o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o May 15, 2004 O P - S F N E T Volume 11, Number 3 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 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. Workshop on Harmonic Analysis and Homogeneous Spaces 2. Obituary: Boris Levitan 3. Truncated q-exponentials 4. SIAM/ACM Prize in CS&E - Call for Nominations 5. hsum, qsum and CAOP updated 6. CMFT Journal 7. Preprints in arXiv.org 8. About the Activity Group 9. Submitting contributions to OP-SF NET Calendar of Events: 2004 May 28-31: International Conference on Mathematics and its Applications in honour of Professor Roderick Wong's 60th Birthday, City University of Hong Kong 11.1 #5 http://www.cityu.edu.hk/ma/frame/conf.html June 16-23: 5th International Conference on Functional Analysis and Approximation Theory (FAAT 2004), Acquafredda di Maratea, Italy 11.1 #3 http://www.dm.unile.it/faat2004 June 19-24: Symmetries and Integrability of Difference Equations Helsinki, Finland 11.2 #1 http://www.esf.org/euresco/04/pc04185 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 http://merlin.us.es/~renato/iwop/ July 8 - July 18: Fifth Summer School on Orthogonal Polynomials and Special Functions, Universidad Carlos III de Madrid, Leganes, Spain 10.6 #4 http://www.uc3m.es/uc3m/dpto/MATEM/summerschool/indice.html July 12-16: SIAM Annual Meeting, Portland, Oregon, USA http://www.siam.org/meetings/an04/ July 10-23: Special Functions in Harmonic Analysis and Applications, Kloster Irsee, Germany 11.1 #4, 11.2 #4 http://ibb.gsf.de/~irsee August 2-4: Conference on "Combinatorics, Special Functions and Physics" in honor of the 75th birthday of James D. Louck, Tianjin, China 11.2 #2 http://www.combinatorics.net/louck75/ August 2-6: XXV International Colloquium on Group Theoretical Methods in Physics, Cocoyoc, México 11.2 #3 http://www.group25.unam.mx August 23-26: Workshop on Harmonic Analysis and Homogeneous Spaces, Leiden, The Netherlands 11.3 #1 http://www.lc.leidenuniv.nl/lc/web/2004/20040823/info.php3?wsid=122 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 11.3 ------------- May 15, 2004 ~~~~~~~~~~~~~~ From: Marcel de Jeu Subject: Workshop on Harmonic Analysis and Homogeneous Spaces This year a workshop "Harmonic Analysis and Homogeneous Spaces" is being organized at Leiden University, Netherlands. The workshop takes place from Monday August 23 through Thursday August 26, 2004, at the Lorentz Center. Due to the tight time schedule, the talks are by invitation only. The speakers are J. Faraut G. Heckman S. Helgason R. Howe T. Kobayashi T. Koornwinder V. Molchanov H. Ochiai B. Oersted G. Olafsson T. Oshima A. Pasquale H. Schlichtkrull A. Springer (to be confirmed) E. Thomas E. van den Ban A. Vershik M. Wakayama G. Zhang For further information about the workshop, and for registration, please visit http://www.lc.leidenuniv.nl/lc/web/2004/20040823/info.php3?wsid=122 The staff of the Lorentz Center will book a hotel room for you with a discount, if a room should be required. For further information about the Lorentz Center and its facilities for hosting such a workshop, visit http://www.lc.leidenuniv.nl/ We also bring it to your attention that on Friday August 27, 2004, there will be a separate special day on the occasion of the 65th birthday of prof.dr. G. van Dijk and his subsequent speech in academia in relation to his retirement. This day is organised by the Mathematical Institute of Leiden University. We hope to welcome you at the workshop. Eric Opdam (University of Amsterdam) Marcel de Jeu (Leiden University) Sander Hille (Leiden University) Erik Koelink (Delft University of Technology) Walter Kosters (Leiden University) Misha Pevzner (Reims University) Fred Bakker (Leiden University) Topic #2 ------------ OP-SF NET 11.3 ------------- May 15, 2004 ~~~~~~~~~~~~~~ From: Richard Askey Subject: Obituary: Boris Levitan From the Star Tribune (Minneapolis, MN) April 12, 2004, Monday, Metro Edition Boris Levitan, mathematician, dies at age 89 Neal Gendler (Staff Writer) Boris Levitan, 89, a world-renowned mathematician and winner of the former Soviet Union's highest civilian