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Revista Técnica de la Facultad de Ingeniería Universidad del Zulia
Print version ISSN 0254-0770
Abstract
CASTILLO P, Jaime and 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 Appells functions Fi(w,z) (i = 1,2,3), introducing parameters
. In this paper the generalized Appells 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 Appells functions. An application and various particular cases are also presented.
Keywords : Generalized Gauss hypergeometric series; generalized Appells functions; integral representations; recurrence relations; differentiation formulas.











