o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o July 15, 2004 O P - S F N E T Volume 11, 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. Open PhD student position 2. Preprints in arXiv.org 3. About the Activity Group 4. Submitting contributions to OP-SF NET Calendar of Events: 2004 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 11-15: SIAM Annual Meeting, New Orleans, Louisiana, USA http://www.siam.org/meetings/AN05/ 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 11.4 ------------- July 15, 2004 ~~~~~~~~~~~~~~ From: Michael Schlosser Subject: Open PhD student position Michael Schlosser at the University of Vienna is looking for a PhD student whom he could provide full employment, up to 28 months, through his new FWF (Austrian Science Funds) project 'Macdonald polynomials and basic hypergeometric series'. The starting date of this pure research position is August 1, 2004, or some later agreeable date. An ideal candidate would be an EC national having some prior knowledge in q-series, symmetric functions, special functions, algebra and/or representation theory. Further desirable (but not necessary) are basic programming skills in some computer algebra program. If interested, please write to Michael Schlosser at schlosse@ap.univie.ac.at Topic #2 ------------ OP-SF NET 11.4 ------------- July 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.CA/0405050 Title: Another proofs of the geometrical forms of Paley-Wiener theorems for the Dunkl transform and inversion formulas for the Dunkl interwining operator and for its dual Authors: Khalifa Trimeche Comments: 23 pages Subj-class: Classical Analysis and ODEs MSC-class: 33C80,43A32,44A35,51F15 http://www.arXiv.org/abs/math.QA/0405072 Title: Sklyanin invariant integration Authors: Hjalmar Rosengren Comments: 21 pages Subj-class: Quantum Algebra; Classical Analysis and ODEs MSC-class: 11F50; 17B37; 33D80 http://www.arXiv.org/abs/math.SP/0405111 Title: Orthogonal polynomials on the unit circle: New results Authors: Barry Simon Subj-class: Spectral Theory MSC-class: 42C05, 47B35 http://www.arXiv.org/abs/math.NT/0405162 Title: Representation of the Gauss hypergeometric function by multiple polylogarithms and relations of multiple zeta values Authors: Shu Oi Subj-class: Number Theory; Classical Analysis and ODEs; Quantum Algebra MSC-class: 11M06; 40B05; 33C05 http://www.arXiv.org/abs/math.CV/0405259 Title: Singularities of Nonconfluent Hypergeometric Functions in Several Variables Authors: Mikael Passare, Timur Sadykov, August Tsikh Comments: 30 pages, 7 figures Subj-class: Complex Variables; Analysis of PDEs MSC-class: 32A20; 33C70 http://www.arXiv.org/abs/math.CA/0405308 Title: On the algebraic solutions of the sixth Painlev\'e equation related to second order Picard-Fuchs equations Authors: Bassem Ben Hamed, Lubomir Gavrilov Comments: 9 pages Subj-class: Classical Analysis and ODEs MSC-class: 32G34; 34M55 http://www.arXiv.org/abs/math.CA/0405309 Title: Lower-upper triangular decompositions, q=0 limits, and p-adic interpretations of some q-hypergeometric orthogonal polynomials Authors: Tom H. Koornwinder, Uri Onn Comments: 24 pages Subj-class: Classical Analysis and ODEs; Representation Theory MSC-class: 33D45; 33D80 http://www.arXiv.org/abs/math.NA/0405316 Title: Alternative Orthogonal Polynomials Authors: Vladimir Chelyshkov Comments: 5 pages Subj-class: Numerical Analysis; Classical Analysis and ODEs MSC-class: 33C45 http://www.arXiv.org/abs/math.QA/0405331 Title: Asymptotics of q-difference equations Authors: Stavros Garoufalidis, Jeff Geronimo Comments: 25 pages, 4 figures Subj-class: Quantum Algebra; Geometric Topology MSC-class: 57N10, 57M25 http://www.arXiv.org/abs/math.CA/0405368 Title: Positivity of Dunkl's intertwining operator via the trigonometric setting Authors: Margit Rösler, Michael Voit Comments: 7 pages