Convergent expansions of the incomplete gamma functions in terms of elementary functions
| dc.contributor.author | Bujanda Cirauqui, Blanca | |
| dc.contributor.author | López García, José Luis | |
| dc.contributor.author | Pagola Martínez, Pedro Jesús | |
| dc.contributor.department | Matematika eta Informatika Ingeniaritza | eu |
| dc.contributor.department | Institute for Advanced Materials and Mathematics - INAMAT2 | en |
| dc.contributor.department | Ingeniería Matemática e Informática | es_ES |
| dc.contributor.funder | Universidad Pública de Navarra / Nafarroako Unibertsitate Publikoa | es |
| dc.date.accessioned | 2018-12-14T12:04:15Z | |
| dc.date.available | 2018-12-14T12:04:15Z | |
| dc.date.issued | 2017 | |
| 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.identifier.doi | 10.1142/S0219530517500099 | |
| dc.identifier.issn | 0219-5305 (Print) | |
| dc.identifier.issn | 1793-6861 (Electronic) | |
| dc.identifier.uri | https://academica-e.unavarra.es/handle/2454/31776 | |
| dc.language.iso | eng | en |
| dc.publisher | World Scientific Publishing | en |
| dc.relation.ispartof | Analysis and Applications, vol. 16, no. 03 | en |
| dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2014-53178-P/ES/ | |
| dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//TEC2013-45585-C2-1-R/ES/ | |
| dc.relation.publisherversion | https://doi.org/10.1142/S0219530517500099 | |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | |
| 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 | |
| dc.type.version | info:eu-repo/semantics/acceptedVersion | |
| dspace.entity.type | Publication | |
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