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