Show simple item record

dc.creatorFerreira González, Cheloes_ES
dc.creatorLópez García, José Luises_ES
dc.creatorPérez Sinusía, Esteres_ES
dc.date.accessioned2018-12-14T12:04:17Z
dc.date.available2019-09-28T23:00:10Z
dc.date.issued2018
dc.identifier.issn1065-2469 (Print)
dc.identifier.issn1476-8291 (Electronic)
dc.identifier.urihttps://hdl.handle.net/2454/31781
dc.descriptionThis is an accepted manuscript of an article published by Taylor & Francis in Integral Transforms and Special Functions on 2018-09-28, available online: https://doi.org/10.1080/10652469.2018.1525369en
dc.description.abstractWe consider the hypergeometric function 2F1(a, b; c; z) for z ∈ C \ [1,∞). For Ra ≥ 0, we derive a convergent expansion of 2F1(a, b; c; z) in terms of the function (1 − z)−a and of rational functions of z that is uniformly valid for z in any compact in C \ [1,∞). When a ∈ N, the expansion also contains a logarithmic term of the form log(1 − z). For Ra ≤ 0, we derive a convergent expansion of (1 − z)a 2F1(a, b; c; z) in terms of the function (1 − z)−a and of rational functions of z that is uniformly valid for z in any compact in C \ [1,∞) in the exterior of the circle |z − 1| = r for arbitrary r > 0. The expansions are accompanied by realistic error bounds. Some numerical experiments show the accuracy of the approximation.en
dc.description.sponsorshipThis research was supported by Ministerio de Economía, Industria y Competitividad, Gobierno de España (MTM2017-83490-P).en
dc.format.extent14 p.
dc.format.mimetypeapplication/pdfen
dc.language.isoengen
dc.publisherTaylor & Francisen
dc.relation.ispartofIntegral Transforms and Special Functions 2018, Vol. 29, No. 12, 942–954en
dc.rights© 2018 Informa UK Limited, trading as Taylor & Francis Groupen
dc.subjectHypergeometric functionen
dc.subjectConvergent expansionsen
dc.subjectUniform expansionsen
dc.titleUniform convergent expansions of the Gauss hypergeometric function in terms of elementary functionsen
dc.typeinfo:eu-repo/semantics/articleen
dc.typeArtículo / Artikuluaes
dc.contributor.departmentUniversidad Pública de Navarra. Departamento de Ingeniería Matemática e Informáticaes_ES
dc.contributor.departmentNafarroako Unibertsitate Publikoa. Matematika eta Informatika Ingeniaritza 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.embargo.terms2019-09-28
dc.identifier.doi10.1080/10652469.2018.1525369
dc.relation.projectIDinfo:eu-repo/grantAgreement/ES/2PE/MTM2017-83490en
dc.relation.publisherversionhttps://doi.org/10.1080/10652469.2018.1525369
dc.type.versioninfo:eu-repo/semantics/acceptedVersionen
dc.type.versionVersión aceptada / Onetsi den bertsioaes


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record