An entry of Ramanujan on hypergeometric series in his Notebooks

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:173

Article

Rao, KS ; Vanden Berghe, G ; Krattenthaler, C

关键词: hypergeometric functions;    gamma function;    digamma function;    Ramanujan's Notebooks;    summation theorems;   

DOI  :  10.1016/j.cam.2004.03.009

来源: Elsevier

【 摘 要 】

Example 7, after Entry 43, in Chapter XII of the first Notebook of Srinivasa Ramanujan is proved and, more generally, a summation theorem for F-3(2)(a,a,x; 1+a, 1+a+N; 1), where N is a nonnegative integer, is derived. (C) 2004 Elsevier B.V. All rights reserved.

【 授权许可】

Free