Akihito Ebisu
Published 2012-04-16, updated 2013-03-12Version 2
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.
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
Some special values of hypergeometric series related to central values of automorphic $L$-functions
$Γ$-evaluations of hypergeometric series
On some identities appearing in "Special values of the hypergeometric series" by Ebisu
![QR code for arXiv:1204.3399 [math.CA]](http://oss.arxitics.com/images/favicon.svg)