o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o November 15, 2005 O P - S F N E T Volume 12, Number 6 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Editor: Martin Muldoon muldoon@yorku.ca The Electronic News Net of the SIAM Activity Group on Orthogonal Polynomials and Special Functions Please send contributions to: poly@siam.org Subscribe by mailing to: poly-request@siam.org or to: listproc@nist.gov o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o Today's Topics: 1. Co-editor of OP-SF NET 2. Notre Dame Special Session 3. FPSAC '06 - Second announcement 4. Protaras Conference 5. Report on Munich Conference 6. Book by Ismail on Classical and Quantum Orthogonal Polynomials 7. Award of SASTRA Ramanujan Prize 8. Call for Nominations - George Polya Prize 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 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 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/ 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 (Note correction of date from earlier versions of this Calendar) 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 12.6 ----------- November 15, 2005 ~~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: Co-editor of OP-SF NET Diego Dominici, SUNY at New Paltz, has been appointed a co-editor of OP-SF NET with effect from January 1, 2006. Diego has research interests in asymptotic methods, perturbation methods, special functions, partial differential equations, difference equations, stochastic models, inverse functions, and symbolic computation. He received his Licenciado (BS + MS) in Pure Mathematics from Universidad de Buenos Aires in 1998 and his PhD. in Applied Mathematics from the University of Illinois at Chicago in 2003. In 2004, he won SIAM's Richard C. DiPrima Prize which is awarded every two years based on an outstanding doctoral dissertation in applied mathematics. I would like to welcome Diego to this position and look forward to working with him. Topic #2 ---------- OP-SF NET 12.6 ----------- November 15, 2005 ~~~~~~~~~~~~~~ From: Diego Dominici Subject: Notre Dame Special Session The 2006 Spring Central Sectional Meeting of the American Mathematical Society, to be held at Notre Dame, Indiana, April 8-9, 2006 will include a Special Session on "Special Functions and Orthogonal Polynomials" organized by Diego Dominici, SUNY at New Paltz. More information on the meeting will be found at http://www.ams.org/amsmtgs/2130_program.html. Topic #3 ---------- OP-SF NET 12.6 ----------- November 15, 2005 ~~~~~~~~~~~~~~ From: Mike Zabrocki Subject: FPSAC '06 - Second announcement =============================================== 18th Annual International Conference on Formal Power Series and Algebraic Combinatorics =============================================== FPSAC'06 =============================================== June 19-23, 2006 San Diego, California USA =============================================== Second announcement -- Call for papers Topics All aspects of combinatorics and their relations with other parts of mathematics, physics, computer science and biology. Conference program Invited lectures, contributed presentations, poster session, problem session and software demonstrations. As usual there will be no parallel sessions. Official languages The official languages of the conference are English and French. Invited Speakers Marge Bayer (University of Kansas) Fan Chung (UC San Diego) Jim Haglund (University of Pennsylvania) Tom Koornwinder (Universiteit van Amsterdam) Seok-Jin Kang (Seoul National University) Nigel Ray (University of Manchester) Bruce Sagan (Michigan State University) Michelle Wachs (University of Miami) Call for papers and posters Authors are invited to submit extended abstracts of at most twelve pages by November 15, 2005. To submit papers please visit the conference web site http://garsia.math.yorku.ca/fpsac06/ . Author instructions can also be found at the conference web site. The submitted papers should begin with a short abstract written both in English and in French (translation provided if necessary). Authors should indicate the mode of presentation which they