honor, the Lenin Prize, died April 4 after suffering a stroke at his home in Minneapolis. He was buried Friday in Adath Chesed Shel Emes cemetery in New Hope. Levitan came to the United States in 1992, after many years of teaching and research at Moscow State University, Russia's highest degree-granting institution. He became an adjunct professor at the University of Minnesota at age 77 and stayed active until about five years ago, when Parkinson's disease made him unable to work. His stepson, Leonid Glazman, is a physics professor at the University of Minnesota. "Professor Levitan was an absolutely outstanding person," said Grigory Barenblatt, a mathematics professor at the University of California at Berkeley. "He was my first mentor." Levitan and Vladimir Marchenko were awarded the Lenin Prize in 1961 for "a great work, the inverse scattering problem," Barenblatt said, adding that it is too complicated to explain, but was "very important in various aspects of physics for the next 50 years." Levitan was born in Berdyansk, in southern Ukraine, and became a doctor of science - a level above an American Ph.D. - at age 26, "which was absolutely unusual," Barenblatt said. "Simultaneously, he received the title of full professor." Levitan's wife, Polina Naiman, also a mathematician, said earning that level of doctorate usually wasn't achieved before the age of 40. Barenblatt said Levitan was "absolutely charming ... he was loved by everybody and had modesty without limits." That modesty almost got him killed. When Germany invaded the Soviet Union in June 1941, Levitan "was summoned to the military commissariat to be drafted," Barenblatt said. "He was asked if he had the title of associate professor. He was so modest he did not say, " 'No, I have the title of full professor.' "His modesty was so great that Naiman only learned of this in a letter from Barenblatt, who heard the story told in Moscow during a 70th birthday celebration for Levitan. As a junior officer, he nearly was shot in a strafing attack so close that he could see the pilot's face. He fought in the Battle of Stalingrad and was removed from combat in 1944 to teach at an artillery academy in Samarkand. After the war, the academy moved to Moscow, but for a Jew to become a professor at the university, "it was almost impossible," Naiman said. Restrictions loosened after Stalin's death, and Levitan was taken onto the faculty in 1961, while still working at the artillery academy part time. "Every, every evening and every free minute was research, research, research," she said. "His life was mathematics." Winning a Lenin Prize in a nation with official and unofficial anti-Semitism also was remarkable, Barenblatt said. But he was among other Jewish recipients whose "work was so strong and important," that giving them the prize "could not be avoided." Levitan's first wife died in 1980, and he and Naiman, widowed in 1968, married in 1983. For about 30 years, Levitan was host of professional seminars on Wednesday and Thursday nights that drew people from across the Soviet Union to talk, make presentations "and see what Levitan will say," Naiman said. He wrote many books, some translated into English. His last was "Inverse Problem of Spectral Analysis of Differential Operators." In addition to Naiman and Glazman, Levitan is survived by a son, Michael of Moscow; a daughter, Janna of Toronto; a stepdaughter, Eva, of Marseilles, France, and four grandchildren. "How lucky I am that I ... not only knew him but had him as my first teacher." Barenblatt said. In America, "I did my best to explain to people that a giant was living among them." But Levitan "didn't have 'sharp elbows.' He didn't shout to everybody, 'I am Levitan!' " Neal Gendler is at ngendler@startribune.com. Copyright 2003 Star Tribune. Republished with permission of Star Tribune, Minneapolis-St. Paul. No further republication or redistribution is permitted without the written consent of Star Tribune. ----------------------------------------- Dick Askey writes: "Levitan was not the first person to deal with generalized translations, that was probably Jean