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＜E-Book＞
Representation of Lie Groups and Special Functions : Recent Advances / by N.Ja. Vilenkin, A.U. Klimyk
(Mathematics and Its Applications ; 316)

Edition	1st ed. 1995.
Publisher	(Dordrecht : Springer Netherlands : Imprint: Springer)
Year	1995
Language	English
Size	XVI, 504 p : online resource
Authors	*Vilenkin, N.Ja author Klimyk, A.U author SpringerLink (Online service)
Subjects	LCSH:Special functions LCSH:Topological groups LCSH:Lie groups LCSH:Mathematics LCSH:Mathematical physics LCSH:Harmonic analysis FREE:Special Functions FREE:Topological Groups and Lie Groups FREE:Applications of Mathematics FREE:Theoretical, Mathematical and Computational Physics FREE:Abstract Harmonic Analysis
Notes	1: h-Harmonic Polynomials, h-Hankel Transform, and Coxeter Groups -- 2: Symmetric Polynomials and Symmetric Functions -- 3: Hypergeometric Functions Related to Jack Polynomials -- 4: Clebsch-Gordan Coefficients and Racah Coefficients of Finite Dimensional Representations -- 5: Clebsch-Gordan Coefficients of the group U(n) and Related Generalizations of Hypergeometric Functions -- 6: Gel’fand Hypergeometric Functions -- Supplementary Bibliography -- Bibliography Notes In 1991-1993 our three-volume book "Representation of Lie Groups and Spe­ cial Functions" was published. When we started to write that book (in 1983), editors of "Kluwer Academic Publishers" expressed their wish for the book to be of encyclopaedic type on the subject. Interrelations between representations of Lie groups and special functions are very wide. This width can be explained by existence of different types of Lie groups and by richness of the theory of their rep­ resentations. This is why the book, mentioned above, spread to three big volumes. Influence of representations of Lie groups and Lie algebras upon the theory of special functions is lasting. This theory is developing further and methods of the representation theory are of great importance in this development. When the book "Representation of Lie Groups and Special Functions" ,vol. 1-3, was under preparation, new directions of the theory of special functions, connected with group representations, appeared. New important results were discovered in the traditional directions. This impelled us to write a continuation of our three-volume book on relationship between representations and special functions. The result of our further work is the present book. The three-volume book, published before, was devoted mainly to studying classical special functions and orthogonal polynomials by means of matrix elements, Clebsch-Gordan and Racah coefficients of group representations and to generaliza­ tions of classical special functions that were dictated by matrix elements of repre­ sentations HTTP:URL=https://doi.org/10.1007/978-94-017-2885-0

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