consider appropriate for their paper, i.e. lecture or poster session. The notifications of acceptance are scheduled for February 15, 2006. Important Note: Each submitted abstract must be prepared in accordance with AMS-Latex (see http://www.ams.org/tex/). Authors are encouraged to use the LaTeX template which will be provided on the 'Instruction for Authors' section of the conference web site. Open problem session Contributions to the problem session are invited in advance of the conference dates. People interested in submitting a problem in advance should submit it via http://garsia.math.yorku.ca/fpsac06/ before June 1, 2006. Software demonstrations Demonstrations of software relevant to the topics of the conference are encouraged. People interested in giving a software demonstration should submit through our website before February 15, 2006 a paper briefly explaining the software, and including the hardware requirements. Graduate student papers In an ongoing FPSAC tradition, an award will be made for the best paper submitted by a graduate student. Students submitting extended abstracts are invited to indicate their eligibility for this award. Participant support Limited funds are available for partial support of participants, in particular for students and junior scientists. Requests should contain a letter of recommendation and include the estimated transportation and living expenses for the duration of the conference as well as the amount of any support available from other sources. All requests should be sent by March 1, 2006 through the conference web site or by postal mail. See the conference website for details. Location The conference will take place in San Diego, California at the Catamaran Resort Hotel in Pacific Beach. An opening reception is scheduled for Sunday, June 18, 2006. Accommodation The Catamaran Resort Hotel is the official hotel for the conference as well as the conference location. A special rate has been arranged for conference attendees. Further information All important information concerning FPSAC'06 can be found on the conference web site at http://garsia.math.yorku.ca/fpsac06/ More details will be given in future announcements. Please direct further questions to fpsac06@mathstat.yorku.ca Registration Registration fee before April 1, 2006: US$250 (students, US$125) Registration fee on or after April 1, 2006: US$325 (students, US$170) Summary of important dates Submission of abstracts: November 15, 2005 Notification of acceptance: February 15, 2006 Requests for support: March 1, 2006 Reduced registration fees: April 1, 2006 Conference begins: June 19, 2006 Program Committee ----------------- Francois Bergeron (UQAM) (chair) Jeff Remmel (UC San Diego) (co-chair) Nantel Bergeron (York University) Miklos Bona (University of Florida) Bill Chen (Nankai University) Joseph Kung (University of North Texas) Roberto Mantaci (Universite Paris 7) Jennifer Morse (University of Miami) Rosa Orellana (Dartmouth College) Andrew Rechnitzer (University of Melbourne) Manfred Schocker (University of Wales Swansea) Hugh Thomas (University of New Brunswick) Mike Zabrocki (York University) Organizing Committee -------------------- Nantel Bergeron (York University) Sara Faridi (Dalhousie University) Christophe Hohlweg (The Fields Institute) Isaiah Lankham (UC Davis) Marni Mishna (Simon Fraser University) Rosa Orellana (Dartmouth College) Andrew Rechnitzer (University of Melbourne) Tom Roby (University of Connecticut) Mercedes Rosas (Universidad de Sevilla) Jeff Remmel (UC San Diego) (co-chair) Mike Zabrocki (York University) (co-chair) Topic #4 ---------- OP-SF NET 12.6 ----------- November 15, 2005 ~~~~~~~~~~~~~~ From: Stamatis Koumandos Subject: Protaras Conference The International Conference "Fourier and Complex Analysis: Classical Problems - Current View" to be held in Protaras, Cyprus, May 6-11, 2006, was announced in OP-SF NET 12.4, Topic #1. This announcement contains additional information as well as the URL site of the conference for online registration. We ask the colleagues who want to give a presentation talk to register as soon as possible, since the number of slots