Delsarte, but he was the first to realize how general they could be, and this had an impact on the work in special functions of quite a few people." Topic #3 ------------ OP-SF NET 11.3 ------------- May 15, 2004 ~~~~~~~~~~~~~~ Sender: Christian Krattenthaler Subject: Truncated q-exponentials [The following appeared in opsftalk - Ed.] Here are several questions by Greg Kuperberg. He posted them at another mailing list, and, with his permission, I post them on this list (which seems much more appropriate). ---------- Forwarded message ---------- Date: Thu, 22 Apr 2004 17:25:20 -0700 From: Greg Kuperberg Subject: Truncated q-exponentials Resent-Date: Thu, 22 Apr 2004 19:31:05 -0500 (CDT) Dear dominoers, This isn't really a domino tiling question, but it involves q-hypergeometric series, so it is at least distantly related. I am studying the roots of the polynomial P_n(x) = x^n - x^(n-1)/3 + x^(n-2)/3/15 - x^(n-3)/3/15/63 + ... +- 1/3/15/.../(4^n-1). As Eric Rains pointed out to me, this polynomial is equivalent to a truncated q-exponential series with q=4, which I'll write as exp_q^(n)(x). We have: exp_q^(n)(x) = 1 + x + x^2/(1+q) + x^3/3!_q + ... + x^n/n!_q, so P_n(x) = x^n * exp_q^(n)(1/x/(1-q)). (q=4) I need to know, and can prove, that P_n(x) has n distinct real roots r_1 < ... < r_n (note that it is not true when, say, q=2). I also need to know, and can prove (I think), that r_1^k + r_2^k + ... + r_n^k = (1-q)/(1-q^k) for k <= n. Another interesting set of quantities is the complete symmetric polynomials in r_1,...,r_n. These also seem to be round rational functions of q. Although I'm satisfied enough with my arguments for these facts, I would be interested for references to equivalent things that are already in the literature. For my purpose I also need to know that s_n = sqrt(r_1) + sqrt(r_2) + ... + sqrt(r_n) <= 1 (*) but I am having some trouble proving this. Experiments with Maple show (modulo floating-point uncertainties) that it is true for n <= 50; indeed they indicate that 2^n*(1-s_n) -> .8141277036597754973514955... In fact I conjecture more than this one inequality that I need. I conjecture that sqrt(r_1) + sqrt(r_2) + ... + sqrt(r_{k-1}) <= r_k for k <= n, (**) that 4^n*r_k approaches a limit t_k as n -> infty, that t_k/4^k -> 1/4 as k -> infty, and that the two limits converge rapidly enough to establish (*) and (**). Part of the basis of this belief is the relation P_n(x) = 4^{-n}*P_{n-1}(4*x)*(4*x-1) +- 1/3/15/63/.../(4^n-1)/4^n. The idea is that the correction term is very small, so to first approximation the roots shrink by 4 and 1/4 is added as a new root. Maybe it's not really beyond me to prove enough of this, but with the ideas that came to me so far, it's at best inelegant. Here is my application: I'm trying to match the first n moments of the uniform distribution on [-1,1] by taking a linear combination X of n i.i.d., unbiased, centered Bernoulli random variables. I can show that there is a unique solution; the coefficients are sqrt(r_1),...,sqrt(r_n) above. I want to show that the range of X is a subset of [-1,1], and I also believe that the values of X appears in the natural dyadic order. It looks like something coming from a horseshoe map, although that interpretation hasn't helped me prove anything. Topic #4 ------------ OP-SF NET 11.3 ------------- May 15, 2004 ~~~~~~~~~~~~~~ From: Joanna Littleton Subject: SIAM/ACM Prize in CS&E - Call for Nominations SIAM/ACM Prize in Computational Science and Engineering The SIAM/ACM Prize in Computational Science and Engineering will be awarded for the second time at the SIAM Conference on Computational Science and Engineering to be held February 12-15, 2005, in Orlando, Florida. The prize was established in 2002 and first awarded in 2003. It is awarded every other year by the Society for Industrial and Applied Mathematics (SIAM) and the Association for Computing Machinery (ACM) in the area of computational science in recognition of outstanding contributions to the development and use of mathematical and computational tools and methods for the solution of science and engineering problems. Eligibility The prize