o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o January 15, 2006 O P - S F N E T Volume 13, Number 1 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Editors: Diego Dominici dominicd@newpaltz.edu 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. Message from the Chair 2. Conference on Approximation and Optimization in the Caribbean 3. Minisymposium at Boston meeting 4. Madrid conference on Constructive Approximation Theory 5. SimonFest (reminder) 6. Vadim Kuznetsov 7. Math on the Web and DLMF 8. SIAM Student Paper Prize - call for submissions 9. Preprints in arXiv.org 10. About the Activity Group 11. Submitting contributions to OP-SF NET Calendar of Events: 2006 March 27-31: Spectral Theory and Mathematical Physics, A Conference in Honor of Barry Simon's 60th Birthday, Pasadena, California, USA 12.2, #2 http://www.math.caltech.edu/simonfest.html April 3-7: 8th International Conference on Approximation and Optimization in the Caribbean, Santo Domingo, Dominican Republic 13.1, #2 http://www.ams.org/mathcal/info/2006_apr3-7_santodomingo.html April 8-9: American Mathematical Society Central Section Meeting, including Special Session on Special Functions and Orthogonal Polynomials, Notre Dame, Indiana, USA 12.6, #2 http://www.ams.org/amsmtgs/2130_program.html May 6-11: International Conference on Fourier and Complex Analysis: Classical Problems - Current View, Protaras, Cyprus 12.4, #1; 12.6 #4 http://www.ucy.ac.cy/~cfca/ June 19-23: FPSAC '06 - 18th Annual International Conference on Formal Power Series and Algebraic Combinatorics, San Diego, California, USA 12.6. #3 http://garsia.math.yorku.ca/fpsac06/ July 10-14: SIAM Annual Meeting, Boston, Massachusetts, USA including Minisymposium on Computation and Application of Special Functions in Scientific Computing 13.1, #3 http://www.siam.org/meetings/an06/index.php July 10-14: Symmetries and Integrability of Difference Equations 7, Melbourne, Australia http://www.physics.utu.fi/theory/SIDE/ August 22-30 International Congress of Mathematicians, Madrid, Spain http://www.icm2006.org/ August 30 - September 1 New Trends in Constructive Approximation Theory, Universidad Carlos III de Madrid, Spain 13.1, #4 September 4-29: Short programme "The Painleve Equations and Monodromy Problems", Newton Institute. Cambridge, UK http://www.newton.cam.ac.uk/programmes/PEM/index.html 12.3 #2 September (exact date to be announced): AMADE 2006, Minsk, Belarus http://www.amade-bsu.com/ 12.3 #3 2007 July (dates to be announced): OPSFA - Orthogonal Polynomials, Special Functions and their Applications, Marseille, France Topic #1 ---------- OP-SF NET 13.1 ----------- January 15, 2006 ~~~~~~~~~~~~~~ From: Peter Clarkson Subject: Message from the Chair Welcome to the first SIAM Activity Group on Orthogonal Polynomials and Special Functions newsletter of 2006. This year the newsletter is edited by Diego Dominici and Martin Muldoon. Many thanks to them for providing the invaluable service to the OPSF Activity Group. This year the SIAM Annual Meeting is to be held in Boston, Massachusetts, USA during the week July 10-14. Vadim Olshevsky (University of Connecticut) is to give a topical lecture related to "Orthogonal Polynomials". Further, as mentioned elsewhere in this newsletter, Pete McCoy and Dan Lozier have submitted a proposal for a Minisymposium on Computation and Application of Special Functions in Scientific Computing during the Annual Meeting with talks by Annie Cuyt (University of Antwerp), Lothar Reichel (Kent State University), Lee Van Buren (Cary, North Carolina) and Jeffrey E. Boisvert (NAVSEA Newport) and Diego Dominici (State University of New York at New Paltz). Many thanks to Pete and Dan for organizing this. I look forward to meeting members of the Activity group at various conferences during this coming year. Topic #2 ---------- OP-SF NET 13.1 ----------- January 15, 2006 ~~~~~~~~~~~~~~ From: Paco Marcellan Subject: Conference on Approximation and Optimization in the Caribbean >From April 3-7, 2006, the 8th International Conference on Approximation and Optimization in the Caribbean will be held in Santo Domingo, Dominican Republic. For registration and General Information contact Professor Dr. Rene Piedra rpiedra@pucmm.edu.do Editors' Note: The further information below is from http://www.ams.org/mathcal/info/2006_apr3-7_santodomingo.html Location: Universidad Autonoma de Santo Domingo (UASD), Dominican Republic. Description: This is the first announcement and call for papers. The deadline for submitting papers is January 30th. We are inviting lectures, tutorials, mini-symposia, and contributed talks on the following topics: Approximation: Wavelets, polynomial and rational approximation, splines, orthogonal polynomials, interpolation, asymptotic analysis, radial basis function. Optimization: Continuous and discrete optimization, parametric, stochastic and global optimization, nonlinear equations and inequalities, non- smooth analysis, critical point theory, control theory. Mathematical economics: fixed point theory, equilibria of competitive economics, portfolio problems, cooperative and noncooperative games. Applications: engineering and energy models, robotics, pattern recognition, image restoration, applications in biology, economy and sciences. Organizers: Juergen Guddat, Humboldt-University, Berlin Institute of Mathematics, Unter den Linden 6, D-10099 Berlin, Germany; e-mail: guddat@mathematik.hu-berlin.de; Amado Reyes, Universidad Autonoma de Santo Domingo, Ciudad Universitaria, Departamento de Matematica, Facultad de Ciencias, Santo Domingo, Dominican Republic. Phone: (809)732-2575, Fax (809)732-2556; e-mail: sunlandamado@verizon.net.do Topic #3 ---------- OP-SF NET 13.1 ----------- January 15, 2006 ~~~~~~~~~~~~~~ From: Pete McCoy Subject: Minisymposium at Boston meeting Dan Lozier and I have proposed a Minisymposium on "Computation and Application of Special Functions in Scientific Computing" for the SIAM Annual Meeting in Boston, July 10-14, 2006. Speaker and Titles: "Reliable multiprecision implementation of a class of special functions", Annie Cuyt (University of Antwerp) "Orthogonal polynomials and Gaussian quadrature applied to the solution of large-scale ill-posed problems", Lothar Reichel (Kent State University) "Improved calculation of Mathieu functions of integer order with application to acoustic radiation from pistons on an elliptic cylinder", Lee Van Buren (Cary, North Carolina) and Jeffrey E. Boisvert (NAVSEA Newport) "Asymptotic analysis of the higher derivatives of the inverse of the error function", Diego Dominici (State University of New York at New Paltz) Topic #4 ---------- OP-SF NET 