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dc.creatorBujanda Cirauqui, Blancaes_ES
dc.creatorLópez García, José Luises_ES
dc.creatorPagola Martínez, Pedro Jesúses_ES
dc.date.accessioned2018-12-14T12:04:16Z
dc.date.available2018-12-14T12:04:16Z
dc.date.issued2018
dc.identifier.issn0025-5718 (Print)
dc.identifier.issn1088-6842 (Electronic)
dc.identifier.urihttps://hdl.handle.net/2454/31779
dc.description.abstractWe consider the confluent hypergeometric function M(a, b; z) for z ∈ C and Rb >Ra > 0, and the confluent hypergeometric function U(a, b; z) for b ∈ C, Ra > 0, and Rz > 0. We derive two convergent expansions of M(a, b; z); one of them in terms of incomplete gamma functions γ(a, z) and another one in terms of rational functions of ez and z. We also derive a convergent expansion of U(a, b; z) in terms of incomplete gamma functions γ(a, z) and Γ(a, z). The expansions of M(a, b; z) hold uniformly in either Rz ≥ 0 or Rz ≤ 0; the expansion of U(a, b; z) holds uniformly in Rz > 0. The accuracy of the approximations is illustrated by means of some numerical experiments.en
dc.description.sponsorshipThis research was supported by the Spanish Ministry of Economía y Competitividad, projects MTM2014-53178-P and TEC2013-45585-C2-1-R. The Universidad Pública de Navarra is acknowledged for its financial support.en
dc.format.extent18 p.
dc.format.mimetypeapplication/pdfen
dc.language.isoengen
dc.publisherAmerican Mathematical Societyen
dc.relation.ispartofMathematics of Computation, Volume 88, Number 318, July 2019, Pages 1773–1789en
dc.rights© Copyright 2018 American Mathematical Societyen
dc.subjectConfluent hypergeometric functionsen
dc.titleConvergent expansions of the confluent hypergeometric functions in terms of elementary functionsen
dc.typeinfo:eu-repo/semantics/articleen
dc.typeArtículo / Artikuluaes
dc.contributor.departmentUniversidad Pública de Navarra. Departamento de Estadística, Informática y Matemáticases_ES
dc.contributor.departmentNafarroako Unibertsitate Publikoa. Estatistika, Informatika eta Matematika Sailaeu
dc.contributor.departmentUniversidad Pública de Navarra / Nafarroako Unibertsitate Publikoa. InaMat - Institute for Advanced Materialses_ES
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen
dc.rights.accessRightsAcceso abierto / Sarbide irekiaes
dc.identifier.doi10.1090/mcom/3389
dc.relation.projectIDinfo:eu-repo/grantAgreement/ES/1PE/MTM2014-53178-P
dc.relation.projectIDinfo:eu-repo/grantAgreement/ES/1PE/TEC2013-45585
dc.relation.publisherversionhttps://doi.org/10.1090/mcom/3389en
dc.type.versioninfo:eu-repo/semantics/acceptedVersionen
dc.type.versionVersión aceptada / Onetsi den bertsioaes
dc.contributor.funderUniversidad Pública de Navarra / Nafarroako Unibertsitate Publikoaen


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