English

On a strange evaluation of the hypergeometric series by Gosper. II

Classical Analysis and ODEs 2017-03-21 v2

Abstract

There are many identities for the hypergeometric series presented in the article "Special values of the hypergeometric series" by Ebisu. In this note, we obtain a new hypergeometric identity, which includes some of these identities as special cases. We notice that this identity closely relates to a strange evaluation by Gosper. Key Words and Phrases: the hypergeometric series, hypergeometric identity.

Keywords

Cite

@article{arxiv.1608.04315,
  title  = {On a strange evaluation of the hypergeometric series by Gosper. II},
  author = {Akihito Ebisu},
  journal= {arXiv preprint arXiv:1608.04315},
  year   = {2017}
}

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5 pages