eBook ISBN:  9780821877296 
Product Code:  CONM/138.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821877296 
Product Code:  CONM/138.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

Book DetailsContemporary MathematicsVolume: 138; 1992; 259 ppMSC: Primary 33
This book is the first set of proceedings to be devoted entirely to the theory of hypergeometric functions defined on domains of positivity. Most of the scientific areas in which these functions are applied include analytic number theory, combinatorics, harmonic analysis, random walks, representation theory, and mathematical physics—are represented here. This volume is based largely on lectures presented at a Special Session at the AMS meeting in Tampa, Florida in March 1991, which was devoted to hypergeometric functions of matrix argument and to fostering communication among representatives of the diverse scientific areas in which these functions are utilized. Accessible to graduate students and others seeking an introduction to the state of the art in this area, this book is a suitable text for advanced graduate seminar courses for it contains many open problems.
ReadershipMathematicians, mathematical physicists, mathematical statisticians and graduate students seeking an introduction to the literature.

Table of Contents

Articles

Jeff Angel, Nancy Celniker, Steve Poulos, Audrey Terras, Cindy Trimble and Elinor Velasquez — Special functions on finite upper half planes [ MR 1199118 ]

R. J. Beerends — Some special values for the $BC$ type hypergeometric function [ MR 1199119 ]

N. Bergeron and A. M. Garsia — On certain spaces of harmonic polynomials [ MR 1199120 ]

L. C. Biedenharn and J. D. Louck — Identities for generalized hypergeometric coefficients [ MR 1199121 ]

Persi Diaconis and Phil Hanlon — Eigenanalysis for some examples of the Metropolis algorithm [ MR 1199122 ]

Hongming Ding — Hilbert spaces of vectorvalued holomorphic functions and irreducibility of multiplier representations [ MR 1199123 ]

Charles F. Dunkl — Hankel transforms associated to finite reflection groups [ MR 1199124 ]

Jacques Faraut — Prolongement analytique des series de Taylor spheriques [ MR 1199125 ]

Philip J. Hanlon, Richard P. Stanley and John R. Stembridge — Some combinatorial aspects of the spectra of normally distributed random matrices [ MR 1199126 ]

Kenneth D. Johnson — Degenerate principal series on tube type domains [ MR 1199127 ]

Tom H. Koornwinder — AskeyWilson polynomials for root systems of type $BC$ [ MR 1199128 ]

Ray A. Kunze — Some special functions in the Fock space [ MR 1199129 ]

Michel Lassalle — Matrice de Hua et polynômes de Jack [ MR 1199130 ]

Zhi Min Yan — Generalized hypergeometric functions and Laguerre polynomials in two variables [ MR 1199131 ]


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This book is the first set of proceedings to be devoted entirely to the theory of hypergeometric functions defined on domains of positivity. Most of the scientific areas in which these functions are applied include analytic number theory, combinatorics, harmonic analysis, random walks, representation theory, and mathematical physics—are represented here. This volume is based largely on lectures presented at a Special Session at the AMS meeting in Tampa, Florida in March 1991, which was devoted to hypergeometric functions of matrix argument and to fostering communication among representatives of the diverse scientific areas in which these functions are utilized. Accessible to graduate students and others seeking an introduction to the state of the art in this area, this book is a suitable text for advanced graduate seminar courses for it contains many open problems.
Mathematicians, mathematical physicists, mathematical statisticians and graduate students seeking an introduction to the literature.

Articles

Jeff Angel, Nancy Celniker, Steve Poulos, Audrey Terras, Cindy Trimble and Elinor Velasquez — Special functions on finite upper half planes [ MR 1199118 ]

R. J. Beerends — Some special values for the $BC$ type hypergeometric function [ MR 1199119 ]

N. Bergeron and A. M. Garsia — On certain spaces of harmonic polynomials [ MR 1199120 ]

L. C. Biedenharn and J. D. Louck — Identities for generalized hypergeometric coefficients [ MR 1199121 ]

Persi Diaconis and Phil Hanlon — Eigenanalysis for some examples of the Metropolis algorithm [ MR 1199122 ]

Hongming Ding — Hilbert spaces of vectorvalued holomorphic functions and irreducibility of multiplier representations [ MR 1199123 ]

Charles F. Dunkl — Hankel transforms associated to finite reflection groups [ MR 1199124 ]

Jacques Faraut — Prolongement analytique des series de Taylor spheriques [ MR 1199125 ]

Philip J. Hanlon, Richard P. Stanley and John R. Stembridge — Some combinatorial aspects of the spectra of normally distributed random matrices [ MR 1199126 ]

Kenneth D. Johnson — Degenerate principal series on tube type domains [ MR 1199127 ]

Tom H. Koornwinder — AskeyWilson polynomials for root systems of type $BC$ [ MR 1199128 ]

Ray A. Kunze — Some special functions in the Fock space [ MR 1199129 ]

Michel Lassalle — Matrice de Hua et polynômes de Jack [ MR 1199130 ]

Zhi Min Yan — Generalized hypergeometric functions and Laguerre polynomials in two variables [ MR 1199131 ]