13.1 ----------- January 15, 2006 ~~~~~~~~~~~~~~ From: Paco Marcellan Subject: Madrid conference on Constructive Approximation Theory We have applied for a Satellite Meeting in Madrid on the occasion of ICM2006. The answer from the organizers of ICM will arrive at the end of January. In any case, we will go ahead with it. Thus some members of our SIAG attending the ICM can have the opportunity to remain in Madrid for three extra days of interesting activity. The basic information is: Title: New Trends in Constructive Approximation Theory Dates: August 30-31, September 1, 2006. Location: Universidad Carlos III de Madrid Local Organizing Committee. G. Lopez Lagomasino, F. Marcellan, J. Arvesu, R.Costas, J. Sanchez (Universidad Carlos III de Madrid), W. Van Assche (Katholieke Universiteit Leuven). Coordinator: F. Marcellan Departamento de Matematicas. Universidad Carlos III de Madrid. Avenida de la Universidad 30 28911 Leganos, Spain pacomarc@ing.uc3m.es Invited Speakers. (One hour talks) P. Deift, Courant Institute, New York University, USA. B. Simon, California Institute of Technology, USA. A. Grunbaum, University of California, Berkeley, USA. S. Khruschev, Atilim University, Ankara, Turkey. M. E. H. Ismail, University of Central Florida, USA. A. B. Kuijlaars, Katholieke Universiteit Leuven, Belgium. The aim of this meeting is to present the state of the art as well as new trends in Constructive Approximation with the participation of 7 leading researchers in the subject. We expect the participation of other specialists in the subject as well as young researchers (half hour talks) but with a limit of 60 people. We will focus our attention on several topics related to rational and polynomial approximation, spectral theory of differential operators, inverse problems, analytic properties of orthogonal polynomials and their applications in integrable and dynamical systems. Topics to be covered: Riemann-Hilbert approach to asymptotics of orthogonal polynomials, inverse problems and rational approximation, spectral theory of banded and differential operators, numerical analysis and rational approximation, integrable non linear dynamical systems, eigenvalues of random matrices, non-standard orthogonal polynomials. More information about the meeting (accommodation, registration fees, and scientific program will be available from February 15, 2006. For more information please contact F. Marcellan (pacomarc@ing.uc3m.es) Topic #5 ---------- OP-SF NET 13.1 ----------- January 15, 2006 ~~~~~~~~~~~~~~ From: Cherie Galvez Subject: SimonFest (reminder) Spectral Theory and Mathematical Physics A Conference in Honor of Barry Simon's 60th Birthday Monday, March 27 to Friday, March 31, 2006 http://www.math.caltech.edu/mp2006conf.html Lectures at the conference will present mainly surveys of areas reflecting Barry Simon's scientific interests over the years in Mathematical Physics and Analysis. >From the conference home page one can go to a list of speakers and the schedule of their talks. Online registration for this event is open. Payments of registration and the banquet can be made by check or credit card. To register, go to http://www.math.caltech.edu/simonfest/registration.html Information about the program, lodging, transport and directions to Caltech, financial support, etc., can be found at http://www.math.caltech.edu/mp2006conf.html Please feel free to contact Cherie Galvez and Fritz Gesztesy with any further questions about the conference. Fritz Gesztesy On behalf of the Organizing Committee Topic #6 ---------- OP-SF NET 13.1 ----------- January 15, 2006 ~~~~~~~~~~~~~~ From: Tom Koornwinder Subject: Vadim Kuznetsov Vadim B. Kuznetsov (University of Leeds, UK) died suddenly and unexpectedly on 16 December 2005. He was an expert in the field of Integrable Systems. MathSciNet lists 45 publications of his, over the period 1987-2004. Among these there are 13 which have Primary/Secondary MSC number 33. He became best known in special functions by a series of papers together with E.K. Sklyanin on application of the technique of separation of variables in quantum integrable systems in order to obtain an integral transform mapping n-variable Macdonald (or Jack) polynomials to a product of n one-variable functions, and vice versa. Vadim Kuznetsov studied and graduated in Leningrad (now St. Petersburg). In 1993 he came to Amsterdam for a two-year postdoc position with me. After further postdoc positions in Denmark and Canada he settled in Leeds, first in temporary positions obtained by successful grant applications, and eventually in a tenured position as a Reader in Applied Analysis. Vadim was always very kind and enthusiastic. He had 21 coauthors. He was very active in organizing meetings, of which two Proceedings edited by him have appeared. A third volume, the Proceedings of the Workshop on Jack, Hall-Littlewood and Macdonald polynomials (Edinburgh, 23-26 September 2003), to be coedited with Siddharta Sahi, should appear soon in the AMS series Contemporary Mathematics. Vadim is survived by his wife, Olga, and son, Simon. Links: A short obituary provided by the University of Leeds appears at http://campus.leeds.ac.uk/newsincludes/newsitem3495.htm There is a photo of Vadim lecturing during the Workshop on Special Functions, Representation Theory and Applications, Amsterdam, 25-27 August 2003 at http://www.science.uva.nl/~thk/pictures/03-08Asd/PvEB/PvEB-Pages/Image34.html Topic #7 ---------- OP-SF NET 13.1 ----------- January 15, 2006 ~~~~~~~~~~~~~~ From: Pete McCoy Subject: Math on the Web and DLMF Our Activity Group Vice Chair Dr. Daniel W. Lozier of the National Institute of Standards and Technology lectured on "Math on the Web and the Digital Library of Mathematical Functions Project" at the Fall Meeting of the Washington-Baltimore Section of SIAM held at Johns Hopkins University on November 9, 2005. Powerpoint slides from the talk are accessible at http://math.nist.gov/~lozier/talks/. Peter McCoy President, Washington-Baltimore Section of SIAM Topic #8 ---------- OP-SF NET 13.1 ----------- January 15, 2006 ~~~~~~~~~~~~~~ From: J. M. Littleton Subject: SIAM Student Paper Prize - call for submissions The 2006 SIAM STUDENT PAPER PRIZE will be presented at the 2006 SIAM Annual Meeting scheduled for July 10-14, 2006, in Boston, Massachusetts. 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 prize. The purpose of the Student Paper Prize is to recognize outstanding scholarship by students in applied mathematics or computing. 