A new two-term relation for the 3F2 hypergeometric function of unit argument

✍ Scribed by H. Exton

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 113 KB
• Volume: 106
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/s0377-0427(99)00077-1

✦ Synopsis

The elementary manipulation of series together with summations of Gauss, Saalschutz and Dixon are employed to deduce a two-term relation for the hypergeometric function 3F2(1) and a summation formula for the same function, neither of which has previously appeared in the literature. The two-term relation has implications in the calculus of finite differences.