ENGLISH

Representation of Lie groups and special functions

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

Book information

Publisher
Springer
Year
1991
ISBN
0792314662, 9780792314660
LCC
QA171 .V46 1991
Open Library ID
OL1550796M
Language
english
Format
DJVU
Filesize
3 MB (3532101 bytes)
Series
Mathematics and its Applications
Volume
Vol.1
Edition
1
Pages
634\634
Library
Kolxo3
DPI
300
Scanned
yes
Time added
2010-07-29 05:14:56

Description

This is the first of three major volumes which present a comprehensive treatment of the theory of the main classes of special functions from the point of view of the theory of group representations. This volume deals with the properties of classical orthogonal polynomials and special functions which are related to representations of groups of matrices of second order and of groups of triangular matrices of third order. This material forms the basis of many results concerning classical special functions such as Bessel, MacDonald, Hankel, Whittaker, hypergeometric, and confluent hypergeometric functions, and different classes of orthogonal polynomials, including those having a discrete variable. Many new results are given. The volume is self-contained, since an introductory section presents basic required material from algebra, topology, functional analysis and group theory. For research mathematicians, physicists and engineers.

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