Special Functions: Proceedings of the International Workshop Hong Kong 21 - 25 June 1999

by Dunkl, Charles; Ismail, Monral; Wong, Roderick

• ISBN13: 9789810243937
• ISBN10: 9810243936
• Format: Hardcover
• Copyright: 2000-09-01
• Publisher: WORLD SCIENTIFIC PUB CO INC

Summary

Proceedings of the International Workshop, Special Functions, held in Hong Kong, June 21-25, 1999. Introduces new developments in the investigations of uniform asymptotic expansions, illustrating new theoretical concepts. Also discusses the theory of polynomials orthogonal with respect to exponential weights.

Table of Contents

Preface	v
Integral Representations of Quasi Hypergeometric Functions	1	(15)
K. Aomoto
Combinatorics of Crystals for Tensor and Spinor Representations of Uq(Bn)	16	(15)
T. H. Baker
On Infinitely Divisible Solutions to Indeterminate Moment Problems	31	(11)
C. Berg
Generating Orthogonal Polynomials for Exponential Weights on a Finite Interval	42	(15)
R. C. Y. Chin
D. Ridzal
Spherical Multipliers and Spherical Multiplier Transformations	57	(15)
H. Ding
Generating Functions Associated with Dihedral Groups	72	(16)
C. F. Dunkl
Existence of Approximate Identities in Maximal Ideals of Hypergroup-Algebras	88	(10)
F. Filbir
Zeros of Jacobi Polynomials with Varying Non-Classical Parameters	98	(16)
A. Martinez-Finkelshtein
P. Martinez-Gonzalez
R. Orive
Asymptotic Behavior of Eigenfunctions for the Hecke Algebra on Homogeneous Trees	114	(4)
P. Gerarding
K. F. Lai
Some Relations for Partitions into Four Squares	118	(7)
M. D. Hirschhorn
J. A. Sellers
Algebraic Aspects of Quantum Calogero Models	125	(15)
S. Kakei
Y. Kato
Special Functions and Perturbations of Black Holes	140	(12)
E. G. Kalnins
W. Miller Jr.
G. F. Torres Del Castillo
G. C. Williams
On a Nonlinear Recurrence Related to Nevai Polynomials	152	(14)
D. Kaminski
Inversion Formulas Involving Orthogonal Polynomials and Some of Their Applications	166	(15)
R. Koekoek
Bochner-Krall Orthogonal Polynomials	181	(13)
K. H. Kwon
G. J. Yoon
L. L. Littlejohn
Orthogonal Expansions for Lp- and C-Spaces	194	(13)
R. Lasser
J. Obermaier
The DLMF Project: A New Initiative in Classical Special Functions	207	(14)
D. W. Lozier
Resurgence in Difference Equations, with an Application to Legendre Functions	221	(15)
F. W. J. Olver
On Exorcising Secular Terms	236	(11)
R. E. O'Malley Jr.
New Asymptotic Formulas for the Riemann Zeta Function on the Critical Line	247	(15)
R. B. Paris
A q-Analogue of a Product Formula of Bailey and Related Results	262	(20)
M. Rahman
The Brahmagupta Matrix and its Applications to Tiling	282	(11)
R. Rangarajan
E. R. Suryanarayan
Elliptic Integrals of the First and Second Kind -- Comparison of Bulirsch's and Carlson's Algorithms for Numerical Calculation	293	(16)
K.-D. Reinsch
W. Raab
Short-Time Estimates for Heat Kernels Associated with Root Systems	309	(15)
M. Rosler
Solitons and Coulomb Plasmas, Similarity Reductions and Special Functions	324	(15)
V. P. Spiridonov
The Role of Hermite Polynomials in Asymptotic Analysis	339	(12)
N. M. Temme
J. L. Lopez
Statistics of Graph Spectra for Some Finite Matrix Groups: Finite Quantum Chaos	351	(24)
A. Terras
Convolution Semigroups and Calderon's Formula for Compact K-Variable Continuous Polynomial Hypergroups	375	(19)
K. Trimeche
Rodrigues Formulas for Nonsymmetric Multivariable Polynomials Associated with Quantum Integrable Systems of Calogero-Sutherland Type	394	(15)
H. Ujino
A. Nishino
Orthogonal Polynomials and Their Asymptotic Behavior	409	(14)
R. Wong
A Product Formula for Jacobi Polynomials	423	(8)
Y. Xu
Schur Functions and Two Realizations of the Basic A1(1)-Module	431
H.-F. Yamada