ENGLISH

Representation of Lie groups and special functions. Recent advances

By A.U. Klimyk , N.Ja. Vilenkin

Book information

Publisher
Springer
Year
1994
ISBN
0792332105, 9780792332107
LCC
QA176 .V55 1995
Open Library ID
OL7807688M
Language
english
Format
DJVU
Filesize
3 MB (2913023 bytes)
Series
Mathematics and Its Applications
Edition
1
Pages
511\511
Library
Kolxo3
DPI
300
Scanned
yes
Time added
2010-07-29 05:14:56

Description

The present book is a continuation of the three-volume work Representation of Lie Groups and Special Functions by the same authors. Here, they deal with the exposition of the main new developments in the contemporary theory of multivariate special functions, bringing together material that has not been presented in monograph form before. The theory of orthogonal symmetric polynomials (Jack polynomials, Macdonald's polynomials and others) and multivariate hypergeometric functions associated to symmetric polynomials are treated. Multivariate hypergeometric functions, multivariate Jacobi polynomials and h-harmonic polynomials connected with root systems and Coxeter groups are introduced. Also, the theory of Gel'fand hypergeometric functions and the theory of multivariate hypergeometric series associated to Clebsch--Gordan coefficients of the unitary group U(n) is given. The volume concludes with an extensive bibliography. For research mathematicians and physicists, postgraduate students in mathematics and mathematical and theoretical physics.

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