# Book:W.N. Bailey/Generalized Hypergeometric Series

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## W.N. Bailey: *Generalized Hypergeometric Series*

Published $1964$, **Cambridge University Press**.

### Contents

- Preface
- Chapter I The hypergeometric series
- 1.1 Introduction

- 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