is intended to recognize either one individual or a group of individuals for outstanding research contributions to the field of computational science and engineering. The contribution(s) for which the award is made must be publicly available and may belong to any aspect of computational science in its broadest sense. Description of the prize The award will include a total cash prize of $5,000 and a certificate containing the citation. SIAM will reimburse reasonable travel expenses to attend the award ceremony. Nominations A letter of nomination, including a description of the contribution(s) should be sent by July 31, 2004, to: Chair, SIAM/ACM Prize in CS&E c/o Joanna Littleton SIAM 3600 University City Science Center Philadelphia, PA 19104-2688 Selection Committee Members of the selection committee are: Wayne H. Enright (chair), University of Toronto; Steve McCormick, University of Colorado at Boulder; and John B. Bell, Lawrence Berkeley National Laboratory. Topic #5 ------------ OP-SF NET 11.3 ------------- May 15, 2004 ~~~~~~~~~~~~~~ From: Tom Koornwinder and Wolfram Koepf Subject: hsum, qsum and CAOP updated Wolfram Koepf's Maple packages hsum6.mpl and qsum6.mpl for (q-)hypergeometric summation (see OP-SF NET 8.2 #13, March 2001) have now been updated in order to let them work correctly with Maple 9 (and earlier Maple versions, certainly down to Maple 7). The new versions are renamed hsum9.mpl and qsum9.mpl, respectively. The Maple help database maple.hdb for these packages has remained unchanged. The three files can be downloaded from http://www.mathematik.uni-kassel.de/~koepf/Publikationen/#down Rene Swarttouw's 1996 package CAOP for online calculations in Maple of formulas for orthogonal polynomials belonging to the Askey scheme is maintained since 2001 by Tom Koornwinder (ee OP-SF NET 8.6 #14, November 2001). Since then the URL of the CAOP webpage has changed into http://amstel.science.uva.nl:7090/CAOP/ Recently, missing plot files have been added to CAOP (work by Wolfram Koepf and Rene Swarttouw). Also, CAOP is now running in Maple 9 with the package hsum9. Extensions with computations for q-hypergeometric orthogonal polynomials are expected later this year. Topic #6 ------------ OP-SF NET 11.3 ------------- May 15, 2004 ~~~~~~~~~~~~~~ From: CMFT Journal Subject: CMFT Journal COMPUTATIONAL METHODS AND FUNCTION THEORY (CMFT) We would like to introduce the readers of the OPSF-NET to the CMFT Journal a new journal of the Heldermann Verlag, a non profit publisher. The journal has been founded in 2001. CMFT is a new international mathematics journal which publishes carefully selected original research papers in complex analysis (in a broad sense), and on applications or computational methods related to complex analysis. Survey articles of high standard and special current interest can be considered for publication as well. Contributed papers should be written in English (in rare cases exceptions may be considered), and in a lucid, expository style. Papers should normally not exceed 30 printed pages. Editors-in-Chief: S. Ruscheweyh (Wuerzburg), E.B. Saff (Vanderbilt) Homepage: http://www.cmft.de email: office@cmft.de Publisher: Heldermann Verlag, Lemgo (http://www.heldermann.de) One volume (2 issues) per year. 300 pages per issue. Sample copies upon request from the Wuerzburg office or the publisher. --------------------------------------------- COMPUTATIONAL METHODS AND FUNCTION THEORY Volume 3 (2003), Number 1 TABLE OF CONTENTS (Abstracts online available at http://www.heldermann.de/CMF/cmf03.htm) Dieter Gaier's Contributions to Numerical Conformal Mapping, Pages 1-53 N. Papamichael Zeros of Solutions of a Functional Equation, Pages 55-78 W. Bergweiler, W. K. Hayman Approximation of Conformal Mapping via the Szeg"o Kernel Method, Pages 79-94 I. E. Pritsker Majorization of the Critical Points of a Polynomial by Its Zeros, Pages 95-103 G. Schmeisser On a Dyadic Parametrization of Curves, Pages 105-115 J. M. Anderson, F. D. Lesley, V. I. Rotar Airy Solutions of Painlev'e's Second Equation, Pages 117-126 N. Steinmetz Punishing Factors for Angles, Pages 127-141 F. G. Avkhadiev, K.