Topic #9 ------------ OP-SF NET 6.5 ----------- September 15, 1999 ~~~~~~~~~~~~~ From: Jan Felipe van DiejenSubject: Proceedings "Algebraic Methods and q-Special Functions" PROCEEDINGS OF THE CRM WORKSHOP "ALGEBRAIC METHODS AND q-SPECIAL FUNCTIONS", MONTREAL, 1996. In May 1996, the Centre de Recherches Mathematiques at Montreal organized the workshop "Algebraic Methods and q-Special Functions". The idea of this workshop was to bring together a diverse group of people working in the areas of combinatorics, special functions, orthogonal polynomials and representation-theoretic methods, with the purpose of getting some kind of an overview of the current developments in the field. Much of the reported research progress was inspired by the seminal contributions of R. A. Askey and colleagues on one-variable basic hypergeometric series and of I. G. Macdonald on multivariate orthogonal polynomials related to root systems. Recently, the proceedings of this workshop appeared in the CRM Proceedings and Lecture Notes Series published by the AMS: "Algebraic Methods and q-Special Functions", Eds.: Jan Felipe van Diejen (Universidad de Chile, Santiago, Chile) and Luc Vinet (Université de Montreal, Quebec, PQ, Canada), CRM Proceedings and Lecture Notes 22, American Mathematical Society, Providence, R.I., 1999. ISBN: 0-8218-2026-5 Paging: 276 pp. Binding: Softcover List Price: $79 Institutional Member Price: $63 Individual Member Price: $47 Order Code: CRMP/22 Contents F. Bergeron and A. M. Garsia -- Science fiction and Macdonald's polynomials R. Chouikha -- On the expansion of elliptic functions and applications D. V. Chudnovsky and G. V. Chudnovsky -- Generalized hypergeometric functions - Classification of identities and explicit rational approximations W. S. Chung, E. G. Kalnins, and W. Miller, Jr. -- Tensor products of q-superalgebras and q-series identities. I J. F. van Diejen and J. V. Stokman -- q-Racah polynomials for BC type root systems C. F. Dunkl -- Intertwining operators of type B_N R. Floreanini, J. LeTourneux, and L. Vinet -- Symmetries and continuous q-orthogonal polynomials P. G. A. Floris -- Addition theorems for spherical polynomials on a family of quantum spheres F. A. Grunbaum and L. Haine -- On a q-analogue of the string equation and a generalization of the classical orthogonal polynomials M. E. H. Ismail, D. R. Masson, and S. K. Suslov -- The q-Bessel function on a q-quadratic grid D. Kim and D. Stanton -- Three statistics on lattice paths A. N. Kirillov -- Quantum Grothendieck polynomials A. N. Kirillov and M. Noumi -- q-difference raising operators for Macdonald polynomials and the integrality of transition coefficients B. A. Kupershmidt -- Great powers of q-calculus V. Spiridonov -- q-special functions: Differential-difference equations, roots of unity, and all that A. Strasburger -- On algebras of creation and annihilation operators Further information on these proceedings can be obtained via the AMS Bookstore WEB page: http://www.ams.org/cgi-bin/bookstore/bookpromo/crmpseries

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