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. Eligibility is restricted to students in good standing who do not yet hold the degree of PhD on the application deadline. Papers entered in the competition must have already been submitted for publication. Submissions may be based on co-authored papers. To enter the competition, a student must submit: (1) an extended abstract, in English, of the paper. The total length of the submitted abstract (including bibliography) may not exceed five pages. (2) a short vita (at most 2 pages). (3) the complete paper. (4) proof that the paper has been submitted for publication. If a paper is co-authored, each PhD-holding co-author must write a letter attesting to the student's (students') pivotal role and contributions to the results. The student's (students') advisor also must submit a letter that: * describes and evaluates the paper's contribution to the literature and the student's (students') contribution to the paper. * verifies that the student (students) meets the conditions of eligibility for the award. All papers and accompanying documentation must be received at the SIAM office on or before February 15, 2006. 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: +1-215-382-9800, ext. 303 E-mail: littleton@siam.org 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. The members of the selection committee are: William L. Briggs (Chair), University of Colorado at Denver; Juergen Gerlach, Radford University; Maeve L. McCarthy, Murray State University. Topic #9 ---------- OP-SF NET 13.1 ----------- January 15, 2006 ~~~~~~~~~~~~~~ From: OP-SF NET Editors Subject: Preprints in arXiv.org The following preprints related to the fields of orthogonal polynomials and special functions were posted or cross-listed to one of the subcategories of arXiv.org during November and December 2005. 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 Particular attention is directed to some review or expository papers: on q-special functions, by Tom Koornwinder http://www.arxiv.org/abs/math.CA/0511148 on orthogonal polynomials by Vilmos Totik http://www.arxiv.org/abs/math.CA/0512424 and on electrostatic models for zeros of polynomials by F. Marcellan, A. Martinez-Finkelshtein, and P. Martinez-Gonzalez http://www.arxiv.org/abs/math.CA/0512293 http://www.arxiv.org/abs/math.CA/0511074 Title: Asymptotic Approximations to Truncation Errors of Series Representations for Special Functions Authors: Ernst Joachim Weniger Comments: 20 pages, LaTeX2e, 0 figures Subj-class: Classical Analysis and ODEs MSC-class: 11M06, 33C05, 33C70 http://www.arxiv.org/abs/math.NT/0511092 Title: A note on S(T) and the zeros of the Riemann zeta-function Authors: D. A. Goldston, S. M. Gonek Comments: 5 pages Subj-class: Number Theory MSC-class: 11M26 http://www.arxiv.org/abs/math.NT/0511130 Title: On the q-Analogue of Gamma Functions and Related Inequalities Authors: Taekyun Kim, C. Adiga Comments: 5 pages Subj-class: Number Theory MSC-class: 33B15 Journal-ref: Jounal of Inequalities in Pure and Applied Mathematics Vol 6(2005), p. 1-5 http://www.arxiv.org/abs/math.NT/0511131 Title: A note on q-analogue of Sandor's functions Authors: Taekyun Kim, C. Adiga, Hung Hun Han Comments: 8 pages Subj-class: Number Theory MSC-class: 33D05, 40A05 http://www.arxiv.org/abs/math.QA/0511138 Title: The Differential equation for Jacobi-Pineiro polynomials Authors: E.Mukhin, A.Varchenko Comments: 4 pages Subj-class: Quantum Algebra http://www.arxiv.org/abs/math.CA/0511148 Title: q-Special functions, an overview Authors: Tom H. Koornwinder Comments: 23 pages Subj-class: Classical Analysis and ODEs MSC-class: 33Dxx http://www.arxiv.org/abs/math.CA/0511149 Title: Quadratic Transformations of the Sixth Painleve' Equation Authors: Raimundas Vidunas, Alexander V. Kitaev Comments: 22 pages Subj-class: Classical Analysis and ODEs MSC-class: 34M55, 33E17 http://www.arxiv.org/abs/math.NT/0511182 Title: A Hybrid Euler-Hadamard product formula for the Riemann zeta function Authors: S. M. Gonek, C. P. Hughes, J. P. Keating Subj-class: Number Theory http://www.arxiv.org/abs/math.NT/0511245 Title: Properties of Coefficients of Certain Linear Forms in Generalized Polylogarithms Authors: Sergey Zlobin Comments: to appear in the special issue of Fundamental and Applied Mathematics dedicated to the 90th birthday of A.B. Shidlovskii Subj-class: Number Theory; Classical Analysis and ODEs MSC-class: 11J72; 11G55; 11M06; 33B30 http://www.arxiv.org/abs/math.CA/0511269 Title: Schur flows and orthogonal polynomials on the unit circle Authors: L. Golinskii Comments: 17 pages Subj-class: Classical Analysis and ODEs; Spectral Theory MSC-class: 42C05; 37K10; 37K15 http://www.arxiv.org/abs/math.CO/0511333 Title: Bisymmetric functions, Macdonald polynomials and sl_3 basic hypergeometric series Authors: S. Ole Warnaar Comments: 48 pages Subj-class: Combinatorics; Quantum Algebra MSC-class: 05E05, 33D67 http://www.arxiv.org/abs/math.CA/0511335 Title: Ramanujan's Harmonic Number Expansion Authors: Mark B. Villarino Comments: 7 pages. Acknowledgements added. Many typos corrected. Parts of the proof rewritten Subj-class: Classical Analysis and ODEs MSC-class: 26D5, 33B15 http://www.arxiv.org/abs/math.AG/0511351 Title: GKZ Hypergeometric Structures Authors: Jan Stienstra Comments: 58 pages, 2 figures, Latex2e, to appear in the proceedings of the Summer School Algebraic Geometry and Hypergeometric Functions in Istanbul in June 2005 Subj-class: Algebraic Geometry MSC-class: 33C70, 14M25 (Primary), 14N35 (Secondary) http://www.arxiv.org/abs/math.QA/0511509 Title: Askey-Wilson relations and Leonard pairs Authors: Raimundas Vidunas Comments: 21 pages Subj-class: Quantum Algebra MSC-class: 33C45, 33D45, 17B37, 05E35 http://www.arxiv.org/abs/math.CA/0511579 Title: Classical elliptic hypergeometric functions and their applications Authors: V.P. Spiridonov Comments: 42 pages, lectures at the workshop "Elliptic integrable systems" (RIMS, Kyoto, November 8-11, 2004) Subj-class: Classical Analysis and ODEs; Mathematical Physics MSC-class: 33E99 Journal-ref: Rokko Lect. in Math. Vol. 18, Dept. of Math, Kobe Univ., 2005, pp. 253--287 http://www.arxiv.org/abs/math.CA/0511604 Title: Hausdorff moments, Hardy spaces and power series Authors: Enrico De Micheli, Giovanni Alberto Viano Comments: 17 pages, 2 Postscript figures Subj-class: Classical Analysis and ODEs; Complex Variables MSC-class: 30B10; 30E05 Journal-ref: J. Math. Anal. Appl. 234 (1999), 265-286 http://www.arxiv.org/abs/math.QA/0511632 Title: Representations of the Quantum Algebra su_q(1,1) and Discrete q-Ultraspherical Polynomials Authors: Valentyna Groza Comments: Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/ Subj-class: Quantum Algebra; Mathematical Physics; Representation Theory Journal-ref: SIGMA, Vol. 1 (2005), Paper 