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arXiv · 1410.5636

A new proof for a nonterminating "strange" hypergeometric evaluation of Gasper and Rahman

Chenying Wang·Xiaojing Chen
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Abstract

An elementary proof is given for a nonterminating "strange" cubic $_7F_6$-series summation formula of Gasper and Rahman, through the modified Abel lemma on summation by parts. As a byproduct, an interesting nonterminating $_3F_2({3}/{4})$-series identity conjectured by Gosper, is also rederived.

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Chenying Wang, Xiaojing Chen. 2015-04-24. A new proof for a nonterminating "strange" hypergeometric evaluation of Gasper and Rahman. https://arxiv.org/abs/1410.5636

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