Some Convergent Summation Theorems For Appell’s Function F1 Having Arguments 􀀀����1; 1 2

Abstract

In this paper, we obtain some closed forms of hypergeometric summation theorems for Appell’s function of first kind F1 having the arguments 􀀀1; 1 2 with suitable convergence conditions, by adjustment of parameters and arguments in generalized form of first, second and third summation theorems of K¨ummer and others.