarasov, A.Varchenko Comments: Preprint (2003), 14 pages, AmsLaTeX Subj-class: Quantum Algebra; Mathematical Physics; Representation Theory http://www.arXiv.org/abs/math.NT/0309415 Title: Geometry and arithmetic associated to Appell hypergeometric partial differential equations Authors: Lei Yang Comments: 119 pages Subj-class: Number Theory; Algebraic Geometry MSC-class: 11F55, 11G15, 14K20, 22E40, 33Cxx http://www.arXiv.org/abs/math.CA/0309443 Title: Strong asymptotics for Jacobi polynomials with varying nonstandard parameters Authors: A.B.J. Kuijlaars, A. Martinez-Finkelshtein Comments: 31 pages, 13 figures Subj-class: Classical Analysis and ODEs; Complex Variables MSC-class: 33C45 http://www.arXiv.org/abs/math.CA/0309445 Title: Some continuous analogs of expansion in Jacobi polynomials and vector valued hypergeometric orthogonal bases Authors: Neretin Yu. A Comments: 15 pages Subj-class: Classical Analysis and ODEs; Representation Theory MSC-class: 33C05, 33C45, 44xx, 47E05 http://www.arXiv.org/abs/math.QA/0309452 Title: Hypergeometric theta functions and elliptic Macdonald polynomials Authors: Giovanni Felder (ETH Zurich), Alexander Varchenko (UNC Chapel Hill) Comments: 16 pages Subj-class: Quantum Algebra MSC-class: 33D52;81T40 http://www.arXiv.org/abs/math.NT/0309478 Title: Riemann's Zeta Function and Beyond Authors: Stephen S. Gelbart, Stephen D. Miller Comments: Survey, 63 pages, to appear in the Bulletin of the A.M.S., 2004 Subj-class: Number Theory; Complex Variables http://www.arXiv.org/abs/hep-th/0309067 Title: Explicit formulas for the generalized Hermite polynomials in superspace Authors: Patrick Desrosiers, Luc Lapointe, Pierre Mathieu Comments: 20 pages. This is a recasting of the second part of the first version of hep-th/030538 which has been splitted in two articles Subj-class: High Energy Physics - Theory; Combinatorics; Quantum Algebra; Exactly Solvable and Integrable Systems http://www.arXiv.org/abs/math-ph/0309005 Title: Lam\'e polynomials, hyperelliptic reductions and Lam\'e band structure Authors: Robert S. Maier (University of Arizona) Subj-class: Mathematical Physics; Classical Analysis and ODEs; Exactly Solvable and Integrable Systems MSC-class: 33E10 (Primary); 34L40, 14K25 (Secondary) http://www.arXiv.org/abs/math-ph/0309058 Title: Growth models, random matrices and Painleve transcendents Authors: Peter J. Forrester Comments: 27 pages, 5 figures Subj-class: Mathematical Physics Journal-ref: Nonlinearity, volume 16, issue 6, pages R27 - R49, 2003 http://www.arXiv.org/abs/nlin.SI/0309078 Title: Dessins d'Enfants, Their Deformations and Algebraic the Sixth Painlev\'e and Gauss Hypergeometric Functions Authors: A. V. Kitaev Comments: 35 pages Subj-class: Exactly Solvable and Integrable Systems; Classical Analysis and ODEs http://www.arXiv.org/abs/nlin.SI/0309058 Title: Symmetries of Discrete Systems Authors: Pavel Winternitz Comments: 58 pages, 5 figures, Lectures presented at the Winter School on Discrete Integrable Systems in Pondicherry, India, February 2003 Subj-class: Exactly Solvable and Integrable Systems; Mathematical Physics http://www.arXiv.org/abs/math.AG/0310003 Title: Bivariate hypergeometric D-modules Authors: Alicia Dickenstein, Laura Matusevich, Timur Sadykov Comments: 36 pages Subj-class: Algebraic Geometry http://www.arXiv.org/abs/math.QA/0310042 Title: Tridiagonal pairs and the quantum affine algebra $U_q({\hat {sl}}_2)$ Authors: Tatsuro Ito, Paul Terwilliger Comments: 23 pages Subj-class: Quantum Algebra; Complex Variables MSC-class: 20G42 http://www.arXiv.org/abs/math.CA/0310061 Title: Resolution of Some Open Problems Concerning Multiple Zeta Evaluations of Arbitrary Depth Authors: Douglas Bowman (Northern Illinois University), David M. Bradley (University of Maine) Comments: 21 pages, To appear in Compositio Mathematica Subj-class: Classical Analysis and ODEs; Number Theory MSC-class: 33E20 (Primary) 33C05, 11G55 (Secondary) http://www.arXiv.org/abs/math.CA/0310062 Title: Multiple Polylogarithms: A Brief Survey Authors: Douglas Bowman (Northern Illinois University), David M. Bradley (University of Maine) Comments: 22 pages, in "Proceedings of a Conference on q-Series with Applications to Combinatorics, Number Theory and Physics," (Bruce C. Berndt and Ken Ono eds.) American Mathematical Society, Contemporary Mathematics, Vol. 291, 2001, pp. 71-92. [MR #2003c:33021] Subj-class: Classical Analysis and ODEs; Number Theory MSC-class: 33E20 (Primary) 11G55, 11M99, 40B05 (Secondary) Journal-ref: Contemporary Mathematics Vol. 291 (2001), 71-92. [MR #2003c:33021] http://www.arXiv.org/abs/math.CA/0310063 Title: Coupling of the Legendre polynomials with kernels $|x-y|^\alpha$ and $\ln|x-y|$ Authors: S. Sadov Comments: 23 pp. LaTeX, Preprint of the Keldysh Institute for Applied Mathematics Subj-class: Classical Analysis and ODEs MSC-class: 33C20; 45H05 http://www.arXiv.org/abs/math.QA/0310080 Title: The Rogers-Selberg recursions, the Gordon-Andrews identities and intertwining operators Authors: Stefano Capparelli, James Lepowsky, Antun Milas Comments: 22 pages, LaTeX Subj-class: Quantum Algebra; Combinatorics; Representation Theory http://www.arXiv.org/abs/math.CO/0310082 Title: The Algebra and Combinatorics of Shuffles and Multiple Zeta Values Authors: Douglas Bowman (Northern Illinois University), David M. Bradley (University of Maine) Comments: 21 pages, available online at this http URL Subj-class: Combinatorics; Number Theory MSC-class: 05E99 (Primary) 20F40, 68R15 (Secondary) Journal-ref: Journal of Combinatorial Theory, Series A, Vol. 97 (2002), no. 1, pp. 43-61 DOI: 10.1006/jcta.2001.3194 http://www.arXiv.org/abs/math.FA/0310172 Title: Some computable Wiener-Hopf determinants and polynomials orthogonal on an arc of the unit circle Authors: I. V. Krasovsky Comments: 16 pages Subj-class: Functional Analysis; Mathematical Physics http://www.arXiv.org/abs/math.CV/0310204 Title: A Riemann-Hilbert problem for biorthogonal polynomials Authors: A. B. J. Kuijlaars, K. T-R McLaughlin Comments: 10 pages Subj-class: Complex Variables; Mathematical Physics http://www.arXiv.org/abs/math.NA/0310238 Title: Computation of the entropy of polynomials orthogonal on an interval Authors: V. Buyarov, J. S. Dehesa, A. Martinez-Finkelshtein, J. Sanchez-Lara Comments: Aprox. 21 pages, 5 figures Subj-class: Numerical Analysis; Classical Analysis and ODEs; Mathematical Physics MSC-class: 33C45; 33C55; 33C90; 33F05; 42C05; 65D20; 65D30; 81Q99 http://www.arXiv.org/abs/math.QA/0310249 Title: Singular Polynomials for the Symmetric Group and Krawtchouk Polynomials Authors: Charles F. Dunkl Comments: submitted to Proceedings of 10th Kravchuk International Conference (2004), 12 pages Subj-class: Quantum Algebra; Classical Analysis and ODEs MSC-class: 33C80, 20C30 http://www.arXiv.org/abs/math.CA/0310278 Title: Uniform Asymptotics for Polynomials Orthogonal With Respect to a General Class of Discrete Weights and Universality Results for Associated Ensembles Authors: J. Baik, T. Kriecherbauer, K. T.