Proceedings of the international workshop, special functions : Hong Kong, 21-25 June 1999 /

Special functions and q-series are currently very active areas of research which overlap with many other areas of mathematics, such as representation theory, classical and quantum groups, affine Lie algebras, number theory, harmonic analysis, and mathematical physics. This book presents the state-of...

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Bibliographic Details
Corporate Authors: World Scientific (Firm); International Workshop on Special Functions--Asymptotics, Harmonic Analysis and Mathematical Physics Hong Kong, China)
Group Author: Dunkl, Charles F., 1941- (Editor); Ismail, Mourad, 1944- (Editor); Wong, R. (Roderick), 1944- (Editor)
Published: World Scientific Pub. Co.,
Publisher Address: Singapore ; River Edge, N.J. :
Publication Dates: 2000.
Literature type: eBook
Language: English
Subjects:
Online Access: http://www.worldscientific.com/worldscibooks/10.1142/4502#t=toc
Summary: Special functions and q-series are currently very active areas of research which overlap with many other areas of mathematics, such as representation theory, classical and quantum groups, affine Lie algebras, number theory, harmonic analysis, and mathematical physics. This book presents the state-of-the-art of the subject and its applications.
Item Description: "Proceedings ... presented at the International Workshop on Special Functions--Asymptotics, Harmonic Analysis and Mathematical Physics that was held June 21-25, 1999 at the City University of Hong Kong"--P. v.
Carrier Form: 1 online resource (xi,438pages) : illustrations
Bibliography: Includes bibliographical references.
ISBN: 9789812792303
CLC: O174.6-532
Contents: Integral representations of quasi hypergeometric functions / K. Aomoto -- Combinatorics of crystals for tensor and spinor representations of [symbol] / T. H. Baker -- On infinitely divisible solutions to indeterminate moment problems / C. Berg -- Generating orthogonal polynomials for exponential weights on a finite interval / R. C. Y. Chin and D. Ridzal -- Spherical multipliers and spherical multiplier transformations / H. Ding -- Generating functions associated with dihedral groups / C. F. Dunkl -- Existence of approximate identities in maximal ideals of hypergroup-algebras / F. Filbir -- Zeros of Jacobi polynomials with varying non-classical parameters / A. Martinez-Finkelshtein, P. Martinez-Gonzalez and R. Orive -- Asymptotic behavior of eigenfunctions for the Hecke algebra on homogeneous trees / P. Gerarding and K. F. Lai -- Some relations for partitions into four squares / M. D. Hirschhorn and J. A. Sellers -- Algebraic aspects of quantum Calogero models / S. Kakei and Y. Kato -- Special functions and perturbations of black holes / E. G. Kalnins [et al.] -- On a nonlinear recurrence related to Nevai polynomials / D. Kaminski -- Inversion formulas involving orthogonal polynomials and some of their applications / R. Koekoek -- Bochner-Krall orthogonal polynomials / K. H. Kwon, G. J. Yoon and L. L. Littlejohn.
Orthogonal expansions for [symbol] and C-spaces / R. Lasser and J. Obermaier -- The DLMF project: a new initiative in classical special functions / D. W. Lozier -- Resurgence in difference equations, with an application to Legendre functions / F. W. J. Olver -- On exorcising secular terms / R. E. O'Malley Jr. -- New asymptotic formulas for the Riemann Zeta function on the critical line / R. B. Paris -- A q-analogue of a product formula of Bailey and related results / M. Rahman -- The Brahmagupta matrix and its applications to tiling / R. Rangarajan and E. R. Suryanarayan -- Elliptic integrals of the first and second kind comparison of Bulirsch's and Carlson's algorithms for numerical calculation / K.-D. Reinsch and W. Raab -- Short-time estimates for heat kernels associated with root systems / M. Rosier -- Solitons and Coulomb plasmas, similarity reductions and special functions / V. P. Spindonov -- The role of Hermite polynomials in asymptotic analysis / N. M. Temme and J. L. Lopez -- Statistics of graph spectra for some finite matrix groups: finite quantum chaos / A. Terras -- Convolution semigroups and Calderon's formula for compact k-variable continuous polynomial hypergroups / K. Trimeche -- Rodrigues formulas for nonsymmetric multivariable polynomials associated with quantum integrable systems of calogero-sutherland type / H. Ujino and A. Nishmo -- Orthogonal polynomials and their asymptotic behavior / R. Wong -- A product formula for Jacobi polynomials / Y. Xu -- Schur functions and two realizations of the basic [symbol]-module / H.-F. Yamada.