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arXiv · 1204.3399

On a strange evaluation of the hypergeometric series by Gosper

Akihito Ebisu
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Abstract

In a series of letters to D.Stanton, R.W.Gosper presented many strange evaluations of hypergeometric series. Recently, we rediscovered one of the strange hypergeometric identities appearing in [Go]. In this paper, we prove this identity and derive its generalization using contiguity operators. Key Words and Phrases: hypergeometric series, strange evaluation, contiguity operator. 2010 Mathematics Subject Classification Numbers: 33C05.

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Akihito Ebisu. 2012-04-16. On a strange evaluation of the hypergeometric series by Gosper. https://arxiv.org/abs/1204.3399

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