-J. Wirths Sewing Homeomorphisms and Quasidisks, Pages 143-150 F. W. Gehring, K. Hag Shift Generated Haar Spaces on Unbounded, Closed Domains in the Complex Plane, Pages 151-164 M. Giasson, W. Hengartner, G. Opfer Poles and Alternation Points in Real Rational Chebyshev Approximation, Pages 165-177 H.-P. Blatt, R. Grothmann, R. Kovacheva Nonlinear Riemann-Hilbert Problems and Boundary Interpolation, Pages 179-199 G. Semmler, E. Wegert Generalized Iteration, Pages 201-252 R. Br"uck, M. B"uger Decomposition of Continua and Prime Ends, Pages 253-272 J. J. Carmona, Ch. Pommerenke Polynomial Approximation on Compact Sets Bounded by Dini-Smooth Arcs, Pages 273-284 L. Frerick, J. M"uller Universal Transforms of the Geometric Series under Generalized Riesz Methods, Pages 285-297 L. Bernal-Gonz'alez, M. C. Calder'on-Moreno, W. Luh Fixed Points of Univalent Functions, Pages 299-304 T. Gharibyan, G. Schmieder Lacunary P'al-Type Interpolation and Over-Convergence, Pages 305-323 M. G. de Bruin, A. Sharma Curvature Flow in Conformal Mapping, Pages 325-347 Ch. R. Collins, T. A. Driscoll, K. Stephenson Harmonic Approximation on Compact Sets, Pages 349-358 T. Bagby, P. M. Gauthier Uniform and Tangential Approximation on a Stripe by Entire Functions Having Optimal Growth, Pages 359-383 N. Arakelian, H. Shahgholian Uniformly Perfect Subsets of the Real Line and John Domains, Pages 385-396 V. V. Andrievskii COMPUTATIONAL METHODS AND FUNCTION THEORY Volume 3 (2003), Number 2 TABLE OF CONTENTS (Abstracts online available at http://www.heldermann.de/CMF/cmf03.htm) Conformality of the Apollonian Metric, Pages 397-411 Z. Ibragimov A Lower Estimate for the Distance of an Attracting Fixpoint to the Boundary of its Basin via Univalence Radius, Pages 413-424 P. Gumenuk On Power Series Having Sections with only Real Zeros, Pages 425-441 O. M. Katkova, T. Lobova, A. M. Vishnyakova Nonbounded Solutions of the Stationary Schr"odinger Equation on Riemannian Manifolds, Pages 443-451 A. G. Losev, E. A. Mazepa, V. Y. Chebanenko Prolongations and Cyclic Vectors, Pages 453-483 W. T. Ross, H. S. Shapiro Approximation of Univalent Functions by Compositions, Pages 485-499 A. Kuznetsov Topic #7 ------------ OP-SF NET 11.3 ------------- May 15, 2004 ~~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: Preprints in arXiv.org The following preprints related to the fields of orthogonal polynomials and special functions were recently posted or cross-listed to one of the subcategories of arXiv.org. See especially: http://front.math.ucdavis.edu/math.CA http://front.math.ucdavis.edu/math.CO http://front.math.ucdavis.edu/math.QA http://xxx.lanl.gov/archive/solv-int http://www.arXiv.org/abs/math.GM/0403011 Title: Higher Order Recurrences for Analytical Functions of Tchebysheff Type Authors: A.K.Kwasniewski Comments: 14 pages Subj-class: General Mathematics MSC-class: 12Exx:12E10 Journal-ref: Advances in Applied Clifford Algebras, Vol.9 No. 1 (1999) pp. 41-54 http://www.arXiv.org/abs/math.CO/0403017 Title: Combinatorial interpretation of the recurrence relation for fibonomial coefficients Authors: A.K.Kwasniewski Comments: 12 pages, 5 figures Subj-class: Combinatorics MSC-class: 11Bxx: 11B39 http://www.arXiv.org/abs/math.FA/0403025 Title: Operators on Spaces Generated by Infinite Dimensional Appell Polynomials Authors: Eugene Yablonsky Comments: 13 pages Subj-class: Functional Analysis MSC-class: 60H40,46F25 http://www.arXiv.org/abs/math.NT/0403027 Title: Continued Fractions with Multiple Limits Authors: Douglas Bowman, James Mc Laughlin Comments: 29 pages. Updated/new content Subj-class: Number Theory MSC-class: 11A55 http://www.arXiv.org/abs/math.CA/0403049 Title: Convolution operator and maximal function for Dunkl transform Authors: Sundaram Thangavelu, Yuan Xu Comments: 22 pages Subj-class: Classical Analysis and ODEs MSC-class: 42A38, 42B08, 42B15 http://www.arXiv.org/abs/math.CO/0403054 Title: $\psi$-Poisson, $q$-Cigler, $\psi$-Dobinski, $\psi$-Rota and $\psi$-coherent states Authors: A. K. Kwasniewski Comments: 6 pages Subj-class: Combinatorics MSC-class: 05A40, 81S99 http://www.arXiv.org/abs/math.CO/0403064 