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

Chenying Wang; Xiaojing Chen

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

Classical Analysis and ODEs 2015-04-27 v5 Combinatorics

Authors: Chenying Wang , Xiaojing Chen

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.

Keywords

hypergeometric series summation formula Abel lemma summation by parts Gasper and Rahman Gosper conjecture nonterminating series

Cite

@article{arxiv.1410.5636,
  title  = {A new proof for a nonterminating "strange" hypergeometric evaluation of Gasper and Rahman},
  author = {Chenying Wang and Xiaojing Chen},
  journal= {arXiv preprint arXiv:1410.5636},
  year   = {2015}
}

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This paper has been withdrawn by the author due to some mistakes

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

Abstract

Keywords

Cite

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