Some results on generalized Appell functions

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1. Verfasser: Jaime Castillo P.
Format: Artículo científico
Sprache:en
Veröffentlicht: Universidad del Zulia 2006
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author Jaime Castillo P.
author_facet Jaime Castillo P.
contents Some results on generalized Appell functions Jaime Castillo P. Leda Galué Ingeniería recurrence relations integral representations differentiation formulas generalized Appell’s functions Generalized Gauss hypergeometric series 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 . 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. 2006 artículo científico 0254-0770 https://www.redalyc.org/articulo.oa?id=605767239010 en http://www.redalyc.org/revista.oa?id=6057 Revista Técnica de la Facultad de Ingeniería, Universidad del Zulia application/pdf Universidad del Zulia Revista Técnica de la Facultad de Ingeniería, Universidad del Zulia (República Bolivariana de Venezuela) Num.1 Vol.29
format Artículo científico
id redalyc_605767239010
institution Redalyc
language en
publishDate 2006
publisher Universidad del Zulia
spellingShingle Some results on generalized Appell functions
Jaime Castillo P.
Ingeniería
recurrence relations
integral representations
differentiation formulas
generalized Appell’s functions
Generalized Gauss hypergeometric series
Some results on generalized Appell functions Jaime Castillo P. Leda Galué Ingeniería recurrence relations integral representations differentiation formulas generalized Appell’s functions Generalized Gauss hypergeometric series 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 . 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. 2006 artículo científico 0254-0770 https://www.redalyc.org/articulo.oa?id=605767239010 en http://www.redalyc.org/revista.oa?id=6057 Revista Técnica de la Facultad de Ingeniería, Universidad del Zulia application/pdf Universidad del Zulia Revista Técnica de la Facultad de Ingeniería, Universidad del Zulia (República Bolivariana de Venezuela) Num.1 Vol.29
title Some results on generalized Appell functions
topic Ingeniería
recurrence relations
integral representations
differentiation formulas
generalized Appell’s functions
Generalized Gauss hypergeometric series
url https://www.redalyc.org/articulo.oa?id=605767239010