
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).
Generalized hypergeometric series, \({}_pF_q\), summation theorems of hypergeometric functions, Gauss and confluent hypergeometric functions, 510, Classical hypergeometric functions, \({}_2F_1\), Numerical summation of series, generalized hypergeometric functions, QA1-939, Mathematics
Generalized hypergeometric series, \({}_pF_q\), summation theorems of hypergeometric functions, Gauss and confluent hypergeometric functions, 510, Classical hypergeometric functions, \({}_2F_1\), Numerical summation of series, generalized hypergeometric functions, QA1-939, Mathematics
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