o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o July 15, 2005 O P - S F N E T Volume 12, Number 4 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 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. Conference on Fourier and Complex Analysis 2. "Liber Amicorum" for Nico Temme 3. Surveys in Approximation Theory 4. Book on Constructive Approximation 5. Preprints in arXiv.org 6. About the Activity Group 7. Submitting contributions to OP-SF NET Calendar of Events: 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 11.6 #3 12.1 #6 http://www-m6.ma.tum.de/~ruffing/Conference2005/ July 25-30: ISAAC Congress 2005, Catania, Italy (International Society for Analysis, its Applications and Computation) http://mathisaac.org/ August 1-5: Conference on Differential & Difference Equations and Applications, Melbourne, Florida, USA http://my.fit.edu/~agarwal/ 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 October 8-9: American Mathematical Society Eastern Section Meeting including Special Session on Special Functions and Orthogonal Polynomials: Theory and Applications, Bard College, Annandale-on-Hudson, New York, USA http://www.ams.org/amsmtgs/2120_program.html 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 May 6-11: International Conference on Fourier and Complex Analysis: Classical Problems - Current View, Protaras, Cyprus 12.4, #1 July 10-14: SIAM Annual Meeting, Boston, Massachusetts, USA August 22-30 International Congress of Mathematicians, Madrid, Spain http://www.icm2006.org/ September (exact date to be announced): AMADE 2006, Minsk, Belarus http://www.amade-bsu.com/ 12.3 #3 Topic #1 ---------- OP-SF NET 12.4 ------------ July 15, 2005 ~~~~~~~~~~~~~~ From: Stamatis Koumandos Subject: Conference on Fourier and Complex Analysis Preliminary Announcement The Department of Mathematics and Statistics of the University of Cyprus will organize an INTERNATIONAL CONFERENCE ON FOURIER AND COMPLEX ANALYSIS: CLASSICAL PROBLEMS - CURRENT VIEW MAY 6-11, 2006 PROTARAS, CYPRUS The main theme of the conference is the state of classical problems in Fourier and Complex Analysis today and the stimulus they provide for the interaction between researchers working in different branches of Analysis. The following mathematicians will participate with an invited talk: M. Andersson (Goteborg), C. Berenstein (College Park), C. Berg (Copenhagen), K. Kazarian (Madrid), S. Konyagin (Moscow), A. Olevskii (Tel-Aviv), A. Sebbar (Bordeaux), N. Tarkhanov (Potsdam), V. Totik (Szeged), W. Trebels (Darmstadt), A. Tsikh (Krasnoyarsk). Further invited speakers are expected. Due to the geographical position of Cyprus, the conference will be organized as follows: Arrival : Saturday, May 6, 2006 (most of the flights arrive late afternoon or early evening). Conference: May 7,8,9,10, 2006. Each morning session will consist of three lectures by invited speakers (including breaks). In the early afternoons there will be parallel sessions for short 20 minute presentations (at most 4 talks in each session). One afternoon will be free. Departure: Thursday, May 11, 2006 (most flights depart in the morning). We will be staying at the Hotel Tetyk, 50 meters from the sandy Protaras beach. In early May the temperature is about 24-27 C. The complete package (five nights in the hotel, half-board, two conference dinners, related material, conference fees) will cost approximately 100 Cyprus Pounds (about 172 Euro at the present exchange rate) for a single room and about 90 Cyprus pounds (or 155 Euro) per person for a double room. We expect to have special rates for the participants who wish to extend their stay or/and for accompanying persons. More information will be available on the web-page of the conference which will be opened (after the First Announcement) by the end of September 2005. Organizing committee: G. Alexopoulos, S. Koumandos, G. Kyriazis, E. Samiou, A. Vidras http://www.mas.ucy.ac.cy Topic #2 ---------- OP-SF NET 12.4 ------------ July 15, 2005 ~~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: "Liber Amicorum" for Nico Temme Tom Koornwinder informs us of a "Liber Amicorum" for Nico Temme, on the occasion of his official retirement from CWI. It includes a very interesting account by Tom entitled "Nico Temme, the Askey scheme and me, 1968-2005". This article contains a version of the Askey scheme where all boxes are filled with pictures of the people for whom the polynomials are named. There are also some interesting