A New Identity for Generalized Hypergeometric Functions and Applications

Abstract

We establish a new identity for generalized hypergeometric functions and apply it for first- and second-kind Gauss summation formulas to obtain some new summation formulas. The presented identity indeed extends some results of the recent published paper (Some summation theorems for generalized hypergeometric functions, Axioms, 7 (2018), Article 38).

Keywords

• generalized hypergeometric functions
• Gauss and confluent hypergeometric functions
• summation theorems of hypergeometric functions