INVESTIGADORES
GASANEO Gustavo
artículos
Título:
Derivatives of any order of the hypergeometric function p Fq (a1 , . . . , ap ; b1 , . . . , bq ; z) with respect to the parameters ai and bi
Autor/es:
L. U. ANCARANI AND G. GASANEO
Revista:
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Editorial:
IOP PUBLISHING LTD
Referencias:
Año: 2010 vol. 43 p. 1 - 11
ISSN:
1751-8113
Resumen:
Abstract The derivatives of any order of the general hypergeometric function p Fq (a1 , . . . , ap ; b1 , . . . , bq ; z) with respect to the parameters ai or bi are expressed, in compact form, in terms of generalizations of multivariable Kampe de Feriet functions. To achieve this, use is made of Babister’s solution to non-homogeneous differential equations for p Fq (a1 , . . . , ap ; b1 , . . . , bq ; z). An application to Hahn polynomials, which are 3 F2 functions, is given as an illustration.