pictures of Tom and Nico in earlier times. The paper is on the web, see http://www.science.uva.nl/~thk/art/informal.html Topic #3 ---------- OP-SF NET 12.4 ------------ July 15, 2005 ~~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: Surveys in Approximation Theory This is from AT-NET BULLETIN NO. 129, 17.05.2005 This is to inform you about a project we have started called "Surveys in Approximation Theory" (SAT). As the name suggests, this is meant to be a collection of surveys in the area of approximation theory. It is web-based and free. Its main homepage is at: http://www.math.technion.ac.il/sat/ SAT is not meant as a first-publication journal, nor a collection of electronic monographs or textbooks. Instead, the survey articles we hope to collect here are meant to review a topic while citing, explaining and assessing the most relevant, important and interesting aspects of the topic. We hope that, in this manner, SAT will provide a valuable and unique service to the approximation theory and mathematical community. Articles may be broad or narrow in scope. The essential requirements are a well specified topic, together with clear exposition. Articles will appear as they are ready. All articles will be peer reviewed (refereed). Peer reviewing is essential in the maintenance of high standards. No attempt will be made to speed up the refereeing process at the cost of quality. If you wish to submit an article, please confer with any one of us and let us have a tentative title and a brief description of planned contents. If you would like to be notified of new papers accepted to SAT then subscribe to the electronic mailing list. We subscribe to the notion that mathematical research and exposition should be freely available on-line. That should be the 21st century meaning of the word "publication". This is one motivation for SAT. Carl de Boor, Allan Pinkus, Vilmos Totik Topic #4 ---------- OP-SF NET 12.4 ------------ July 15, 2005 ~~~~~~~~~~~~~~ From: OP-SF NET Editor Subject: Book on Constructive Approximation This is from AT-NET BULLETIN NO. 129, 17.05.2005 From: Detlef H. Mache or New ISNM - Publication: "Trends and Applications in Constructive Approximation" by De Bruin, M.G., Delft (The Netherlands) Mache, D.H., Bochum (Germany) Szabados, J., Budapest (Hungary) ISNM - International Series of Numerical Mathematics, Vol. 151, Springer Group - Birkhauser Verlag (2005). 312 pages. Hardcover. ISBN 3-7643-7124-2 This volume contains contributions from international experts on the fields of Constructive Approximation. Constructive Approximation has reached out to encompass the computational and approximation-theoretical aspects of various interesting fields in Applied Mathematics such as (multivariate) approximation methods, quasi-interpolation, and approximation by (orthogonal) polynomials, as well as the modern mathematical developments in neuro fuzzy approximation, RBF-networks, industrial and engineering applications. Articles from: Adell, Altomare, Braess, Catinas, Davydov, de Bruin, Della Vecchia, Igel, Kuzmin, Mache, Morandi, Mastroianni, Mazure, Mhaskar, Meyer, Michels, Obermaier, Platte, Rasa, Sablonniere, Turek, Toussaint, Szwarc, Szabados, Vertesi, Wiegand and others. Information under: mache@math.uni-dortmund.de or mache@tfh-bochum.de or use the webpage: http://www.mathematik.uni-dortmund.de/~mache/mache.htm Topic #5 ---------- OP-SF NET 12.4 ------------ July 15, 2005 ~~~~~~~~~~~~~~ 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://arxiv.org/abs/math.RA/0505041 Title: Normalized Leonard pairs and Askey-Wilson relations Authors: Raimundas Vidunas Comments: 21 pages Subj-class: Rings and Algebras; Quantum Algebra MSC-class: 33C45, 33D45, 17B37, 05E35 http://arxiv.org/abs/math.CA/0505058 Title: Parametric Euler Sum Identities Authors: David Borwein, Jonathan M. Borwein, David M. Bradley Comments: 12 pages Subj-class: Classical Analysis and ODEs MSC-class: 11M41 http://arxiv.org/abs/math.CA/0505060 Title: On a claim of Ramanujan about certain hypergeometric series Authors: David M. Bradley Comments: 7 pages, AMSTeX Subj-class: Classical Analysis and ODEs MSC-class: 33C20 Journal-ref: Proceedings of the American Mathematical Society, Vol. 121, No. 4, August 1994, pp. 1145--1149 http://arxiv.org/abs/math.NT/0505078 Title: Series acceleration formulas for Dirichlet series with periodic coefficients Authors: David M. Bradley Comments: 17 pages, AMSLaTeX, Math Reviews: MR #2003a:11112 Subj-class: