%0 Journal Article %T A New Identity for Generalized Hypergeometric Functions and Applications %A Mohammad Masjed-Jamei %A Wolfram Koepf %J - %D 2019 %R https://doi.org/10.3390/axioms8010012 %X 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). View Full-Tex %K generalized hypergeometric functions %K Gauss and confluent hypergeometric functions %K summation theorems of hypergeometric functions %U https://www.mdpi.com/2075-1680/8/1/12