016, 7 pages http://www.arxiv.org/abs/math.FA/0511685 Title: Hypoelliptic Dunkl equations in the space of distributions on $R^d$ Authors: Hatem Mejjaoli (AFHA) Subj-class: Functional Analysis MSC-class: 33C80, 43A32, 44A35, 51F15 http://www.arxiv.org/abs/math.CA/0511709 Title: Non-symmetric Jacobi and Wilson type polynomials Authors: Lizhong Peng, Genkai Zhang Subj-class: Classical Analysis and ODEs; Functional Analysis http://www.arxiv.org/abs/math-ph/0511015 Title: A method to derive explicit formulas for an elliptic generalization of the Jack polynomials Authors: Edwin Langmann Comments: 14 pages, to appear in the proceedings of a workshop on "Jack, Hall-Littlewood and Macdonald polynomials", V.B. Kuznetsov and S. Sahi (eds.), Contemporary Mathematics, AMS Subj-class: Mathematical Physics MSC-class: 82B23, 35Q58, 81Q05 http://www.arxiv.org/abs/math-ph/0511089 Title: Some cubic birth and death processes and their related orthogonal polynomials Authors: Jacek Gilewicz (CPT), Elie Leopold (CPT), Andreas Ruffing (TUM), Galliano Valent (LPTHE) Comments: latex2e, 17 pages Subj-class: Mathematical Physics http://www.arxiv.org/abs/math.CO/0512064 Title: The correlation functions of vertex operators and Macdonald polynomials Authors: Shun-Jen Cheng, Weiqiang Wang Comments: 12 pages Subj-class: Combinatorics; Quantum Algebra http://www.arxiv.org/abs/math.CA/0512142 Title: Boundary conditions associated with the Painlev\'e III' and V evaluations of some random matrix averages Authors: P.J. Forrester, N.S. Witte Subj-class: Classical Analysis and ODEs MSC-class: 15A52;34M55;58F19 http://www.arxiv.org/abs/math.ST/0512224 Title: Approximation Operators, Exponential, q-Exponential, and Free Exponential Families Authors: Wlodzimierz Bryc, Mourad Ismail Subj-class: Statistics MSC-class: 62E10, 41A35, 44A10,33C45 http://www.arxiv.org/abs/math.CA/0512243 Title: R. Fuchs' problem of the Painleve equations from the first to the fifth Authors: Yousuke Ohyama, Shoji Okumura Comments: 23 pages Subj-class: Classical Analysis and ODEs MSC-class: 34M55; 33E17 http://www.arxiv.org/abs/math.CA/0512293 Title: Electrostatic models for zeros of polynomials: old, new, and some open problems Authors: F. Marcellan, A. Martinez-Finkelshtein, P. Martinez-Gonzalez Comments: 23 pages, 2 figures Subj-class: Classical Analysis and ODEs MSC-class: 33C45; 33C47; 31A05; 26C10; 30C15; 42C05 http://www.arxiv.org/abs/math.CA/0512358 Title: Discrete Painlev\'e equations for recurrence coefficients of orthogonal polynomials Authors: Walter Van Assche Comments: 26 pages, 2 figures, submitted for the proceedings of the International Conference on Difference Equations, Special Functions, and Applications, Munich, Germany, July 2005 Subj-class: Classical Analysis and ODEs MSC-class: 34M55; 33C47; 42C05 http://www.arxiv.org/abs/math.CA/0512424 Title: Orthogonal Polynomials Authors: Vilmos Totik Subj-class: Classical Analysis and ODEs MSC-class: 42C05 Journal-ref: Surveys in Approximation Theory, 1 (2005), 70-125 http://www.arxiv.org/abs/math.CA/0512474 Title: Bessel convolutions on matrix cones Authors: Margit Roesler Comments: 33 pages Subj-class: Classical Analysis and ODEs; Representation Theory MSC-class: 33C67, 33C80, 43A62, 43A85 http://www.arxiv.org/abs/math.CO/0512571 Title: Short Proofs of Summation and Transformation Formulas for Basic Hypergeometric Series Authors: Victor J. W. Guo, Jiang Zeng (Universite Claude Bernard Lyon-I) Comments: 17 pages. See also this http URL Subj-class: Combinatorics MSC-class: 33D15; 05A30 http://www.arxiv.org/abs/math-ph/0512005 Title: From asymptotics to spectral measures: determinate versus indeterminate moment problems Authors: Galliano Valent (LPTHE, Lumimath) Comments: Lecture given at the International Mediterranean Congress of Mathematics, Almeria, 6-10 June 2005, latex2e, 16 pages Subj-class: Mathematical Physics http://www.arxiv.org/abs/math-ph/0512006 Title: Heun functions versus elliptic functions Authors: Galliano Valent (LPTHE, Lumimath) Comments: Communication at the International Conference on Difference Equations, Special Functions and Applications, Munich, 25-30 July 2005, latex 2e, 20 pages Subj-class: Mathematical Physics http://www.arxiv.org/abs/math-ph/0512010 Title: New method for evaluating integrals involving orthogonal polynomials: Laguerre polynomial and Bessel function example Authors: A. D. Alhaidari Comments: Abstract does not display the integral result, which is in an image format shown in the Abstract on the manuscript Subj-class: Mathematical Physics http://www.arxiv.org/abs/nlin.SI/0512065 Title: Hyperelliptic Theta-Functions and Spectral Methods Authors: J. Frauendiener, C. Klein Comments: 25 pages, 12 figures Subj-class: Exactly Solvable and Integrable Systems; Algebraic Geometry Journal-ref: J. Comp. Appl. Math., Vol. 167, 193 (2004) http://www.arxiv.org/abs/nlin.SI/0512066 Title: Hyperelliptic Theta-Functions and Spectral Methods: KdV and KP solutions Authors: J. Frauendiener, C. Klein Comments: 16 pages, 8 figures Subj-class: Exactly Solvable and Integrable Systems; Algebraic Geometry http://www.arxiv.org/abs/nlin.SI/0511008 Title: Power solution expansions of the analogue to the first Painleve equation Authors: Aleksandr D. Bruno, Nikolai A. Kudryashov Comments: 27 pages, 3 figures Subj-class: Exactly Solvable and Integrable Systems http://www.arxiv.org/abs/nlin.SI/0511045 Title: Power and non-power expansions of the solutions for the fourth-order analogue to the second Painlev\'{e} equation Authors: Maria V. Demina, Nikolai A. Kudryashov Comments: 34 pages, 8 figures; submitted to Chaos, Solitons & Fractals Subj-class: Exactly Solvable and Integrable Systems http://www.arxiv.org/abs/nlin.SI/0512041 Title: Generating Function Associated with the Hankel Determinant Formula for the Solutions of the Painlev\'e IV Equation Authors: Nalini Joshi, Kenji Kajiwara, Marta Mazzocco Comments: 18 pages Subj-class: Exactly Solvable and Integrable Systems Topic #10 ---------- OP-SF NET 13.1 ----------- January 15, 2006 ~~~~~~~~~~~~~~ From: OP-SF NET Editors 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 Editors are Diego Dominici (dominicd@newpaltz.edu) and 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 #11 ---------- OP-SF NET 13.1 ----------- January 15, 2006 ~~~~~~~~~~~~~~ From: OP-SF NET Editors 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 one of the OP-SF Editors or . Contributions to OP-SF NET 13.2 should be sent by March 1, 2006. 