Number Theory; Classical Analysis and ODEs MSC-class: 11M06 (Primary) 11M41, 11Y60 (Secondary) Journal-ref: The Ramanujan Journal, Vol. 6, No. 3, September 2002, pp. 331--346 http://arxiv.org/abs/math.CA/0505093 Title: Searching symbolically for Apery-like formulae for values of the Riemann zeta function Authors: Jonathan M. Borwein, David M. Bradley Comments: 6 pages, AMSTeX Subj-class: Classical Analysis and ODEs; Number Theory MSC-class: 11M06 Journal-ref: SIGSAM Bulletin of Symbolic and Algebraic Manipulation, Association of Computing Machinery, Vol. 30, No. 2, Issue 116, June 1996, pp. 2--7 http://arxiv.org/abs/math.CA/0505124 Title: Empirically determined Apery-like formulae for zeta(4n+3) Authors: Jonathan M. Borwein, David M. Bradley Comments: AMSTeX; Math Reviews MR #93m:11142; see also http://arxiv.org/abs/math.CA/0505093 Subj-class: Classical Analysis and ODEs; Number Theory MSC-class: 11M06 Journal-ref: Experimental Mathematics, Vol. 6, Issue 3, October 1997, pp. 181--194 http://arxiv.org/abs/math.CA/0505125 Title: Ramanujan's formula for the logarithmic derivative of the gamma function Authors: David M. Bradley Comments: AMSTeX; Math Reviews MR #97a:11132 Subj-class: Classical Analysis and ODEs; Number Theory MSC-class: 33B15 (Primary), 11Y60 (Secondary) Journal-ref: Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 120 (1996), no. 3, 391--401 http://arxiv.org/abs/math.CV/0505174 Title: Multiple positivity and the Riemann zeta-function Authors: Olga M. Katkova Comments: 22 pages Subj-class: Complex Variables; Number Theory MSC-class: 30D15, 30D10 http://arxiv.org/abs/math.CA/0505188 Title: Perturbations of Jacobi polynomials and piece-wise hypergeometric orthogonal systems Authors: Yurii A. Neretin Comments: 22 pages Subj-class: Classical Analysis and ODEs MSC-class: 33C45,34B10,34B05 http://arxiv.org/abs/math.CA/0505202 Title: On Powers of a Hypergeometric Function Authors: Michael Milgram Comments: 4 pages Subj-class: Classical Analysis and ODEs; Complex Variables; Mathematical Physics MSC-class: 26A09, 33B20, 33C05, 33C20 http://arxiv.org/abs/math.CA/0505213 Title: Elliptic determinant evaluations and the Macdonald identities for affine root systems Authors: Hjalmar Rosengren, Michael Schlosser Comments: 32 pages Subj-class: Classical Analysis and ODEs; Combinatorics MSC-class: 15A15; 17B67; 33E05 http://arxiv.org/abs/math.CA/050521 Title: Summation, transformation, and expansion formulas for multibasic theta hypergeometric series Authors: George Gasper, Michael Schlosser Comments: 18 pages; for the proceedings of the workshop "Elliptic Integrable Systems" (RIMS, Kyoto, November 8-11, 2004), special volume of the Rokko Lectures in Mathematics Subj-class: Classical Analysis and ODEs MSC-class: 33D65, 33E20 http://arxiv.org/abs/math.CO/0505217 Title: The Generating Function of Ternary Trees and Continued Fractions Authors: Ira Gessel, Guoce Xin Comments: 44 pages, 12 figures Subj-class: Combinatorics MSC-class: 05A15; 05A10, 05A17, 30B70, 33C05 http://arxiv.org/abs/math.CA/0505248 Title: An elliptic determinant transformation Authors: Hjalmar Rosengren Comments: 6 pages Subj-class: Classical Analysis and ODEs MSC-class: 15A15; 33D67; 33E05 http://arxiv.org/abs/math.NT/0505270 Title: Experimental determination of Apery-like identities for zeta(2n+2) Authors: David H. Bailey, Jonathan M. Borwein, David M. Bradley Comments: 15 pages, AMSLaTeX, submitted to Experimental Mathematics Subj-class: Number Theory; Classical Analysis and ODEs MSC-class: 11M06 (Primary), 33C20 (Secondary) http://arxiv.org/abs/math.PR/0505274 Title: A Capture Problem in Brownian Motion and Eigenvalues of Spherical Domains Authors: Jesse Ratzkin, Andrejs Treibergs Comments: 11 pages, 3 figures Subj-class: Probability; Analysis of PDEs http://arxiv.org/abs/math.PR/0505344 Title: The Efficient Evaluation of the Hypergeometric Function of a Matrix Argument Authors: Plamen Koev, Alan Edelman Comments: 14 pages, 3 figures Subj-class: Probability; Numerical Analysis MSC-class: 33C20; 65B10; 05A99 http://arxiv.org/abs/math.CA/0505378 Title: Lowering and raising operators for some special orthogonal polynomials Authors: Tom H. Koornwinder Comments: 12 pages; to appear in proceedings of the Workshop on Jack, Hall-Littlewood and Macdonald polynomials (Edinburgh, September 2003) Subj-class: Classical Analysis and ODEs MSC-class: 33C45; 33D45; 33C52 http://arxiv.org/abs/math.CO/0505548 Title: On q-Euler numbers, q-Salie numbers