Cover of Generalized Hypergeometric Functions by Slater, Lucy Joan, ISBN 9780521090612
Mathematical Analysis

Generalized Hypergeometric Functions

GENERALIZED HYPERGEOMETRIC FUN

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Paperback ยท ISBN 9780521090612

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Key Specifications

ISBN 9780521090612
Subtitle GENERALIZED HYPERGEOMETRIC FUN
Publisher Cambridge University Press
Publication date November 2008
Language English
MRP ยฃ49.00 GBP
Page count 288
Item weight 94 g

The theory of generalized hypergeometric functions is fundamental in the field of mathematical physics, since all the commonly used functions of analysis (Besse] Functions, Legendre Functions, etc.) are special cases of the general functions. The unified theory provides a means for the analysis of the simpler functions and can be used to solve the more complicated equations in physics. The generalized Gauss function is also used in mathematical statistics and the basic analogues of the Gauss functions have applications in the field of number theory. Dr Slater's treatment leads on from a discussion of the Gauss functions to the basic hypergeometric functions, the hypergeometric integrals, bilateral series and Appel series. This book was planned jointly with the late Professor W. N. Bailey as an extended revision of his Cambridge Mathematical Tract (1935) on the subject and Dr Slater has continued it single-handed since Professor Bailey's death, incorporating in it the results of many of her own researches.