Derivatives of any order of the Gaussian hypergeometric function 2F1( a,b,c;z) with respect to the parameters a, b and c

Autores
Ancaran, L. U.; Gasaneo, Gustavo
Año de publicación
2009
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The derivatives to any order of the Gaussian hypergeometric function 2F1(a, b, c; z) with respect to the parameters a, b and c are expressed in terms of generalizations of multivariable Kampé de Fériet functions. Several properties are presented. In an application to the two-body Coulomb scattering problem, the usefulness of these derivatives is illustrated with the study of the charge dependence of Pollaczek-like polynomials.
Fil: Ancaran, L. U.. Université Paul Verlaine-Metz; Francia
Fil: Gasaneo, Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Física del Sur. Universidad Nacional del Sur. Departamento de Física. Instituto de Física del Sur; Argentina
Materia
Gauss Function
2f1 Function
Hypergeometric
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/69671
Acceder
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network_acronym_str CONICETDig
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network_name_str CONICET Digital (CONICET)
spelling Derivatives of any order of the Gaussian hypergeometric function 2F1( a,b,c;z) with respect to the parameters a, b and cAncaran, L. U.Gasaneo, GustavoGauss Function2f1 FunctionHypergeometrichttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1The derivatives to any order of the Gaussian hypergeometric function 2F1(a, b, c; z) with respect to the parameters a, b and c are expressed in terms of generalizations of multivariable Kampé de Fériet functions. Several properties are presented. In an application to the two-body Coulomb scattering problem, the usefulness of these derivatives is illustrated with the study of the charge dependence of Pollaczek-like polynomials.Fil: Ancaran, L. U.. Université Paul Verlaine-Metz; FranciaFil: Gasaneo, Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Física del Sur. Universidad Nacional del Sur. Departamento de Física. Instituto de Física del Sur; ArgentinaIOP Publishing2009-09-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/69671Ancaran, L. U.; Gasaneo, Gustavo; Derivatives of any order of the Gaussian hypergeometric function 2F1( a,b,c;z) with respect to the parameters a, b and c; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 42; 39; 11-9-2009; 1-101751-8113CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/1751-8113/42/39/395208/pdfinfo:eu-repo/semantics/altIdentifier/doi/10.1088/1751-8113/42/39/395208info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:46:34Zoai:ri.conicet.gov.ar:11336/69671instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 09:46:34.788CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Derivatives of any order of the Gaussian hypergeometric function 2F1( a,b,c;z) with respect to the parameters a, b and c
title Derivatives of any order of the Gaussian hypergeometric function 2F1( a,b,c;z) with respect to the parameters a, b and c
spellingShingle Derivatives of any order of the Gaussian hypergeometric function 2F1( a,b,c;z) with respect to the parameters a, b and c
Ancaran, L. U.
Gauss Function
2f1 Function
Hypergeometric
title_short Derivatives of any order of the Gaussian hypergeometric function 2F1( a,b,c;z) with respect to the parameters a, b and c
title_full Derivatives of any order of the Gaussian hypergeometric function 2F1( a,b,c;z) with respect to the parameters a, b and c
title_fullStr Derivatives of any order of the Gaussian hypergeometric function 2F1( a,b,c;z) with respect to the parameters a, b and c
title_full_unstemmed Derivatives of any order of the Gaussian hypergeometric function 2F1( a,b,c;z) with respect to the parameters a, b and c
title_sort Derivatives of any order of the Gaussian hypergeometric function 2F1( a,b,c;z) with respect to the parameters a, b and c
dc.creator.none.fl_str_mv Ancaran, L. U.
Gasaneo, Gustavo
author Ancaran, L. U.
author_facet Ancaran, L. U.
Gasaneo, Gustavo
author_role author
author2 Gasaneo, Gustavo
author2_role author
dc.subject.none.fl_str_mv Gauss Function
2f1 Function
Hypergeometric
topic Gauss Function
2f1 Function
Hypergeometric
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv The derivatives to any order of the Gaussian hypergeometric function 2F1(a, b, c; z) with respect to the parameters a, b and c are expressed in terms of generalizations of multivariable Kampé de Fériet functions. Several properties are presented. In an application to the two-body Coulomb scattering problem, the usefulness of these derivatives is illustrated with the study of the charge dependence of Pollaczek-like polynomials.
Fil: Ancaran, L. U.. Université Paul Verlaine-Metz; Francia
Fil: Gasaneo, Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Física del Sur. Universidad Nacional del Sur. Departamento de Física. Instituto de Física del Sur; Argentina
description The derivatives to any order of the Gaussian hypergeometric function 2F1(a, b, c; z) with respect to the parameters a, b and c are expressed in terms of generalizations of multivariable Kampé de Fériet functions. Several properties are presented. In an application to the two-body Coulomb scattering problem, the usefulness of these derivatives is illustrated with the study of the charge dependence of Pollaczek-like polynomials.
publishDate 2009
dc.date.none.fl_str_mv 2009-09-11
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/69671
Ancaran, L. U.; Gasaneo, Gustavo; Derivatives of any order of the Gaussian hypergeometric function 2F1( a,b,c;z) with respect to the parameters a, b and c; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 42; 39; 11-9-2009; 1-10
1751-8113
CONICET Digital
CONICET
url http://hdl.handle.net/11336/69671
identifier_str_mv Ancaran, L. U.; Gasaneo, Gustavo; Derivatives of any order of the Gaussian hypergeometric function 2F1( a,b,c;z) with respect to the parameters a, b and c; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 42; 39; 11-9-2009; 1-10
1751-8113
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/1751-8113/42/39/395208/pdf
info:eu-repo/semantics/altIdentifier/doi/10.1088/1751-8113/42/39/395208
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv IOP Publishing
publisher.none.fl_str_mv IOP Publishing
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1842268803769040896
score 13.13397

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