and q-Carlitz numbers Authors: Hao Pan, Zhi-Wei Sun Comments: 18 pages; more results added Subj-class: Combinatorics; Number Theory MSC-class: 11B65; 05A30; 11A07; 11B68 http://arxiv.org/abs/hep-th/0505097 Title: Parafermionic derivation of Andrews-type multiple sums Authors: P. Jacob, P. Mathieu Comments: 16 pages Subj-class: High Energy Physics - Theory; Combinatorics; Mathematical Physics; Quantum Algebra http://arxiv.org/abs/math-ph/0505020 Title: Exact Solution for the Hypergeometric Green's Function Describing Spectral Formation in X-Ray Pulsars Authors: Peter A. Becker Comments: Accepted for publication in JMP Subj-class: Mathematical Physics http://arxiv.org/abs/math-ph/0505077 Title: Quasi-Periodic Solutions of Heun's Equation Authors: Avinash Khare, Uday Sukhatme Comments: 13 pages, 0 figures Subj-class: Mathematical Physics http://arxiv.org/abs/math.CO/0506128 Title: The Andrews-Stanley partition function and Al-Salam-Chihara polynomials Authors: Masao Ishikawa, Jiang Zeng Comments: 24 pages Subj-class: Combinatorics; Representation Theory MSC-class: 05E05 (Primary) 05A17, 05A30, 05E35, 33D15, 33D45 (Secondary) http://arxiv.org/abs/math.CA/0506213 Title: Evaluation of Sylvester type determinants using block-triangularization Authors: Olga Holtz Comments: 9 pages; to appear in Proceedings of the 4th ISAAC Congress Subj-class: Classical Analysis and ODEs; Rings and Algebras MSC-class: 33C45, 33D45, 15A15, 15A23 http://arxiv.org/abs/math.NT/0506214 Title: Some identities for the Riemann zeta-function II Authors: Aleksandar Ivi\'c Comments: 7 pages Subj-class: Number Theory MSC-class: 11M06 http://arxiv.org/abs/math.RA/0506219 Title: Balanced Leonard Pairs Authors: Kazumasa Nomura, Paul Terwilliger Comments: 20 pages Subj-class: Rings and Algebras; Quantum Algebra MSC-class: 05E30,05E35;33C45;17B37 http://arxiv.org/abs/math.NT/0506278 Title: q-Euler and Genocchi numbers Authors: Taekyun Kim Comments: 7 pages Subj-class: Number Theory MSC-class: 11B68, 11S80 http://arxiv.org/abs/math.NT/0506319 Title: Double integrals and infinite products for some classical constants via analytic continuations of Lerch's transcendent Authors: Jesus Guillera (Zaragoza), Jonathan Sondow (New York) Comments: 19 pages, submitted for publication Subj-class: Number Theory; Classical Analysis and ODEs MSC-class: Primary 11M06, 11M35, 11Y60; Secondary 33B15, 33B30 http://arxiv.org/abs/math.CA/0506345 Title: Elementary proofs of Paley-Wiener theorems for the Dunkl transform on the real line Authors: Nils Byrial Andersen, Marcel de Jeu Comments: 9 pp., LaTeX, no figures; final version, to appear in Int. Math. Res. Not Subj-class: Classical Analysis and ODEs; Representation Theory MSC-class: Primary 44A15; Secondary 42A38, 33C52 http://arxiv.org/abs/math.CA/0506384 Title: Ramanujan's Perimeter of an Ellipse Authors: Mark B. Villarino Comments: 12 pages Subj-class: Classical Analysis and ODEs; General Mathematics MSC-class: 26D15; 41A25;41A44 http://arxiv.org/abs/math.CA/0506385 Title: Ramanujan's Inverse Elliptic Arc Approximation Authors: Mark B. Villarino Comments: Four pages Subj-class: Classical Analysis and ODEs MSC-class: 41A25, 41A60 http://arxiv.org/abs/math.PR/0506458 Title: Linearization coefficients of Bessel polynomials Authors: Christian Berg, Christophe Vignat Comments: 16 pages Subj-class: Probability MSC-class: 33C10;60E05 http://arxiv.org/abs/nlin.SI/0505004 Title: Symbolic Software for the Painleve Test of Nonlinear Ordinary and Partial Differential Equations Authors: Douglas Baldwin, Willy Hereman Comments: Submitted to the Journal of Nonlinear Mathematical Physics. Software available at http://www.mines.edu/fs_home/whereman/software/painleve/mathematica/ Subj-class: Exactly Solvable and Integrable Systems http://arxiv.org/abs/nlin.SI/0505025 Title: B\"acklund transformations for fourth Painlev\'e hierarchies Authors: Pilar R. Gordoa, Nalini Joshi, Andrew Pickering Comments: 23 pages, 2 figures, to appear Journal of Differential Equations Subj-class: Exactly Solvable and Integrable Systems Topic #6 ---------- OP-SF NET 12.4 ------------ July 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 #7 ---------- OP-SF NET 12.4 ------------ July 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 12.5 should be sent by September 1, 2005. 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: Martin Muldoon, OP-SF NET editor Bonita Saunders, Webmaster o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o