Some Results on Generalized Appell Functions

• Jaime Castillo P. Universidad de La Guajira, Facultad de Ingeniería
• Leda Galué Universidad del Zulia, Facultad de Ingeniería, Centro de Investigación de Matemática

Abstract

Recently A.  H. Al-Shammery and S.  L.  Kalla presented generalizations for the Appell”™s functions     F_i (w, z) (i = 1, 2, 3), introducing parameters  t, t'. In this paper the generalized Appell”™s functions F_i ^{t, t'} (w,z),  (i = 1,2,3) are represented in terms of a generalization of the Gauss hypergeometric series ₂R₁^t(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