-R. McLaughlin, P. D. Miller Comments: 152 Pages Subj-class: Classical Analysis and ODEs; Probability Theory; Exactly Solvable and Integrable Systems http://www.arXiv.org/abs/math.CA/0310436 Title: Transformations of some Gauss hypergeometric functions Authors: Raimundas Vidunas Comments: 16 pages; submitted for the Proceedings of the OPSFIA 7 symposium (Copenhagen, August 18-22, 2003) Subj-class: Classical Analysis and ODEs MSC-class: 33C05; 14Q05 http://www.arXiv.org/abs/math.CA/0310465 Title: Finite-gap solutions of the Fuchsian equation Authors: Alexander O. Smirnov Comments: 19 pages, LaTeX2e (AMSLaTeX) Subj-class: Classical Analysis and ODEs; Spectral Theory MSC-class: 33E30 (Primary); 34L40; 14H70 (Secondary) http://www.arXiv.org/abs/math.AP/0310480 Title: Hypergeometric functions and the Tricomi operator Authors: J. Barros-Neto, Fernando Cardoso Subj-class: Analysis of PDEs; Classical Analysis and ODEs; Functional Analysis http://www.arXiv.org/abs/math-ph/0310006 Title: Discrete q-derivatives and symmetries of q-difference equations Authors: D. Levi, J. Negro, M.A. del Olmo Comments: 23 pages, 17 figures, LaTex Subj-class: Mathematical Physics; Exactly Solvable and Integrable Systems http://www.arXiv.org/abs/math-ph/0310011 Title: Separation of variables and Lie algebra contractions. Applications to special functions Authors: George Pogosyan, Alexey Sissakian, Pavel Winternitz Subj-class: Mathematical Physics Journal-ref: Phys.Part.Nuclei 33(7) 235-276 (2002) http://www.arXiv.org/abs/math-ph/0310038 Title: Disentangling q-exponentials: A general approach Authors: C. Quesne Comments: LaTeX 2e, 19 pages, no figure Subj-class: Mathematical Physics; Quantum Algebra http://www.arXiv.org/abs/math-ph/0310048 Title: On the integration of products of Whittaker functions with respect to the second index Authors: Peter A. Becker Comments: Accepted for publication in the Journal of Mathematical Physics Subj-class: Mathematical Physics; Complex Variables MSC-class: 33C15, 30E20 (Primary) 85A25 (Secondary) http://www.arXiv.org/abs/math-ph/0310054 Title: Three tests of general relativity via Fermat's principle and the phase of Bessel functions Authors: B. H. Lavenda Comments: 16 pages Subj-class: Mathematical Physics MSC-class: 83Cxx; 83D05 http://www.arXiv.org/abs/math-ph/0310056 Title: Reality Conditions of Loop Solitons Genus g: Hyperelliptic am Functions Authors: Shigeki Matsutani Comments: 13 pages, 3 figures Subj-class: Mathematical Physics MSC-class: 37K20, 35Q53, 14H45, 14H70 http://www.arXiv.org/abs/math-ph/0310058 Title: Systems with Intensity Dependent Conversion Integrable by Finite Orthogonal Polynomials Authors: Maciej Horowski, Goce Chadzitaskos, Anatol Odzijewicz, Agnieszka Tereszkiewicz Comments: 12 pages Subj-class: Mathematical Physics MSC-class: 81V80, 33C45, 81R12, 81R15 Topic #12 ----------- OP-SF NET 10.6 ------------ November 15, 2003 ~~~~~~~~~~~~~~ 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 #13 ----------- OP-SF NET 10.6 ------------ November 15, 2003 ~~~~~~~~~~~~~~ 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 11.1 should be sent by January 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