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Representation of Lie Groups and Special Functions 1991st ed.(Mathematics and its Applications Vol.72) H XXIII, 612 p. 91

Vilenkin , N.Ja., Klimyk, A.U. 　著

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発行年月	1991年11月
出版社／提供元	Springer Netherlands
出版国	オランダ
言語	英語
媒体	冊子
装丁	hardcover
ページ数／巻数	XXIII, 612 p.
ジャンル	洋書／理工学／数学／解析学
ISBN	9780792314660
商品コード	0209131336
本の性格	学術書
商品URL	https://kw.maruzen.co.jp/ims/itemDetail.html?itmCd=0209131336

内容

One service mathematici has rendered the 'Et moi, ...• si j'avait IU comment en revenir. je n'y serais point alle.' human race. It has put common sense back Jules Verne where it belong., on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense', Eric T. Bell able to do something with it. O. H eaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other pans and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'el;re of this series.

Series Editor's Preface. Preface. List of Special Symbols. 0: Introduction. 1: Elements of the Theory of Lie Groups and Lie Algebras. 2: Group Representations and Harmonic Analysis on Groups. 3: Commutative Groups and Elementary Functions. The Group of Linear Transformations of the Straight Line and the Gamma-Function. Hypergeometric Functions. 4: Representations of the Groups of Motions of Euclidean and Pseudo-Euclidean Planes, and Cylindrical Functions. 5: Representations of Groups of Third Order Triangular Matrices, the Confluent Hypergeometric Function and Related Polynomials and Functions. 6: Representations of the Groups SU (2), SU (1,1) and Related Special Functions: Legendre, Jacobi, Chebyshev Polynomials and Functions, Gegenbauer, Krawtchouk, Meixner Polynomials. 7: Representations of the Groups SU (1,1) and SL (2, R) in Mixed Bases. The Hypergeometric Function. 8: Clebsch-Gordan Coefficients, Racah Coefficients, and Special Functions. Bibliography. Subject Index.

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