Bilateral binomial duplication formula

2006/09/25 by Martin Erik Horn, Horn, Martin Erik
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #General Mathematics (math.GM) #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.math/0609689

openalex publication_date 2006/09/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The bilateral binomial theorem with step width two gives a bilateral hypergeometric formula for 2H2(a, a+1/2; c, c+1/2; z).

Related

• The Bilateral Vandermonde Convolution
• Several transformation formulas involving bilateral basic hypergeometric series
• Transformations and summations for bilateral basic hypergeometric series
• Asymptotic formulae of two divergent bilateral basic hypergeometric series
• An asymptotic formula of the divergent bilateral basic hypergeometric series