On a strange evaluation of the hypergeometric series by Gosper
Classical Analysis and ODEs
2013-03-13 v2
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.
Keywords
Cite
@article{arxiv.1204.3399,
title = {On a strange evaluation of the hypergeometric series by Gosper},
author = {Akihito Ebisu},
journal= {arXiv preprint arXiv:1204.3399},
year = {2013}
}
Comments
8pages When compared to the previous version, we changed the title of the paper to "On a strange evaluation of the hypergeometric series by Gosper". Because we found a letter of R.W.Gosper to D. Stanton in which a spacial case of the main theorem in our paper was stated