Resumen

CASTILLO P, Jaime  y  GALUE, Leda. Some results on generalized Appell functionsAlgunos resultados sobre las funciones de Appell generalizadas. Rev. Téc. Ing. Univ. Zulia [online]. 2006, vol.29, n.1, pp.83-92. ISSN 0254-0770.

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 . In this paper the generalized Appell’s functions (w,z) (i = 1,2,3), are represented in terms of a generalization of the Gauss hypergeometric series , 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.

Palabras clave : Generalized Gauss hypergeometric series; generalized Appell’s functions; integral representations; recurrence relations; differentiation formulas.