Subj-class: Classical Analysis and ODEs; Representation Theory MSC-class: 33C52, 33C67 http://www.arXiv.org/abs/math.AG/0405399 Title: Transform\'ee de Mellin des int\'egrales- fibres associ\'ees \`a l'intersection compl\`ete non-d\'eg\'en\'er\'ee Authors: Susumu Tanabé Comments: 46 pages Subj-class: Algebraic Geometry; Classical Analysis and ODEs MSC-class: 33C70, 14M25, 14J32 http://www.arXiv.org/abs/math.QA/0405402 Title: q,k-generalized gamma and beta functions Authors: Rafael Diaz, Carolina Teruel Comments: 17 pages Subj-class: Quantum Algebra http://www.arXiv.org/abs/math.CA/0405559 Title: Hierarchy of B\"acklund Transformation Groups of the Painlev\'e Systems Authors: Masaki Suzuki, Nobuhiko Tahara, Kyoichi Takano Comments: 11 pages, to be published in J. Math. Soc. Japan Subj-class: Classical Analysis and ODEs MSC-class: 34M55 (Primary) 37K35 (Secondary) http://www.arXiv.org/abs/math.CA/0405592 Title: Markov's Transformation of Series and the WZ Method Authors: Margo Kondratieva, Sergey Sadov Comments: 13 pages Subj-class: Classical Analysis and ODEs; History and Overview MSC-class: 33F10; 01A55 http://www.arXiv.org/abs/math.CO/0405594 Title: Inversions relating Stirling, tanh, Lah numbers and an application to Mathematical Statistics Authors: G. Della Riccia Comments: 11 pages Subj-class: Combinatorics MSC-class: 05A19, 05A10 (Primary); 60E10, 05A15 (Secondary) http://www.arXiv.org/abs/math.CA/0405596 Title: On hypergeometric functions and Pochhammer $k$-symbol Authors: Rafael Diaz, Eddy Pariguan Comments: 16 pages, 3 figures Subj-class: Classical Analysis and ODEs http://www.arXiv.org/abs/math.CA/0406049 Title: Some remarks on another proof of geometrical Paley-Wiener theorems for the Dunkl transform Authors: Marcel de Jeu Comments: LaTeX, 2 pages Subj-class: Classical Analysis and ODEs; Representation Theory MSC-class: 33C52; 33C67 http://www.arXiv.org/abs/math.QA/0406060 Title: A Kato-Lusztig formula for nonsymmetric Macdonald polynomials Authors: Bogdan Ion Comments: 28 pg Subj-class: Quantum Algebra; Representation Theory http://www.arxiv.org/abs/math.NT/0406235 Title: Some considerations in connection with Kurepa's function Authors: Branko J. Malesevic Comments: 11 pages Subj-class: Number Theory; Complex Variables MSC-class: 30E20; 11J91 Journal-ref: Univ. Beograd. Publ. Elektrotehn. Fak., Ser. Mat. 14 (2003), 30-40 http://www.arxiv.org/abs/math.NT/0406236 Title: Some considerations in connection with alternating Kurepa's function Authors: Branko J. Malesevic Comments: 9 pages Subj-class: Number Theory; Complex Variables MSC-class: 30E20; 11J91 http://www.arxiv.org/abs/math.NA/0406263 Title: Application of the Wavelet Transform with a Piecewise Linear Basis to the Evaluation of the Hankel Transform Authors: P. S. Zykov, E. B. Postnikov Subj-class: Numerical Analysis; Mathematical Physics MSC-class: 44A15; 65R10 Journal-ref: Comp. Math. and Math. Phys., Vol. 44, No. 3, 2004, pp. 396-400 http://www.arxiv.org/abs/math.AG/0406281 Title: The fifty-two icosahedral solutions to Painleve VI Authors: Philip Boalch Comments: 17 pages, 1 table Subj-class: Algebraic Geometry; Mathematical Physics; Exactly Solvable and Integrable Systems http://www.arxiv.org/abs/math.CV/0406306 Title: Beta and Gamma functions of Cayley-Dickson numbers Authors: S.V. Ludkovsky Comments: 11 pages Subj-class: Complex Variables; Rings and Algebras MSC-class: 30G35; 17A70 http://www.arxiv.org/abs/math.NT/0406307 Title: Algebraic properties of a family of Generalized Laguerre Polynomials Authors: Farshid Hajir Comments: 19 pages Subj-class: Number Theory MSC-class: 11R09; 11R32 http://www.arxiv.org/abs/math.NT/0406308 Title: On the Galois group of Generalized Laguerre Polynomials Authors: Farshid Hajir Comments: 6 pages Subj-class: Number Theory MSC-class: 11R32; 11R09 http://www.arxiv.org/abs/math.NT/0406312 Title: An Explicit Formula Relating Stieltjes Constants and Li's Numbers Authors: Krzysztof Maslanka Comments: 5 pages, 1 figure Subj-class: Number Theory; Numerical Analysis MSC-class: 11M26 http://www.arxiv.org/abs/math.CO/0406323 Title: Some formulae for bivariate Fibonacci and Lucas polynomials Authors: Mario Catalani Subj-class: Combinatorics MSC-class: 11B39 http://www.arxiv.org/abs/math.CO/0406328 Title: On some $q$-identities related to divisor functions Authors: Jiang Zeng Comments: To appear in Adv. in Appl. Math Subj-class: Combinatorics MSC-class: O5A05; 05E05 http://www.arxiv.org/abs/math.CA/0406337 Title: A Series Expansion for Integral Powers of Arctangent Authors: Michael Milgram Comments: 11 pages Subj-class: Classical Analysis and ODEs; Complex Variables MSC-class: 26A09, 33B10, 33C05 http://www.arxiv.org/abs/math.CA/0406338 Title: On Some Sums of Digamma and Polygamma functions Authors: Michael Milgram Comments: 20 pages Subj-class: Classical Analysis and ODEs; Complex Variables MSC-class: 33B15, 33C20 (Primary) 30-02, 30B99,33-02,40-02,40C99 (Secondary) http://www.arxiv.org/abs/math.CO/0406378 Title: Combinatorial proofs of inverse relations and log-concavity for Bessel numbers Authors: Hyuk Han, Seunghyun Seo Comments: 9 pages, 4 figures Subj-class: Combinatorics MSC-class: 05A15 (Primary) 05A19, 05A20, 05C70 (Secondary) http://www.arxiv.org/abs/math.SP/0406395 Title: On location of discrete spectrum for complex Jacobi matrices Authors: I. Egorova, L. Golinskii (Institute for Low Temperature Physics, Kharkiv, Ukraine) Comments: LaTeX, 7 pages Subj-class: Spectral Theory MSC-class: 47B36; 47A10; 47A55 http://www.arxiv.org/abs/math.CA/0406401 Title: Integrals of polylogarithmic functions, recurrence relations, and associated Euler sums Authors: P. Freitas Comments: 17 pages Subj-class: Classical Analysis and ODEs MSC-class: 33E20; 11M41 http://www.arxiv.org/abs/math.CA/0406484 Title: The dbar steepest descent method and the asymptotic behavior of polynomials orthogonal on the unit circle with fixed and exponentially varying nonanalytic weights Authors: K. T.-R. McLaughlin, P. D. Miller Comments: Visit the website for this paper: http://www.math.lsa.umich.edu/~millerpd/ResearchAndPublications/CP.html Subj-class: Classical Analysis and ODEs; Complex Variables MSC-class: 35Q15; 42C05; 30C15 http://www.arxiv.org/abs/math.CA/0406616 Title: Integral representations for multiple Hermite and multiple Laguerre polynomials Authors: Pavel M. Bleher, Arno B.J. Kuijlaars Comments: 12 pages Subj-class: Classical Analysis and ODEs; Mathematical Physics MSC-class: 30E20; 42C05 http://www.arxiv.org/abs/math.CO/0406620 Title: The method of characteristics, and "problem 89" of Graham, Knuth and Patashnik Authors: Herbert S. Wilf Subj-class: Combinatorics MSC-class: 05A10 http://www.arxiv.org/abs/math-ph/0406007 Title: Sum Rules for Jacobi Matrices and Divergent Lieb-Thirring Sums Authors: Andrej Zlatos Subj-class: Mathematical Physics MSC-class: 47B36; 34L15 http://www.arxiv.org/abs/math-ph/0406042 Title: Hypergeometric Generating Function of L-function, Slater's Identities, and Quantum Invariant Authors: Kazuhiro Hikami, Anatol N. Kirillov Comments: 18 pages Subj-class: Mathematical Physics http://www.arxiv.org/abs/math-ph/0406049 Title: Astrophysical Thermonuclear Functions for Boltzmann-Gibbs Statistics and Tsallis Statistics Authors: R.K. Saxena, A.M. Mathai, H.J. Haubold Comments: 10 pages, LaTeX Subj-class: Mathematical Physics; Classical Analysis and ODEs MSC-class: 33C20 (Primary), 33C90 (Secondary) Topic #3 ------------ OP-SF NET 11.4 ------------- July 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 #4 ------------ OP-SF NET 11.4 ------------- July 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 11.5 should be sent by September 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