Generalized hypergeometric functions
Lucy Joan Slater
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.
Kategoriler:
Yıl:
1966
Baskı:
Reissue
Yayımcı:
Cambridge University Press
Dil:
english
Sayfalar:
285
ISBN 10:
052106483X
ISBN 13:
9780521064835
Dosya:
DJVU, 1.73 MB
IPFS:
,
english, 1966