SIAM AG on Orthogonal Polynomials and Special Functions


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Extract from OP-SF NET


Topic #8  ---------------  OP-SF NET  ---------------  February 9, 1995
                           ~~~~~~~~~
From: OP-SF Net Editor 
Subject: Continuation of the three-volume Vilenkin-Klimyk book

As a continuation of the three-volume book
"Representation of Lie Groups and Special Functions"
by N. Ja. Vilenkin and A.U. Klimyk (Kluwer, 1991-93), the two authors
(the first of whom died) have published now a one-volume continuation
which describes some new directions and results within the theme of
their earlier book:

N. Ja. Vilenkin and A.U. Klimyk
"Representation of Lie Groups and Special Functions, Recent Advances"
Kluwer Academic Publishers
Dordrecht, 1995

It consists of six chapters:

Chapter 1: h-Harmonic polynomials, h-Hankel transform, and Coxeter groups

Chapter 2: Symmetric polynomials and symmetric functions

Chapter 3: Hypergeometric functions related to Jack polynomials

Chapter 4: Clebsch-Gordan coefficients and Racah coefficients
           of finite dimensional representations

Chapter 5: Clebsch-Gordan coefficients of the group U(n) and related
           generalizations of hypergeometric functions

Chapter 6: Gel'fand hypergeometric functions


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