Publication: New asymptotic expansion and error bound for Stirling formula of reciprocal Gamma function
dc.contributor.author | Pagola Martínez, Pedro Jesús | |
dc.contributor.department | Ingeniería Matemática e Informática | es_ES |
dc.contributor.department | Matematika eta Informatika Ingeniaritza | eu |
dc.contributor.funder | Universidad Pública de Navarra / Nafarroako Unibertsitate Publikoa | es |
dc.date.accessioned | 2019-01-23T09:18:49Z | |
dc.date.available | 2019-01-23T09:18:49Z | |
dc.date.issued | 2018 | |
dc.description.abstract | Studying the problem about if certain probability measures are determinate by its moments [4, 8, 10] is useful to know the asymptotic behavior of the probability densities for large values of argument. This requires, previously, the knowledge of the asymptotic expansion of reciprocal Gamma function 1/Γ(z) when ℜz is large and ℑz is fixed [8]. Then, the well known Stirling formula for large |z| of the Gamma function Γ(z) or its reciprocal 1/Γ(z) is not appropriate for this problem. So, the main aim of this paper is to obtain a new asymptotic expansion for reciprocal Gamma function valid for large ℜz and establish a new explicit error bound for the first term of this expansion, that is, the Stirling formula. | en |
dc.description.sponsorship | This research was supported by the Spanish Ministry of Economía y Competitividad, project MTM2014-52859. The Universidad Pública de Navarra is acknowledged by its financial support. | en |
dc.format.mimetype | application/pdf | en |
dc.identifier.doi | 10.7153/mia-2018-21-65 | |
dc.identifier.issn | 1331-4343 (Print) | |
dc.identifier.issn | 1848-9966 (Electronic) | |
dc.identifier.uri | https://academica-e.unavarra.es/handle/2454/32068 | |
dc.language.iso | eng | en |
dc.publisher | Ele-Math | en |
dc.relation.ispartof | Mathematical Inequalities & Applications, vol 21, number 4 (2018), 957-965 | en |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2014-52859-P/ES/ | en |
dc.relation.publisherversion | dx.doi.org/10.7153/mia-2018-21-65 | |
dc.rights | © Element, Zagreb | en |
dc.rights.accessRights | Acceso abierto / Sarbide irekia | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | en |
dc.subject | Reciprocal gamma function | en |
dc.subject | Asymptotic expansions | en |
dc.subject | Error bounds | en |
dc.title | New asymptotic expansion and error bound for Stirling formula of reciprocal Gamma function | en |
dc.type | Artículo / Artikulua | es |
dc.type | info:eu-repo/semantics/article | en |
dc.type.version | Versión aceptada / Onetsi den bertsioa | es |
dc.type.version | info:eu-repo/semantics/acceptedVersion | en |
dspace.entity.type | Publication | |
relation.isAuthorOfPublication | 68ff8840-f80e-4119-ac1a-edfad578de07 | |
relation.isAuthorOfPublication.latestForDiscovery | 68ff8840-f80e-4119-ac1a-edfad578de07 |