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Representation of Lie Groups and Special Functions
N.Ja. VilenkinA.U. Klimyk
其他書名
Volume 1: Simplest Lie Groups, Special Functions and Integral Transforms
出版Springer Science & Business Media, 2012-12-06
主題Mathematics / Mathematical AnalysisMathematics / Group TheoryScience / Physics / Mathematical & ComputationalMathematics / Functional AnalysisMathematics / Complex AnalysisMathematics / Calculus
ISBN940113538X9789401135382
URLhttp://books.google.com.hk/books?id=_g7vCAAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋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.