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Convergent expansions of the incomplete gamma functions in terms of elementary functions
dc.creator | Bujanda Cirauqui, Blanca | es_ES |
dc.creator | López García, José Luis | es_ES |
dc.creator | Pagola Martínez, Pedro Jesús | es_ES |
dc.date.accessioned | 2018-12-14T12:04:15Z | |
dc.date.available | 2018-12-14T12:04:15Z | |
dc.date.issued | 2017 | |
dc.identifier.issn | 0219-5305 (Print) | |
dc.identifier.issn | 1793-6861 (Electronic) | |
dc.identifier.uri | https://hdl.handle.net/2454/31776 | |
dc.description.abstract | We consider the incomplete gamma function γ(a,z) for Ra>0 and z∈C. We derive several convergent expansions of z−aγ(a,z) in terms of exponentials and rational functions of z that hold uniformly in z with Rz bounded from below. These expansions, multiplied by ez, are expansions of ezz−aγ(a,z) uniformly convergent in z with Rz bounded from above. The expansions are accompanied by realistic error bounds. | en |
dc.description.sponsorship | This 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 by its financial support. | en |
dc.format.extent | 15 p. | |
dc.format.mimetype | application/pdf | en |
dc.language.iso | eng | en |
dc.publisher | World Scientific Publishing | en |
dc.relation.ispartof | Analysis and Applications, vol. 16, no. 03 | en |
dc.subject | Incomplete gamma functions | en |
dc.subject | Convergent expansions | en |
dc.subject | Uniform expansions | en |
dc.title | Convergent expansions of the incomplete gamma functions in terms of elementary functions | en |
dc.type | info:eu-repo/semantics/article | en |
dc.type | Artículo / Artikulua | es |
dc.contributor.department | Ingeniería Matemática e Informática | es_ES |
dc.contributor.department | Matematika eta Informatika Ingeniaritza | eu |
dc.contributor.department | Institute for Advanced Materials and Mathematics - INAMAT2 | es_ES |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | en |
dc.rights.accessRights | Acceso abierto / Sarbide irekia | es |
dc.identifier.doi | 10.1142/S0219530517500099 | |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2014-53178-P/ES/ | en |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//TEC2013-45585-C2-1-R/ES/ | en |
dc.relation.publisherversion | https://doi.org/10.1142/S0219530517500099 | |
dc.type.version | info:eu-repo/semantics/acceptedVersion | en |
dc.type.version | Versión aceptada / Onetsi den bertsioa | es |
dc.contributor.funder | Universidad Pública de Navarra / Nafarroako Unibertsitate Publikoa | es |