is limited. There will be 2 conference dinners, on the 7th and 10th of May. If somebody wants to extend his/her stay, it can be done with the preferential rates we have obtained. The online registration for the conference will be opened on 18th October at the link: http://www.ucy.ac.cy/~cfca/ We kindly ask you to fill up the following two forms: 1) Registration for the conference. The registration fee is 65 EUR if paid before March 15, 2006 and 75 EUR if paid after that date. It includes the conference dinners and the services during coffee breaks and book of abstracts. This 75 EUR can be paid upon registration at the conference, but not later than the 7th of May. 2) Hotel booking form in the home page http://www.ucy.ac.cy/~cfca/Registration/registration.htm We urge you to reserve rooms as early as possible since we have a preferential rates of about 28 euro a day (half-board) for a hotel, 50 meters from the seashore. The hotel is a 4* Hotel Apartments, but to get a sound financial offer we agreed to the change of towels and linen every second day. The number of rooms is limited, and will be reserved on a first come-first served basis. You may find more detailed information regarding registration, deadlines, registration fee, invited speakers, organizing and scientific committee, local information etc. at http://www.ucy.ac.cy/~cfca/ which is the home page of the meeting. On behalf of the Organizing Committee, Stamatis Koumandos Department of Mathematics and Statistics The University of Cyprus P.O. Box 20537 1678 Nicosia CYPRUS Telephone: + 357 22892622 FAX: + 357 22892601 email: skoumand@ucy.ac.cy http://www.mas.ucy.ac.cy Topic #5 ---------- OP-SF NET 12.6 ----------- November 15, 2005 ~~~~~~~~~~~~~~ From: Jeff Geronimo Subject: Report on Munich Conference The International Conference of Difference Equations, Special Functions and Applications took place July 25-30, 2005 in Munich Germany. The conference was organized by Bernd Aulbach, Peter Kloeden, Rupert Lasser, Frank Lasser, and Andreas Ruffing. The conference was dedicated to Bernd Aulbach who unfortunately and unexpectedly passed away last January. The conference was a joint meeting of three groups Orthogonal polynomials and Special Functions (OPSFA), International Society of Difference Equations (ISDE) and Symmetries and Integrability of Difference Equations (SIDE). There were over three hundred participants and one hundred and ninety talks. The hour talks that were of special interest to the OPSFA community were give by Berezansky (The complex moment problem), Berg (Logarithmic order and type of entire functions associated with the indeterminate moment problem), Simon (Zeros of polynomials orthogonal on the unit circle), van Doorn (Orthogonal polynomials and birth-death processes with killing), Everitt (Fourth-order Bessel-type special functions), Geronimo (Two variable orthogonal polynomials and factorization), Hayman (Zeros of a q-Bessel function and some related functions), Ismail (The Ramanujan continued fractions), Koepf (Computer algebra methods for orthogonal polynomials), Marcellan (Polynomials orthogonal with respect to a Sobolev inner product), Noumi (Hypergeometric tau-functions for the elliptic difference Painleve equation), Ricci (Multi-variable Gould-Hopper and Laguerre polynomials), Rains (Elliptic analogs of multivariate beta integrals), Saff (Discretizing Manifolds via minimum energy points), Simon (Zeros of orthogonal polynomials), Stahl (Orthogonal polynomials, Pade Approximants, and sets of minimal capacity), Valent (Heun functions verses elliptic functions), Van Assche (Orthogonal polynomials recurrence relations and difference equations), Zhedanov (Explicit interpolation tables and special functions). There will be a conference proceedings. Topic #6 ---------- OP-SF NET 12.6 ----------- November 15, 2005 ~~~~~~~~~~~~~~ From: Dan Lozier Subject: Book by Ismail on Classical and Quantum Orthogonal Polynomials The following information is from the web site http://www.cambridge.org/ Classical and Quantum Orthogonal Polynomials in One Variable Mourad E. H. Ismail, University of South Florida This is first modern