Title: Two new families of q-positive integers Authors: Sharon J. X. Hou, Jiang Zeng Comments: 12 pages Subj-class: Combinatorics MSC-class: 05A30;33D15 http://www.arXiv.org/abs/math.CA/0403085 Title: Resurgent Deformations for an Ordinary Differential Equation of Order 2 Authors: Eric Delabaere, Jean-Marc Rasoamanana Comments: 49 pages Subj-class: Classical Analysis and ODEs; Complex Variables http://www.arXiv.org/abs/math.CO/0403086 Title: A triple lacunary generating function for Hermite polynomials Authors: Ira M. Gessel, Pallavi Jayawant Comments: 18 pages, 17 figures, submitted Subj-class: Combinatorics MSC-class: 05A15 (Primary) 05A19, 05A40, 33C45 (Secondary) http://www.arXiv.org/abs/math.PR/0403090 Title: Orthogonal polynomial ensembles in probability theory Authors: Wolfgang Koenig Comments: 46 pages Subj-class: Probability Theory MSC-class: 15A52, 33C45, 60-02, 60C05, 60F05, 60K35, 82C22, 82C41 http://www.arXiv.org/abs/math.CA/0403159 Title: On discrete q-ultraspherical polynomials and their duals Authors: N. M. Atakishiyev, A. U. Klimyk Comments: 14 pages Subj-class: Classical Analysis and ODEs MSC-class: 33D80, 33D45, 17B37 http://www.arXiv.org/abs/math.CO/0403262 Title: The Number of Convex Polyominoes and the Generating Function of Jacobi Polynomials Authors: Victor J. W. Guo, Jiang Zeng Comments: 8 pages Subj-class: Combinatorics MSC-class: 05A15, 05A19 http://www.arXiv.org/abs/math.RT/0403277 Title: Singular polynomials for the symmetric groups Authors: Charles F. Dunkl Comments: 22 pages Subj-class: Representation Theory; Quantum Algebra MSC-class: Primary 20C30, 05E10; Secondary 16S32 http://www.arXiv.org/abs/math.CO/0403331 Title: q-Analogs of classical 6-periodicity: from Euler to Chebyshev Authors: Boris A Kupershmidt Comments: Archive version is already official. Published by JNMP at http://www.sm.luth.se/math/JNMP/ Subj-class: Combinatorics Journal-ref: J. Nonlinear Math. Phys., volume 10, no. 3 (2003) 318-339 http://www.arXiv.org/abs/math.CA/0403344 Title: Chebyshev Series Expansion of Inverse Polynomials Authors: Richard J. Mathar Comments: LaTeX 13 pages, no figures. Corrected typos in Eq (1.2), after Eq (2.7) in Eq (3.15) Subj-class: Classical Analysis and ODEs MSC-class: 33C45 (Primary), 42C20, 41A50 (Secondary) http://www.arXiv.org/abs/math.CO/0403353 Title: Hypergeometric Series and Harmonic Number Identities Authors: Wenchang Chu, Livia De Donno Comments: 14 pages Subj-class: Combinatorics MSC-class: 33C20, 05A10 http://www.arXiv.org/abs/math.NA/0403355 Title: Using Wavelets Based on B-splines for Calculation of the Hankel Transform Authors: Eugene B. Postnikov Subj-class: Numerical Analysis MSC-class: 44A15; 65R10 http://www.arXiv.org/abs/math.NT/0403457 Title: Connection formulas for the confluent hypergeometric functions and the functional relation for the Hurwitz zeta function Authors: Michitomo Nishizawa, Kimio Ueno Comments: 4 pages Subj-class: Number Theory; Classical Analysis and ODEs MSC-class: 11M35, 33E20 http://www.arXiv.org/abs/math.CA/0403481 Title: Some curious q-series expansions and beta integral evaluations Authors: George Gasper, Michael Schlosser Comments: 14 pages, dedicated to Dick Askey Subj-class: Classical Analysis and ODEs MSC-class: 15A09, 33D15, 33E20 (Primary) 05A30 (Secondary) http://www.arXiv.org/abs/math.CA/0403510 Title: Expressions for values of the gamma function Authors: Raimundas Vidunas Comments: 14 pages Subj-class: Classical Analysis and ODEs; Number Theory MSC-class: 33B15 (Primary) 11J91 (Secondary) http://www.arXiv.org/abs/math.CA/0403532 Title: Multiple little q-Jacobi polynomials Authors: Kelly Postelmans, Walter Van Assche Comments: 15 pages Subj-class: Classical Analysis and ODEs MSC-class: 33D45; 42C05 http://www.arXiv.org/abs/math.CA/0403533 Title: Gaussian quadrature for multiple orthogonal polynomials Authors: Jonathan Coussement, Walter Van Assche Comments: 16 pages Subj-class: Classical Analysis and ODEs MSC-class: 41A55; 65D32 http://www.arXiv.org/abs/math-ph/0403029 Title: Eigenvalues of Hermite and Laguerre ensembles: Large Beta Asymptotics Authors: Ioana Dumitriu, Alan Edelman