Some Results on Generalized Appell Functions

Abstract

Recently A. H. Al-Shammery and S. L. Kalla presented generalizations for the Appell”™s functions    Fi (w, z) (i = 1, 2, 3), introducing parameters t, t'. In this paper the generalized Appell”™s functions Fi t, t' (w,z), (i = 1,2,3) are represented in terms of a generalization of the Gauss hypergeometric series 2R1t(Z), in order to establish some integral representations, recurrence relations and differentiation formulas for generalized Appell”™s functions. An application and various particular cases are also presented