treatment of orthogonal polynomials from the viewpoint of special functions. The coverage is encyclopaedic, including classical topics such as Jacobi, Hermite, Laguerre, Hahn, Charlier and Meixner polynomials as well as those (e.g. Askey-Wilson and Al-Salam - Chihara polynomial systems) discovered over the last 50 years; multiple orthogonal polynomials are discussed for the first time in book form. Many modern applications of the subject are dealt with, including birth- and death- processes, integrable systems, combinatorics, and physical models. A chapter on open research problems and conjectures is designed to stimulate further research on the subject. Exercises of varying degrees of difficulty are included to help the graduate student and the newcomer. A comprehensive bibliography rounds off the work, which will be valued as an authoritative reference as well as for graduate teaching. Contents: 1. Preliminaries; 2. Orthogonal polynomials; 3. Differential equations; 4. Jacobi polynomials; 5. Some inverse problems; 6. Discrete orthogonal polynomials; 7. Zeros and inequalities; 8. Polynomials orthogonal on the unit circle; 9. Linearization, connections and integral representations; 10. The Sheffer classification; 11. q-series preliminaries; 12. q-summation theorems; 13. Some q-orthogonal polynomials; 14. Exponential and q-Bessel functions; 15. The Askey-Wilson polynomials; 16. The Askey-Wilson operators; 17. q-Hermite polynomials on the unit circle; 18. Discrete q-orthogonal polynomials; 19. Fractional and q-fractional calculus; 20. Polynomial solutions to functional equations; 21. Some indeterminate moment problems; 22. The Riemann-Hilbert problem; 23. Multiple orthogonal polynomials; 24. Research problems; Bibliography; Index. November 2005 / 0-521-78201-5 / Hardback / $140.00 Series: Encyclopedia of Mathematics and its Applications (No. 98) 688 pages / 1 line diagram / 80 exercises Please visit www.cambridge.org/0521782015 to order a copy. Topic #7 ---------- OP-SF NET 12.6 ----------- November 15, 2005 ~~~~~~~~~~~~~~ From: Tom Koornwinder Subject: Award of SASTRA Ramanujan Prize The 2005 SASTRA Ramanujan Prize will be jointly awarded to Professors Manjul Bhargava (Princeton University) and Kannan Soundarajan (University of Michigan). This annual prize, being awarded for the first time, is for outstanding contributions by individuals not exceeding the age of 32 in areas of mathematics influenced by Ramanujan in a broad sense. For more information, see: http://www.math.ufl.edu/sastra-prize/2005.html" For more information on Manjul Bhargava, see http://www.princeton.edu/pr/pwb/03/1208/1b.shtml Some information on Kannan Soundarajan's research is at http://www.math.lsa.umich.edu/people/facultyDetail.php?id=289 Topic #8 ---------- OP-SF NET 12.6 ----------- November 15, 2005 ~~~~~~~~~~~~~~ From: J. M. Littleton Subject: Call for Nominations - George Polya Prize The George Polya Prize honors the memory of George Polya and is given in even-numbered years for notable contributions in two alternating categories: (1) for a notable application of combinatorial theory; (2) for a notable contribution in another area of interest to George Polya, such as approximation theory, complex analysis, number theory, orthogonal polynomials, probability theory, or mathematical discovery and learning. The 2006 award will be given in the second category listed above, a notable contribution in another area of interest to George Polya. The award will be presented at the 2006 SIAM Annual Meeting scheduled for July 10-14, 2006, in Boston, Massachusetts. Eligibility There are no restrictions except that the prize is broadly intended to recognize specific recent work. Strong preference will be given to selecting one person as the prize winner. Description of Award The award will consist of an engraved medal and a $20,000 cash prize. Travel expenses to the award ceremony will be provided by the prize fund. Nominations A letter of nomination, including a description of achievement(s) should be sent by December 31, 2005, to: George Polya Prize Selection Committee Professor Peter D. Lax, Chair c/o J. M. Littleton