Comments: 15 pages; 17 figures Subj-class: Mathematical Physics MSC-class: 15A52, 46N99 http://www.arXiv.org/abs/math-ph/0403051 Title: Cyclic Identities Involving Ratios of Jacobi Theta Functions Authors: Avinash Khare, Arul Lakshminarayan, Uday Sukhatme Comments: 23 pages, 0 figures Subj-class: Mathematical Physics http://www.arXiv.org/abs/math-ph/0403058 Title: An asymptotic intertwining of the undelayed and delayed Fibonacci numbers Authors: Miloslav Znojil Comments: 11 pages + 3 tables Subj-class: Mathematical Physics MSC-class: 11B39 39A12 http://www.arXiv.org/abs/math-ph/0403059 Title: A q-Generalization of Product Densities and Janossy Functions in Stochastic Point Processes Authors: R.Parthasarathy, R.Sridhar Comments: Latex Subj-class: Mathematical Physics http://www.arXiv.org/abs/nlin.SI/0403036 Title: Hypergeometric solutions to the q-Painlev\'e equations Authors: Kenji Kajiwara, Tetsu Masuda, Masatoshi Noumi, Yasuhiro Ohta, Yasuhiko Yamada Comments: 17 pages Subj-class: Exactly Solvable and Integrable Systems; Algebraic Geometry http://www.arXiv.org/abs/math.CO/0404063 Title: Rational Interpolation and Basic Hypergeometric Series Authors: Amy M. Fu, Alain Lascoux Subj-class: Combinatorics http://www.arXiv.org/abs/math.CA/0404077 Title: Infinite Product Representations for Multiple Gamma Function Authors: Michitomo Nishizawa Comments: 10 pages Subj-class: Classical Analysis and ODEs MSC-class: 33B15;11M35; 11M36; 11M41 http://www.arXiv.org/abs/math.QA/0404079 Title: Coincident root loci and Jack and Macdonald polynomials for special values of the parameters Authors: M. Kasatani, T. Miwa, A.N. Sergeev, A.P. Veselov Comments: 19 pages, Proceedings of "Jack and Macdonald polynomials" meeting (ICMS, Edinburgh, September 2003) Subj-class: Quantum Algebra; Combinatorics MSC-class: 33D52, 05E05 http://www.arXiv.org/abs/math.CA/0404293 Title: Some remarks on a proof of geometrical Paley-Wiener theorems for the Dunkl transform Authors: Marcel de Jeu Comments: LaTeX, 2 pages. Submitted to Integral Transforms and Special Functions Subj-class: Classical Analysis and ODEs; Representation Theory MSC-class: 33C52; 33C67 http://www.arXiv.org/abs/math.QA/0404307 Title: Introduction to Double Hecke algebras Authors: Ivan Cherednik Comments: LaTeX, 7 figures Subj-class: Quantum Algebra; Combinatorics; Geometric Topology; Mathematical Physics; Representation Theory MSC-class: 22Exx,33Cxx,33Dxx,81Rxx,05E05,11T24,14H52,14J25,14M12, 14M15,16S90, 20B30,20F34,20F36,55R80 http://www.arXiv.org/abs/math.CA/0404439 Title: Paley-Wiener theorems for the Dunkl transform Authors: Marcel de Jeu Comments: LaTeX, 26 pages, no figures Subj-class: Classical Analysis and ODEs; Representation Theory MSC-class: 33C52; 43A32, 33C80, 22E30 http://www.arXiv.org/abs/math.CA/0404506 Title: Asymptotics of the orthogonal polynomials for the Szego class with a polynomial weight Authors: S. Denisov, S. Kupin Comments: revised version Subj-class: Classical Analysis and ODEs; Complex Variables MSC-class: 47B36, 42C05 http://www.arXiv.org/abs/math.NT/0404523 Title: An essay on irrationality measures of logarithms Authors: Wadim Zudilin (Moscow) Comments: 14 pages, AmSTeX Subj-class: Number Theory; Classical Analysis and ODEs MSC-class: 11J82 (Primary), 11J72, 33C05, 33C65 (Secondary) http://www.arXiv.org/abs/math.SP/0404535 Title: Limits of Zeros of Orthogonal Polynomials on the Circle Authors: Barry Simon, Vilmos Totik Subj-class: Spectral Theory MSC-class: 42C05 http://www.arXiv.org/abs/math.CA/0404558 Title: Some remarks on stable densities and operators of fractional differentiation Authors: Yuri A. Neretin Subj-class: Classical Analysis and ODEs; Functional Analysis MSC-class: 33C60, 26A33, 44A10, 60E07 http://www.arXiv.org/abs/math.GM/0404560 Title: A Function in the Congruence Theory Authors: Florentin Smarandache Comments: 8 pages Subj-class: General Mathematics MSC-class: 33B99, 11A25, 11A07 Journal-ref: Published in Libertas Mathematica, University of Texas at Arlington, Vol. XII, pp. 181-185, 1992 http://www.arXiv.org/abs/hep-th/0404043 Title: Central charges, symplectic forms, and hypergeometric series