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arxiv: 1410.5636 · v5 · pith:5KDJLMATnew · submitted 2014-10-21 · 🧮 math.CA · math.CO

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

classification 🧮 math.CA math.CO
keywords nonterminatinggasperproofrahmanseriesstrangesummationabel
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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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