Artículo
Derivatives of any order of the hypergeometric function pFq(a1, ..., ap; b1, ..., bq; z) with respect to the parameters ai and bi
Fecha de publicación:
02/2010
Editorial:
IOP Publishing
Revista:
Journal of Physics A: Mathematical and Theoretical
ISSN:
1751-8113
e-ISSN:
1751-8121
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
The derivatives of any order of the general hypergeometric function pFq(a1.....ap; b1.....bq;z) with respect to the parameters a; or bj 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 nonhomogeneous differential equations for pFq(a1.....ap; b1.....bq;z). An application to Hahn polynomials, which are 3F2 functions, is given as an illustration.
Palabras clave:
Hypergeometric Functions
,
Gauss Functions
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Identificadores
Colecciones
Articulos(IFISUR)
Articulos de INSTITUTO DE FISICA DEL SUR
Articulos de INSTITUTO DE FISICA DEL SUR
Citación
Ancarani, L.U.; Gasaneo, Gustavo; Derivatives of any order of the hypergeometric function pFq(a1, ..., ap; b1, ..., bq; z) with respect to the parameters ai and bi; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 43; 8; 2-2010; 1-11
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