Book:W.N. Bailey/Generalized Hypergeometric Series

Subject Matter

 * Analytic Number Theory

Contents

 * Preface


 * $1$ The hypergeometric series


 * $2$ Generalized hypergeometric series. Further results concerning ordinary hypergeometric series


 * $3$ Series of the type 3f2 with unit argument


 * $4$ Methods of Obtaining Transformations of Hypergeometric Series; (1) by summing series of lower order


 * $5$ Methods of Obtaining Transformations of Hypergeometric Series; (2) by Dougall's Method and Carlson's theorem


 * $6$ Methods of Obtaining Transformations of Hypergeometric Series; (3) by Barnes' contour integrals


 * $7$ Further transformations of well-poised series


 * $8$ Basic hypergeometric series


 * $9$ Appell's hypergeometric functions of two variables


 * $10$ Some miscellaneous results


 * Examples


 * Bibliography