Summation formulas for Gauss’s and Clausen’s hypergeometric functions

This is the authors' abstract. We don't add key points for this paper.

In this paper, we utilize the general hypergeometric identity established by Masjed-Jamei and Koepf [5]to derive several summation formulas for Gauss’s and Clausen’s hypergeometric functions. As an applica-tion of our main results, we also evaluate specific values of Clausen’s hypergeometric function for various arguments.