Book:W.N. Bailey/Generalized Hypergeometric Series

W.N. Bailey: Generalized Hypergeometric Series

Published $1964$, Cambridge University Press.

Contents

Preface
Chapter I The hypergeometric series
1.1 Introduction
Pochhammer
Hypergeometric 2F1
Chapter II Generalized hypergeometric series. Further results concerning ordinary hypergeometric series
Chapter III Series of type ${}_3F_2$ with unit argument
Chapter IV Methods of obtaining transformations of hypergeometric series; (1) by summing series of lower order
Chapter V Methods of obtaining transformations of hypergeometric series; (2) by Dougall's method and Carlson's theorem
Chapter VI Methods of obtaining transformations of hypergeometric series; (3) by Barnes' contour integral
Chapter VII Basic hypergeometric series
Chapter IX Appell's hypergeometric functions of two variables
Chapter X Some miscellaneous results
Examples
Bibliography