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: Diego Dominici, OP-SF NET co-editor Martin Muldoon, OP-SF NET co-editor Bonita Saunders, Webmaster o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o January 15, 2006 O P - S F N E T Volume 13, Number 1 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Editors: Diego Dominici dominicd@newpaltz.edu 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. Message from the Chair 2. Conference on Approximation and Optimization in the Caribbean 3. Minisymposium at Boston meeting 4. Madrid conference on Constructive Approximation Theory 5. SimonFest (reminder) 6. Vadim Kuznetsov 7. Math on the Web and DLMF 8. SIAM Student Paper Prize - call for submissions 9. Preprints in arXiv.org 10. About the Activity Group 11. Submitting contributions to OP-SF NET Calendar of Events: 2006 March 27-31: Spectral Theory and Mathematical Physics, A Conference in Honor of Barry Simon's 60th Birthday, Pasadena, California, USA 12.2, #2 http://www.math.caltech.edu/simonfest.html April 3-7: 8th International Conference on Approximation and Optimization in the Caribbean, Santo Domingo, Dominican Republic 13.1, #2 http://www.ams.org/mathcal/info/2006_apr3-7_santodomingo.html April 8-9: American Mathematical Society Central Section Meeting, including Special Session on Special Functions and Orthogonal Polynomials, Notre Dame, Indiana, USA 12.6, #2 http://www.ams.org/amsmtgs/2130_program.html May 6-11: International Conference on Fourier and Complex Analysis: Classical Problems - Current View, Protaras, Cyprus 12.4, #1; 12.6 #4 http://www.ucy.ac.cy/~cfca/ June 19-23: FPSAC '06 - 18th Annual International Conference on Formal Power Series and Algebraic Combinatorics, San Diego, California, USA 12.6. #3 http://garsia.math.yorku.ca/fpsac06/ July 10-14: SIAM Annual Meeting, Boston, Massachusetts, USA including Minisymposium on Computation and Application of Special Functions in Scientific Computing 13.1, #3 http://www.siam.org/meetings/an06/index.php July 10-14: Symmetries and Integrability of Difference Equations 7, Melbourne, Australia http://www.physics.utu.fi/theory/SIDE/ August 22-30 International Congress of Mathematicians, Madrid, Spain http://www.icm2006.org/ August 30 - September 1 New Trends in Constructive Approximation Theory, Universidad Carlos III de Madrid, Spain 13.1, #4 September 4-29: Short programme "The Painleve Equations and Monodromy Problems", Newton Institute. Cambridge, UK http://www.newton.cam.ac.uk/programmes/PEM/index.html 12.3 #2 September (exact date to be announced): AMADE 2006, Minsk, Belarus http://www.amade-bsu.com/ 12.3 #3 2007 July (dates to be announced): OPSFA - Orthogonal Polynomials, Special Functions and their Applications, Marseille, France Topic #1 ---------- OP-SF NET 13.1 ----------- January 15, 2006 ~~~~~~~~~~~~~~ From: Peter Clarkson Subject: Message from the Chair Welcome to the first SIAM Activity Group on Orthogonal Polynomials and Special Functions newsletter of 2006. This year the newsletter is edited by Diego Dominici and Martin Muldoon. Many thanks to them for providing the invaluable service to the OPSF Activity Group. This year the SIAM Annual Meeting is to be held in Boston, Massachusetts, USA during the week July 10-14. Vadim Olshevsky (University of Connecticut) is to give a topical lecture related to "Orthogonal Polynomials". Further, as mentioned elsewhere in this newsletter, Pete McCoy and Dan Lozier have submitted a proposal for a Minisymposium on Computation and Application of Special Functions in Scientific Computing during the Annual Meeting with talks by Annie Cuyt (University of Antwerp), Lothar Reichel (Kent State University), Lee Van Buren (Cary, North Carolina) and Jeffrey E. Boisvert (NAVSEA Newport) and Diego Dominici (State University of New York at New Paltz). Many thanks to Pete and Dan for organizing this. I look forward to meeting members of the Activity group at various conferences during this coming year. Topic #2 ---------- OP-SF NET 13.1 ----------- January 15, 2006 ~~~~~~~~~~~~~~ From: Paco Marcellan Subject: Conference on Approximation and Optimization in the Caribbean From April 3-7, 2006, the 8th International Conference on Approximation and Optimization in the Caribbean will be held in Santo Domingo, Dominican Republic. For registration and General Information contact Professor Dr. Rene Piedra rpiedra@pucmm.edu.do Editors' Note: The further information below is from http://www.ams.org/mathcal/info/2006_apr3-7_santodomingo.html Location: Universidad Autonoma de Santo Domingo (UASD), Dominican Republic. Description: This is the first announcement and call for papers. The deadline for submitting papers is January 30th. We are inviting lectures, tutorials, mini-symposia, and contributed talks on the following topics: Approximation: Wavelets, polynomial and rational approximation, splines, orthogonal polynomials, interpolation, asymptotic analysis, radial basis function. Optimization: Continuous and discrete optimization, parametric, stochastic and global optimization, nonlinear equations and inequalities, non- smooth analysis, critical point theory, control theory. Mathematical economics: fixed point theory, equilibria of competitive economics, portfolio problems, cooperative and noncooperative games. Applications: engineering and energy models, robotics, pattern recognition, image restoration, applications in biology, economy and sciences. Organizers: Juergen Guddat, Humboldt-University, Berlin Institute of Mathematics, Unter den Linden 6, D-10099 Berlin, Germany; e-mail: guddat@mathematik.hu-berlin.de; Amado Reyes, Universidad Autonoma de Santo Domingo, Ciudad Universitaria, Departamento de Matematica, Facultad de Ciencias, Santo Domingo, Dominican Republic. Phone: (809)732-2575, Fax (809)732-2556; e-mail: sunlandamado@verizon.net.do Topic #3 ---------- OP-SF NET 13.1 ----------- January 15, 2006 ~~~~~~~~~~~~~~ From: Pete McCoy Subject: Minisymposium at Boston meeting Dan Lozier and I have proposed a Minisymposium on "Computation and Application of Special Functions in Scientific Computing" for the SIAM Annual Meeting in Boston, July 10-14, 2006. Speaker and Titles: "Reliable multiprecision implementation of a class of special functions", Annie Cuyt (University of Antwerp) "Orthogonal polynomials and Gaussian quadrature applied to the solution of large-scale ill-posed problems", Lothar Reichel (Kent State University) "Improved calculation of Mathieu functions of integer order with application to acoustic radiation from pistons on an elliptic cylinder", Lee Van Buren (Cary, North Carolina) and Jeffrey E. Boisvert (NAVSEA Newport) "Asymptotic analysis of the higher derivatives of the inverse of the error function", Diego Dominici (State University of New York at New Paltz) Topic #4 ---------- OP-SF NET 13.1 ----------- January 15, 