A Note on Generalization of Combinatorial Identities Due to Gould and Touchard

Abstract

Using a hypergeometric series approach, a general combinatorial identity is found in this note, and among its special cases are well-known and classical combinatorial identities due to Gould and Touchard.

Keywords

• combinatorial identities
• Gould
• Touchard
• hypergeometric series
• Gauss summation theorem