SIAM 3600 University City Science Center Philadelphia, PA 19104-2688 USA Telephone: +1-215-382-9800 ext. 303 Fax: +1-215-386-7999 E-mail: littleton@siam.org Selection Committee The members of the selection committee are: Peter Lax (Chair), NYU-Courant Institute; George Andrews, Pennsylvania State University; Carl de Boor, University of Wisconsin-Madison; Jean Taylor, NYU-Courant Institute; Craig A. Tracy, University of California, Davis. Topic #9 ---------- OP-SF NET 12.6 ----------- November 15, 2005 ~~~~~~~~~~~~~~ From: OP-SF NET Editor muldoon@yorku.ca 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.AP/0509057 Title: The Segal-Bargmann transform for the heat equation associated with root systems Authors: Gestur Olafsson, Henrik Schlichtkrull Subj-class: Analysis of PDEs MSC-class: 33C67 http://www.arxiv.org/abs/math.CA/0509058 Title: Differential Recursion Relations for Laguerre Functions on Symmetric Cones Authors: Michael Aristidou, Mark Davidson, Gestur Olafsson Subj-class: Classical Analysis and ODEs MSC-class: 33C45, 43A85 http://www.arxiv.org/abs/math.CA/0509192 Title: Coefficients of Orthogonal Polynomials on the Unit Circle and Higher Order Szego Theorems Authors: Leonid Golinskii, Andrej Zlatos Comments: 21pp Subj-class: Classical Analysis and ODEs; Spectral Theory MSC-class: 42C05 http://www.arxiv.org/abs/math.FA/0509241 Title: Orthogonal polynomials of discrete variable and boundedness of Dirichlet kernel Authors: Ryszard Szwarc Subj-class: Functional Analysis MSC-class: 42C15 http://www.arxiv.org/abs/math.PR/0509270 Title: Brownian motion on time scales, basic hypergeometric functions, and some continued fractions of Ramanujan Authors: Shankar Bhamidi, Steven N. Evans, Ron Peled, Peter Ralph Comments: 31 pages, resubmitted to include an improved uniqueness result suggested to us by Pat Fitzsimmons Subj-class: Probability; Classical Analysis and ODEs http://www.arxiv.org/abs/math.CO/0509281 Title: Nonterminating Basic Hypergeometric Series and the $q$-Zeilberger Algorithm Authors: William Y.C. Chen, Qing-Hu Hou, Yan-Ping Mu Comments: 30 pages Subj-class: Combinatorics MSC-class: 33D15, 33F10 http://www.arxiv.org/abs/math.CO/0509298 Title: Eigenproblem for Jacobi matrices: hypergeometric series solution Authors: Vadim B. Kuznetsov, Evgeny K. Sklyanin Comments: 15 pages Subj-class: Combinatorics; High Energy Physics - Theory; Mathematical Physics; Classical Analysis and ODEs; Exactly Solvable and Integrable Systems MSC-class: 58F07 http://www.arxiv.org/abs/math.CA/0509465 Title: Quadratic transformations and Guillera's formulae for $1/\pi^2$ Authors: Wadim Zudilin (Moscow) Comments: AmSTeX, 6 pages Subj-class: Classical Analysis and ODEs; Number Theory http://www.arxiv.org/abs/math.CA/0509468 Title: A Computer Proof of Turan's Inequality Authors: S. Gerhold, M. Kauers Subj-class: Classical Analysis and ODEs; Combinatorics MSC-class: 26D07; 33C45; 33F10 http://www.arxiv.org/abs/math.NT/0509613 Title: On the alternating sums of powers of consecutive q-integers Authors: Taekyun Kim Comments: 5 pages Subj-class: Number Theory MSC-class: 11B68;11S80 http://www.arxiv.org/abs/math.NT/0509637 Title: Hypergeometric Zeta Functions Authors: Abdul Hassen, Hieu D. Nguyen Comments: 23 pages, 3 figures, 2 tables Subj-class: Number Theory http://www.arxiv.org/abs/math.CO/0509648 Title: An identity involving products of three binomial coefficients Authors: Hao Pan, Zhi-Wei Sun Comments: 4 pages. Prof. Krattenthaler and H. Wilf's comments considered Subj-class: Combinatorics; Number Theory http://www.arxiv.org/abs/math-ph/0509008 Title: Bernoulli-like polynomials associated with Stirling Numbers Authors: Carl M. Bender, Dorje C. Brody, Bernhard K. Meister Comments: 3 pages Subj-class: Mathematical Physics http://www.arxiv.org/abs/math-ph/0509013 Title: Ince's limits for confluent and double-confluent Heun equations Authors: B. D. Bonorino Figueiredo Comments: Submitted to Journal of Mathematical Physics Subj-class: Mathematical Physics http://www.arxiv.org/abs/math-ph/0509021 Title: Hermite and Laguerre $\beta$-ensembles: asymptotic corrections to the eigenvalue density Authors: Patrick Desrosiers, Peter J. Forrester Comments: 26 pages, 6 figures Subj-class: Mathematical Physics MSC-class: 15A52, 41A60, 33D52 http://www.arxiv.org/abs/math-ph/0509029 Title: From Random Matrices to Quasiperiodic Jacobi Matrices via Orthogonal Polynomials Authors: Leonid Pastur (Institute for Low Temperature Physics, Kharkiv, Ukraine) Subj-class: Mathematical Physics MSC-class: 15A52; 11C08; 11C20 http://www.arxiv.org/abs/math-ph/0509035 Title: Integrals involving triplets of Jacobi and Gegenbauer polynomials and some 3j-symbols of SO(n), SU(n) and Sp(4) Authors: S. Alisauskas Comments: 28 pages, Chapter 9 (invited contribution) in Studies of Mathematical Physics Research, Ed. Ch. V.Benton (Nova Science Publ., Hauppauge NY), pp. 203--241, 2004 Subj-class: Mathematical Physics http://www.arxiv.org/abs/math-ph/0509039 Title: Jack polynomials in superspace: combinatorial orthogonality Authors: Patrick Desrosiers, Luc Lapointe, Pierre Mathieu Comments: 22 pages, this supersedes the second part of math.CO/0412306 Subj-class: Mathematical Physics; Combinatorics http://www.arxiv.org/abs/math-ph/0509043 Title: Perturbed Hankel Determinants Authors: Estelle Basor, Yang Chen Comments: 10 pages Subj-class: Mathematical Physics http://arxiv.org/abs/math.CA/0510050 Title: Some observations on a Kapteyn series Authors: Diego Dominici Subj-class: Classical Analysis and ODEs MSC-class: 42C10 (Primary) 30B50, 33C10 (Secondary) http://arxiv.org/abs/math.PR/0510153 Title: q-Gaussian distributions. On calculus of measures orthogonalizing q-Hermite Polynomials Authors: Pawel J. Szablowki Comments: 8 pages Subj-class: Probability; Statistics MSC-class: 62E17;60E05;68U20;65C05 http://arxiv.org/abs/math.SP/0510219 Title: On a new asymptotic problem in the scattering setting Authors: F. Peherstorfer, A. Volberg, P. Yuditskii Subj-class: Spectral Theory; Mathematical Physics http://arxiv.org/abs/math.PR/0510240 Title: Distributional transformations, orthogonal polynomials, and Stein characterizations Authors: Larry Goldstein, Gesine Reinert Comments: 26 pages Subj-class: Probability MSC-class: 60E05; 60E10 Journal-ref: Journal of Theoretical Probability (2005), vol 18, pp. 185-208 http://arxiv.org/abs/math.CA/0510249 Title: Estimates of parabolic cylinder functions on the real axis Authors: Alexis Pokrovski Comments: 25 pages, 5 PostScript figures Subj-class: Classical Analysis and ODEs MSC-class: 34M60 (Primary), 34E20 (Secondary) http://arxiv.org/abs/math.CA/0510278 Title: Type II Hermite-Pad\'e approximation to the exponential function Authors: A.B.J. Kuijlaars (Leuven), H. Stahl (Berlin), W. Van Assche (Leuven), F. Wielonsky (Lille) Comments: 20 pages, 5 figures Subj-class: Classical Analysis and ODEs; Complex Variables http://arxiv.org/abs/math.CA/0510341 Title: Some remarks on the Wu-Sprung potential. Preliminary report Authors: Diego Dominici Comments: 11 pages, 6 figures Subj-class: Classical Analysis and ODEs http://arxiv.org/abs/math.NT/0510481 Title: Evolution Equations and Functions of Hypergeometric Type over Fields of Positive Characteristic Authors: Anatoly N. Kochubei Subj-class: Number Theory; Rings and Algebras MSC-class: 12H99; 33E50; 16S32 http://arxiv.org/abs/math.NT/0510530 Title: Large gaps between the zeros of the Riemann zeta function Authors: Nathan Ng Comments: 39 pages Subj-class: Number Theory MSC-class: 11M26,11M6 http://arxiv.org/abs/math.NT/0510570 Title: An explicit zero-free region for the Dirichlet L-functions Authors: Habiba Kadiri Comments: 32 pages Subj-class: Number Theory MSC-class: 11M26 http://arxiv.org/abs/math.CA/0510585 Title: Sharp Bounds for the Harmonic Numbers Authors: Mark B. Villarino Comments: 7 pages Subj-class: Classical Analysis and ODEs MSC-class: 26D15 http://arxiv.org/abs/math.CA/0510627 Title: On Euler-Imshenetsky-Darboux transformation of second-order linear differential equations Authors: Lev M. Berkovich, Simeon A. Evlakhov Subj-class: Classical Analysis and ODEs MSC-class: 34C20 (Primary), 34-04, 47E05 (Secondary) http://arxiv.org/abs/cs.NA/0510051 Title: Numerical resolution of some BVP using Bernstein polynomials Authors: Gianluca Argentini