On a strange evaluation of the hypergeometric series by Gosper

2012/04/16 by Akihito Ebisu, Ebisu, Akihito · 1 citation
Mathematics · #33C05 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:33C05

paper · pdf · doi:10.48550/arxiv.1204.3399

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

arxiv created 2013/03/12 · arxiv updated 2013/03/13

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.

Cited by

• A q-analogue of Gosper's strange evaluation of the hypergeometric series

Related

• On a strange evaluation of the hypergeometric series by Gosper. II
• Hypergeometric evaluation identities and supercongruences
• A q-analogue of Gosper's strange evaluation of the hypergeometric series
• Searching for Strange Hypergeometric Identities By Sheer Brute Force
• Special values of the hypergeometric series