New asymptotic expansion and error bound for Stirling formula of reciprocal Gamma function

Pagola Martínez, Pedro Jesús

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
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relation.isAuthorOfPublication.latestForDiscovery	68ff8840-f80e-4119-ac1a-edfad578de07