in local mirror symmetry Authors: Shinobu Hosono Comments: 34 pages, AMSLatex Subj-class: High Energy Physics - Theory; Algebraic Geometry http://www.arXiv.org/abs/math-ph/0404012 Title: Closed form analytic solutions for dilogarithmic double integrals Authors: Michael M. Tung, Lucas Jódar Comments: plain TeX, 6 pages, 3 figures, to appear in Appl. Math. Lett Subj-class: Mathematical Physics http://www.arXiv.org/abs/math-ph/0404014 Title: New closed form solutions in terms of pFq for families of the General, Confluent and Bi-Confluent Heun differential equations Authors: E.S. Cheb-Terrab Comments: 16 pages, related to math.GM/0002059 and math-ph/0402040, submitted to the Journal of Physics A: Mathematical and General. See also http://lie.uwaterloo.ca/odetools.htm Subj-class: Mathematical Physics MSC-class: 34A05 (Primary) 34A34 (Secondary) http://www.arXiv.org/abs/math-ph/0404076 Title: On Generalized Functions in Adelic Quantum Mechanics Authors: Branko Dragovich Comments: 9pages Subj-class: Mathematical Physics MSC-class: 11R56, 46F99, 81Q99 Journal-ref: Integral Transforms and Special Functions 6 (1998) 197-203 http://www.arXiv.org/abs/nlin.SI/0404026 Title: Riemann-Hilbert problem approach to the "physical" solution of the Painleve first equation Authors: Andrei A. Kapaev Comments: 19 pages, 4 figures Subj-class: Exactly Solvable and Integrable Systems Topic #8 ------------ OP-SF NET 11.3 ------------- May 15, 2004 ~~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: About the Activity Group The SIAM Activity Group on Orthogonal Polynomials and Special Functions consists of a broad set of mathematicians, both pure and applied. The Group also includes engineers and scientists, students as well as experts. We have around 140 members scattered about in more than 20 countries. Whatever your specialty might be, we welcome your participation in this classical, and yet modern, topic. Our WWW home page is: http://math.nist.gov/opsf/ This is a convenient point of entry to all the services provided by the Group. Our Webmaster is Bonita Saunders (bonita.saunders@nist.gov). The Activity Group sponsors OP-SF NET, which is transmitted periodically by SIAM. It is provided as a free public service; membership in SIAM is not required. The OP-SF Net Editor is Martin Muldoon (muldoon@yorku.ca). To receive the OP-SF NET, send your name and email address to poly-request@siam.org. Back issues can be obtained at the WWW addresses: http://staff.science.uva.nl/~thk/opsfnet http://www.math.ohio-state.edu/JAT/DATA/OPSFNET/opsfnet.html http://math.nist.gov/opsfnet/archive For several years the Activity Group sponsored a printed Newsletter, most recently edited by Rafael Yanez. Back issues are accessible at: http://www.mathematik.uni-kassel.de/~koepf/siam.html Given the widespread availability of email and the Internet, the need for the printed Newsletter has decreased. Discussions are underway concerning whether an annual printed Newsletter or Annual Report should be instituted. SIAM has several categories of membership, including low-cost categories for students and residents of developing countries. For current information on SIAM and Activity Group membership, contact: Society for Industrial and Applied Mathematics 3600 University City Science Center Philadelphia, PA 19104-2688 USA phone: +1-215-382-9800 email: service@siam.org WWW : http://www.siam.org http://www.siam.org/membership/outreachmem.htm Finally, the Activity Group operates an email discussion group, called OP-SF Talk. To subscribe, send the email message subscribe opsftalk Your Name to listproc@nist.gov. To contribute an item to the discussion, send email to opsftalk@nist.gov. The archive of all messages is accessible at: http://math.nist.gov/opsftalk/archive Topic #9 ------------ OP-SF NET 11.3 ------------- May 15, 2004 ~~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: Submitting contributions to OP-SF NET To contribute a news item to OP-SF NET, send email to poly@siam.org with a copy to the OP-SF Editor . Contributions to OP-SF NET 11.4 should be sent by July 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