Comments: 7 pages, 3 figures Subj-class: Numerical Analysis; Mathematical Software; Computational Physics; Classical Analysis and ODEs ACM-class: G.1.7 http://arxiv.org/abs/math-ph/0510012 Title: Asymptotics of orthogonal polynomials via the Koosis theorem Authors: F. Nazarov, A. Volberg, P. Yuditskii Subj-class: Mathematical Physics; Spectral Theory MSC-class: 30C60, 42B20, 42C15 http://arxiv.org/abs/math-ph/0510019 Title: Limit periodic Jacobi matrices with a singular continuous spectrum and the renormalization of periodic matrices Authors: F. Peherstorfer, A. Volberg, P. Yuditskii Subj-class: Mathematical Physics; Spectral Theory MSC-class: 42B20, 42C15, 42A50, 47B35, 47B38 http://arxiv.org/abs/math-ph/0510076 Title: On the characteristic exponents of Floquet solutions to the Mathieu equation Authors: Jan Eric Str/"ang Subj-class: Mathematical Physics MSC-class: 33E10; 40A25 http://arxiv.org/abs/math-ph/0510080 Title: Multipole expansions in four-dimensional hyperspherical harmonics Authors: A.V. Meremianin Comments: 19 pages, no figures Subj-class: Mathematical Physics MSC-class: 33C55 http://arxiv.org/abs/math-ph/0510094 Title: Associated hypergeometric-type functions and coherent states Authors: Nicolae Cotfas Comments: 6 pages in LaTeX2e Subj-class: Mathematical Physics MSC-class: 33C45; 81R30; 81Q60 Topic #10 ---------- OP-SF NET 12.6 ----------- November 15, 2005 ~~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: About the Activity Group The SIAM Activity Group on Orthogonal Polynomials and Special Functions consists of a broad set of mathematicians, both pure and applied. The Group also includes engineers and scientists, students as well as experts. We have around 140 members scattered about in more than 20 countries. Whatever your specialty might be, we welcome your participation in this classical, and yet modern, topic. Our WWW home page is: http://math.nist.gov/opsf/ This is a convenient point of entry to all the services provided by the Group. Our Webmaster is Bonita Saunders (bonita.saunders@nist.gov). The Activity Group sponsors OP-SF NET, which is transmitted periodically by SIAM. It is provided as a free public service; membership in SIAM is not required. The OP-SF Net Editor is Martin Muldoon (muldoon@yorku.ca). To receive the OP-SF NET, send your name and email address to poly-request@siam.org. Back issues can be obtained at the WWW addresses: http://staff.science.uva.nl/~thk/opsfnet http://www.math.ohio-state.edu/JAT/DATA/OPSFNET/opsfnet.html http://math.nist.gov/opsfnet/archive For several years the Activity Group sponsored a printed Newsletter, most recently edited by Rafael Yanez. Back issues are accessible at: http://www.mathematik.uni-kassel.de/~koepf/siam.html Given the widespread availability of email and the Internet, the need for the printed Newsletter has decreased. Discussions are underway concerning whether an annual printed Newsletter or Annual Report should be instituted. SIAM has several categories of membership, including low-cost categories for students and residents of developing countries. For current information on SIAM and Activity Group membership, contact: Society for Industrial and Applied Mathematics 3600 University City Science Center Philadelphia, PA 19104-2688 USA phone: +1-215-382-9800 email: service@siam.org WWW : http://www.siam.org http://www.siam.org/membership/outreachmem.htm Finally, the Activity Group operates an email discussion group, called OP-SF Talk. To subscribe, send the email message subscribe opsftalk Your Name to listproc@nist.gov. To contribute an item to the discussion, send email to opsftalk@nist.gov. The archive of all messages is accessible at: http://math.nist.gov/opsftalk/archive Topic #11 ---------- OP-SF NET 12.6 ----------- September 15, 2005 ~~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: Submitting contributions to OP-SF NET To contribute a news item to OP-SF NET, send email to poly@siam.org with a copy to the OP-SF Editor . Contributions to OP-SF NET 13.1 should be sent by January 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. 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