Generalized Hypergeometric Functions - Softcover

Slater, Lucy Joan

Softcover

ISBN 10: 052109061X ISBN 13: 9780521090612

Publisher: Cambridge University Press, 2009

Synopsis

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.

About this title

Book Description

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.

About the Author

Candace Slater is Professor of Spanish and Portuguese at the University of California, Berkeley. Her two previous books, "Stories on a String: The Brazilian Literatura de Cordel" and "Trail of Miracles: Stories from a Pilgrimage in Northeastern Brazil", are published by California, as is her translation of the poetry of Manuel Bandeira, "This Earth, That Sky". "Stories on a String" is now available in paperback.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2009
• Language: English
• ISBN 10: 052109061X
• ISBN 13: 9780521090612
• Binding: Paperback
• Number of pages: 288