On a claim of Ramanujan about certain hypergeometric series

Author:

Bradley David

Abstract

We state and prove a claim of Ramanujan. As a consequence, a large new class of Saalschützian hypergeometric series is summed in closed form.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference5 articles.

1. Richard Askey and Mourad Ismail, A combinatorial sum, MRC Technical Summary Report #1557, July 1975, unpublished.

2. W. N. Bailey, Generalized hypergeometric series, Cambridge Univ. Press, London, 1935.

3. Ramanujan’s Notebooks

4. G. H. Hardy, A chapter from Ramanujan’s note-book, Proc. Cambridge Philos. Soc. 21 (1923), 492-503.

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On formulas of Ramanujan and Evans;The Ramanujan Journal;2006-06

2. An entry of Ramanujan on hypergeometric series in his Notebooks;Journal of Computational and Applied Mathematics;2005-01

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