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Representation of Lie groups and special functions PDF

635 Pages·1991·11.252 MB·English
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by N I︠A︡ Vilenkin; A U Klimyk| 1991| 635 pages| 11.252| English

About Representation of Lie groups and special functions

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

Detailed Information

Author:N I︠A︡ Vilenkin; A U Klimyk
Publication Year:1991
ISBN:9780792314943
Pages:635
Language:English
File Size:11.252
Format:PDF
Price:FREE
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