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

preprint2015arXivOpen access

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

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