2006 ~~~~~~~~~~~~~~ From: Paco Marcellan Subject: Madrid conference on Constructive Approximation Theory We have applied for a Satellite Meeting in Madrid on the occasion of ICM2006. The answer from the organizers of ICM will arrive at the end of January. In any case, we will go ahead with it. Thus some members of our SIAG attending the ICM can have the opportunity to remain in Madrid for three extra days of interesting activity. The basic information is: Title: New Trends in Constructive Approximation Theory Dates: August 30-31, September 1, 2006. Location: Universidad Carlos III de Madrid Local Organizing Committee. G. Lopez Lagomasino, F. Marcellan, J. Arvesu, R.Costas, J. Sanchez (Universidad Carlos III de Madrid), W. Van Assche (Katholieke Universiteit Leuven). Coordinator: F. Marcellan Departamento de Matematicas. Universidad Carlos III de Madrid. Avenida de la Universidad 30 28911 Leganos, Spain pacomarc@ing.uc3m.es Invited Speakers. (One hour talks) P. Deift, Courant Institute, New York University, USA. B. Simon, California Institute of Technology, USA. A. Grunbaum, University of California, Berkeley, USA. S. Khruschev, Atilim University, Ankara, Turkey. M. E. H. Ismail, University of Central Florida, USA. A. B. Kuijlaars, Katholieke Universiteit Leuven, Belgium. The aim of this meeting is to present the state of the art as well as new trends in Constructive Approximation with the participation of 7 leading researchers in the subject. We expect the participation of other specialists in the subject as well as young researchers (half hour talks) but with a limit of 60 people. We will focus our attention on several topics related to rational and polynomial approximation, spectral theory of differential operators, inverse problems, analytic properties of orthogonal polynomials and their applications in integrable and dynamical systems. Topics to be covered: Riemann-Hilbert approach to asymptotics of orthogonal polynomials, inverse problems and rational approximation, spectral theory of banded and differential operators, numerical analysis and rational approximation, integrable non linear dynamical systems, eigenvalues of random matrices, non-standard orthogonal polynomials. More information about the meeting (accommodation, registration fees, and scientific program will be available from February 15, 2006. For more information please contact F. Marcellan (pacomarc@ing.uc3m.es) Topic #5 ---------- OP-SF NET 13.1 ----------- January 15, 2006 ~~~~~~~~~~~~~~ From: Cherie Galvez Subject: SimonFest (reminder) Spectral Theory and Mathematical Physics A Conference in Honor of Barry Simon's 60th Birthday Monday, March 27 to Friday, March 31, 2006 http://www.math.caltech.edu/mp2006conf.html Lectures at the conference will present mainly surveys of areas reflecting Barry Simon's scientific interests over the years in Mathematical Physics and Analysis. From the conference home page one can go to a list of speakers and the schedule of their talks. Online registration for this event is open. Payments of registration and the banquet can be made by check or credit card. To register, go to http://www.math.caltech.edu/simonfest/registration.html Information about the program, lodging, transport and directions to Caltech, financial support, etc., can be found at http://www.math.caltech.edu/mp2006conf.html Please feel free to contact Cherie Galvez and Fritz Gesztesy with any further questions about the conference. Fritz Gesztesy On behalf of the Organizing Committee Topic #6 ---------- OP-SF NET 13.1 ----------- January 15, 2006 ~~~~~~~~~~~~~~ From: Tom Koornwinder Subject: Vadim Kuznetsov Vadim B. Kuznetsov (University of Leeds, UK) died suddenly and unexpectedly on 16 December 2005. He was an expert in the field of Integrable Systems. MathSciNet lists 45 publications of his, over the period 1987-2004. Among these there are 13 which have Primary/Secondary MSC number 33. He became best known in special functions by a series of papers together with E.K. Sklyanin on application of the technique of separation of variables in quantum integrable systems in order to obtain an integral transform mapping n-variable Macdonald (or Jack) polynomials to a product of n one-variable functions, and vice versa. Vadim Kuznetsov studied and graduated in Leningrad (now St. Petersburg). In 1993 he came to Amsterdam for a two-year postdoc position with me. After further postdoc positions in Denmark and Canada he settled in Leeds, first in temporary positions obtained by successful grant applications, and eventually in a tenured position as a Reader in Applied Analysis. Vadim was always very kind and enthusiastic. He had 21 coauthors. He was very active in organizing meetings, of which two Proceedings edited by him have appeared. A third volume, the Proceedings of the Workshop on Jack, Hall-Littlewood and Macdonald polynomials (Edinburgh, 23-26 September 2003), to be coedited with Siddharta Sahi, should appear soon in the AMS series Contemporary Mathematics. Vadim is survived by his wife, Olga, and son, Simon. Links: A short obituary provided by the University of Leeds appears at http://campus.leeds.ac.uk/newsincludes/newsitem3495.htm There is a photo of Vadim lecturing during the Workshop on Special Functions, Representation Theory and Applications, Amsterdam, 25-27 August 2003 at http://www.science.uva.nl/~thk/pictures/03-08Asd/PvEB/PvEB-Pages/Image34.html Topic #7 ---------- OP-SF NET 13.1 ----------- January 15, 2006 ~~~~~~~~~~~~~~ From: Pete McCoy Subject: Math on the Web and DLMF Our Activity Group Vice Chair Dr. Daniel W. Lozier of the National Institute of Standards and Technology lectured on "Math on the Web and the Digital Library of Mathematical Functions Project" at the Fall Meeting of the Washington-Baltimore Section of SIAM held at Johns Hopkins University on November 9, 2005. Powerpoint slides from the talk are accessible at http://math.nist.gov/~lozier/talks/. Peter McCoy President, Washington-Baltimore Section of SIAM Topic #8 ---------- OP-SF NET 13.1 ----------- January 15, 2006 ~~~~~~~~~~~~~~ From: J. M. Littleton Subject: SIAM Student Paper Prize - call for submissions The 2006 SIAM STUDENT PAPER PRIZE will be presented at the 2006 SIAM Annual Meeting scheduled for July 10-14, 2006, in Boston, Massachusetts. 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 prize. The purpose of the Student Paper Prize is to recognize outstanding scholarship by students in applied mathematics or computing. 