Book:W.N. Bailey/Generalized Hypergeometric Series

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W.N. Bailey: Generalized Hypergeometric Series

Published $\text {1935}$


Subject Matter


Contents

Preface
chapter $1$ The hypergeometric series
chapter $2$ Generalized hypergeometric series. Further results concerning ordinary hypergeometric series
chapter $3$ Series of the type 3f2 with unit argument
chapter $4$ Methods of Obtaining Transformations of Hypergeometric Series; (1) by summing series of lower order
chapter $5$ Methods of Obtaining Transformations of Hypergeometric Series; (2) by Dougall's Method and Carlson's theorem
chapter $6$ Methods of Obtaining Transformations of Hypergeometric Series; (3) by Barnes' contour integrals
chapter $7$ Further transformations of well-poised series
chapter $8$ Basic hypergeometric series
chapter $9$ Appell's hypergeometric functions of two variables
chapter $10$ Some miscellaneous results
Examples
Bibliography