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dc.creatorPagola Martínez, Pedro Jesúses_ES
dc.date.accessioned2019-01-23T09:18:49Z
dc.date.available2019-01-23T09:18:49Z
dc.date.issued2018
dc.identifier.issn1331-4343 (Print)
dc.identifier.issn1848-9966 (Electronic)
dc.identifier.urihttps://hdl.handle.net/2454/32068
dc.description.abstractStudying 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.sponsorshipThis 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.mimetypeapplication/pdfen
dc.language.isoengen
dc.publisherEle-Mathen
dc.relation.ispartofMathematical Inequalities & Applications, vol 21, number 4 (2018), 957-965en
dc.rights© Element, Zagreben
dc.subjectReciprocal gamma functionen
dc.subjectAsymptotic expansionsen
dc.subjectError boundsen
dc.titleNew asymptotic expansion and error bound for Stirling formula of reciprocal Gamma functionen
dc.typeArtículo / Artikuluaes
dc.typeinfo:eu-repo/semantics/articleen
dc.contributor.departmentUniversidad Pública de Navarra. Departamento de Ingeniería Matemática e Informáticaes_ES
dc.contributor.departmentNafarroako Unibertsitate Publikoa. Matematika eta Informatika Ingeniaritza Sailaeu
dc.rights.accessRightsAcceso abierto / Sarbide irekiaes
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen
dc.identifier.doi10.7153/mia-2018-21-65
dc.relation.projectIDinfo:eu-repo/grantAgreement/ES/1PE/MTM2014-52859en
dc.relation.publisherversiondx.doi.org/10.7153/mia-2018-21-65
dc.type.versionVersión aceptada / Onetsi den bertsioaes
dc.type.versioninfo:eu-repo/semantics/acceptedVersionen
dc.contributor.funderUniversidad Pública de Navarra / Nafarroako Unibertsitate Publikoaes


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