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. Eligibility is restricted to students in good standing who do not yet hold the degree of PhD on the application deadline. Papers entered in the competition must have already been submitted for publication. Submissions may be based on co-authored papers. To enter the competition, a student must submit: (1) an extended abstract, in English, of the paper. The total length of the submitted abstract (including bibliography) may not exceed five pages. (2) a short vita (at most 2 pages). (3) the complete paper. (4) proof that the paper has been submitted for publication. If a paper is co-authored, each PhD-holding co-author must write a letter attesting to the student's (students') pivotal role and contributions to the results. The student's (students') advisor also must submit a letter that: * describes and evaluates the paper's contribution to the literature and the student's (students') contribution to the paper. * verifies that the student (students) meets the conditions of eligibility for the award. All papers and accompanying documentation must be received at the SIAM office on or before February 15, 2006. 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: +1-215-382-9800, ext. 303 E-mail: littleton@siam.org 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. The members of the selection committee are: William L. Briggs (Chair), University of Colorado at Denver; Juergen Gerlach, Radford University; Maeve L. McCarthy, Murray State University. Topic #9 ---------- OP-SF NET 13.1 ----------- January 15, 2006 ~~~~~~~~~~~~~~ From: OP-SF NET Editors Subject: Preprints in arXiv.org The following preprints related to the fields of orthogonal polynomials and special functions were posted or cross-listed to one of the subcategories of arXiv.org during November and December 2005. 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 Particular attention is directed to some review or expository papers: on q-special functions, by Tom Koornwinder http://www.arxiv.org/abs/math.CA/0511148 on orthogonal polynomials by Vilmos Totik http://www.arxiv.org/abs/math.CA/0512424 and on electrostatic models for zeros of polynomials by F. Marcellan, A. Martinez-Finkelshtein, and P. Martinez-Gonzalez http://www.arxiv.org/abs/math.CA/0512293 http://www.arxiv.org/abs/math.CA/0511074 Title: Asymptotic Approximations to Truncation Errors of Series Representations for Special Functions Authors: Ernst Joachim Weniger Comments: 20 pages, LaTeX2e, 0 figures Subj-class: Classical Analysis and ODEs MSC-class: 11M06, 33C05, 33C70 http://www.arxiv.org/abs/math.NT/0511092 Title: A note on S(T) and the zeros of the Riemann zeta-function Authors: D. A. Goldston, S. M. Gonek Comments: 5 pages Subj-class: Number Theory MSC-class: 11M26 http://www.arxiv.org/abs/math.NT/0511130 Title: On the q-Analogue of Gamma Functions and Related Inequalities Authors: Taekyun Kim, C. Adiga Comments: 5 pages Subj-class: Number Theory MSC-class: 33B15 Journal-ref: Jounal of Inequalities in Pure and Applied Mathematics Vol 6(2005), p. 1-5 http://www.arxiv.org/abs/math.NT/0511131 Title: A note on q-analogue of Sandor's functions Authors: Taekyun Kim, C. Adiga, Hung Hun Han Comments: 8 pages Subj-class: Number Theory MSC-class: 33D05, 40A05 http://www.arxiv.org/abs/math.QA/0511138 Title: The Differential equation for Jacobi-Pineiro polynomials Authors: E.Mukhin, A.Varchenko Comments: 4 pages Subj-class: Quantum Algebra http://www.arxiv.org/abs/math.CA/0511148 Title: q-Special functions, an overview Authors: Tom H. Koornwinder Comments: 23 pages Subj-class: Classical Analysis and ODEs MSC-class: 33Dxx http://www.arxiv.org/abs/math.CA/0511149 Title: Quadratic Transformations of the Sixth Painleve' Equation Authors: Raimundas Vidunas, Alexander V. Kitaev Comments: 22 pages Subj-class: Classical Analysis and ODEs MSC-class: 34M55, 33E17 http://www.arxiv.org/abs/math.NT/0511182 Title: A Hybrid Euler-Hadamard product formula for the Riemann zeta function Authors: S. M. Gonek, C. P. Hughes, J. P. Keating Subj-class: Number Theory http://www.arxiv.org/abs/math.NT/0511245 Title: Properties of Coefficients of Certain Linear Forms in Generalized Polylogarithms Authors: Sergey Zlobin Comments: to appear in the special issue of Fundamental and Applied Mathematics dedicated to the 90th birthday of A.B. Shidlovskii Subj-class: Number Theory; Classical Analysis and ODEs MSC-class: 11J72; 11G55; 11M06; 33B30 http://www.arxiv.org/abs/math.CA/0511269 Title: Schur flows and orthogonal polynomials on the unit circle Authors: L. Golinskii Comments: 17 pages Subj-class: Classical Analysis and ODEs; Spectral Theory MSC-class: 42C05; 37K10; 37K15 http://www.arxiv.org/abs/math.CO/0511333 Title: Bisymmetric functions, Macdonald polynomials and sl_3 basic hypergeometric series Authors: S. Ole Warnaar Comments: 48 pages Subj-class: Combinatorics; Quantum Algebra MSC-class: 05E05, 33D67 http://www.arxiv.org/abs/math.CA/0511335 Title: Ramanujan's Harmonic Number Expansion Authors: Mark B. Villarino Comments: 7 pages. Acknowledgements added. Many typos corrected. Parts of the proof rewritten Subj-class: Classical Analysis and ODEs MSC-class: 26D5, 33B15 http://www.arxiv.org/abs/math.AG/0511351 Title: GKZ Hypergeometric Structures Authors: Jan Stienstra Comments: 58 pages, 2 figures, Latex2e, to appear in the proceedings of the Summer School Algebraic Geometry and Hypergeometric Functions in Istanbul in June 2005 Subj-class: Algebraic Geometry MSC-class: 33C70, 14M25 (Primary), 14N35 (Secondary) http://www.arxiv.org/abs/math.QA/0511509 Title: Askey-Wilson relations and Leonard pairs Authors: Raimundas Vidunas Comments: 21 pages Subj-class: Quantum Algebra MSC-class: 33C45, 33D45, 17B37, 05E35 http://www.arxiv.org/abs/math.CA/0511579 Title: Classical elliptic hypergeometric functions and their applications Authors: V.P. Spiridonov Comments: 42 pages, lectures at the workshop "Elliptic integrable systems" (RIMS, Kyoto, November 8-11, 2004) Subj-class: Classical Analysis and ODEs; Mathematical Physics MSC-class: 33E99 Journal-ref: Rokko Lect. in Math. Vol. 18, Dept. of Math, Kobe Univ., 2005, pp. 253--287 http://www.arxiv.org/abs/math.CA/0511604 Title: Hausdorff moments, Hardy spaces and power series Authors: Enrico De Micheli, Giovanni Alberto Viano Comments: 17 pages, 2 Postscript figures Subj-class: Classical Analysis and ODEs; Complex Variables MSC-class: 30B10; 30E05 Journal-ref: J. Math. Anal. Appl. 234 (1999), 265-286 http://www.arxiv.org/abs/math.QA/0511632 Title: Representations of the Quantum Algebra su_q(1,1) and Discrete q-Ultraspherical Polynomials Authors: Valentyna Groza Comments: Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/ Subj-class: Quantum Algebra; Mathematical Physics; Representation Theory Journal-ref: SIGMA, Vol. 1 (2005), Paper 016, 7 pages http://www.arxiv.org/abs/math.FA/0511685 Title: Hypoelliptic Dunkl equations in the space of distributions on $R^d$ Authors: Hatem Mejjaoli (AFHA) Subj-class: Functional Analysis MSC-class: 33C80, 43A32, 44A35, 51F15 http://www.arxiv.org/abs/math.CA/0511709 Title: Non-symmetric Jacobi and Wilson type polynomials Authors: Lizhong Peng, Genkai Zhang Subj-class: Classical Analysis and ODEs; Functional Analysis http://www.arxiv.org/abs/math-ph/0511015 Title: A method to derive explicit formulas for an elliptic generalization of the Jack polynomials Authors: Edwin Langmann Comments: 14 pages, to appear in the proceedings of a workshop on "Jack, Hall-Littlewood and Macdonald polynomials", V.B. Kuznetsov and S. Sahi (eds.), Contemporary Mathematics, AMS Subj-class: Mathematical Physics MSC-class: 82B23, 35Q58, 81Q05 http://www.arxiv.org/abs/math-ph/0511089 Title: Some cubic birth and death processes and their related orthogonal polynomials Authors: Jacek Gilewicz (CPT), Elie Leopold (CPT), Andreas Ruffing (TUM), Galliano Valent (LPTHE) Comments: latex2e, 17 pages Subj-class: Mathematical Physics http://www.arxiv.org/abs/math.CO/0512064 Title: The correlation functions of vertex operators and Macdonald polynomials Authors: Shun-Jen Cheng, Weiqiang Wang Comments: 12 pages Subj-class: Combinatorics; Quantum Algebra http://www.arxiv.org/abs/math.CA/0512142 Title: Boundary conditions associated with the Painlev\'e III' and V evaluations of some random matrix averages Authors: P.J. Forrester, N.S. Witte Subj-class: Classical Analysis and ODEs MSC-class: 15A52;34M55;58F19 http://www.arxiv.org/abs/math.ST/0512224 Title: Approximation Operators, Exponential, q-Exponential, and Free Exponential Families Authors: Wlodzimierz Bryc, Mourad Ismail Subj-class: Statistics MSC-class: 62E10, 41A35, 44A10,33C45 http://www.arxiv.org/abs/math.CA/0512243 Title: R. Fuchs' problem of the Painleve equations from the first to the fifth Authors: Yousuke Ohyama, Shoji Okumura Comments: 23 pages Subj-class: Classical Analysis and ODEs MSC-class: 34M55; 33E17 http://www.arxiv.org/abs/math.CA/0512293 Title: Electrostatic models for zeros of polynomials: old, new, and some open problems Authors: F. Marcellan, A. Martinez-Finkelshtein, P. Martinez-Gonzalez Comments: 23 pages, 2 figures Subj-class: Classical Analysis and ODEs MSC-class: 33C45; 33C47; 31A05; 26C10; 30C15; 42C05 http://www.arxiv.org/abs/math.CA/0512358 Title: Discrete Painlev\'e equations for recurrence coefficients of orthogonal polynomials Authors: Walter Van Assche Comments: 26 pages, 2 figures, submitted for the proceedings of the International Conference on Difference Equations, Special Functions, and Applications, Munich, Germany, July 2005 Subj-class: Classical Analysis and ODEs MSC-class: 34M55; 33C47; 42C05 http://www.arxiv.org/abs/math.CA/0512424 Title: Orthogonal Polynomials Authors: Vilmos Totik Subj-class: Classical Analysis and ODEs MSC-class: 42C05 Journal-ref: Surveys in Approximation Theory, 1 (2005), 70-125 http://www.arxiv.org/abs/math.CA/0512474 Title: Bessel convolutions on matrix cones Authors: Margit Roesler Comments: 33 pages Subj-class: Classical Analysis and ODEs; Representation Theory MSC-class: 33C67, 33C80, 43A62, 43A85 http://www.arxiv.org/abs/math.CO/0512571 Title: Short Proofs of Summation and Transformation Formulas for Basic Hypergeometric Series Authors: Victor J. W. Guo, Jiang Zeng (Universite Claude Bernard Lyon-I) Comments: 17 pages. See also this http URL Subj-class: Combinatorics MSC-class: 33D15; 05A30 http://www.arxiv.org/abs/math-ph/0512005 Title: From asymptotics to spectral measures: determinate versus indeterminate moment problems Authors: Galliano Valent (LPTHE, Lumimath) Comments: Lecture given at the International Mediterranean Congress of Mathematics, Almeria, 6-10 June 2005, latex2e, 16 pages Subj-class: Mathematical Physics http://www.arxiv.org/abs/math-ph/0512006 Title: Heun functions versus elliptic functions Authors: Galliano Valent (LPTHE, Lumimath) Comments: Communication at the International Conference on Difference Equations, Special Functions and Applications, Munich, 25-30 July 2005, latex 2e, 20 pages Subj-class: Mathematical Physics http://www.arxiv.org/abs/math-ph/0512010 Title: New method for evaluating integrals involving orthogonal polynomials: Laguerre polynomial and Bessel function example Authors: A. D. Alhaidari Comments: Abstract does not display the integral result, which is in an image format shown in the Abstract on the manuscript Subj-class: Mathematical Physics http://www.arxiv.org/abs/nlin.SI/0512065 Title: Hyperelliptic Theta-Functions and Spectral Methods Authors: J. Frauendiener, C. Klein Comments: 25 pages, 12 figures Subj-class: Exactly Solvable and Integrable Systems; Algebraic Geometry Journal-ref: J. Comp. Appl. Math., Vol. 167, 193 (2004) http://www.arxiv.org/abs/nlin.SI/0512066 Title: Hyperelliptic Theta-Functions and Spectral Methods: KdV and KP solutions Authors: J. Frauendiener, C. Klein Comments: 16 pages, 8 figures Subj-class: Exactly Solvable and Integrable Systems; Algebraic Geometry http://www.arxiv.org/abs/nlin.SI/0511008 Title: Power solution expansions of the analogue to the first Painleve equation Authors: Aleksandr D. Bruno, Nikolai A. Kudryashov Comments: 27 pages, 3 figures Subj-class: Exactly Solvable and Integrable Systems http://www.arxiv.org/abs/nlin.SI/0511045 Title: Power and non-power expansions of the solutions for the fourth-order analogue to the second Painlev\'{e} equation Authors: Maria V. Demina, Nikolai A. Kudryashov Comments: 34 pages, 8 figures; submitted to Chaos, Solitons & Fractals Subj-class: Exactly Solvable and Integrable Systems http://www.arxiv.org/abs/nlin.SI/0512041 Title: Generating Function Associated with the Hankel Determinant Formula for the Solutions of the Painlev\'e IV Equation Authors: Nalini Joshi, Kenji Kajiwara, Marta Mazzocco Comments: 18 pages Subj-class: Exactly Solvable and Integrable Systems Topic #10 ---------- OP-SF NET 13.1 ----------- January 15, 2006 ~~~~~~~~~~~~~~ From: OP-SF NET Editors 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 Editors are Diego Dominici (dominicd@newpaltz.edu) and 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 #11 ---------- OP-SF NET 13.1 ----------- January 15, 2006 ~~~~~~~~~~~~~~ From: OP-SF NET Editors 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 one of the OP-SF Editors or . Contributions to OP-SF NET 13.2 should be sent by March 1, 2006. 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: Diego Dominici, OP-SF NET co-editor Martin Muldoon, OP-SF NET co-editor Bonita Saunders, Webmaster o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o