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Analytical properties of the Hurwitz-Lerch zeta function

dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorUsman, Talha
dc.contributor.authorNisar, Kottakkaran Sooppy
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2022-03-22T10:41:28Z
dc.date.available2022-03-22T10:41:28Z
dc.date.issued2020
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn the present paper, we aim to extend the Hurwitz-Lerch zeta function Phi delta,sigma;gamma(xi ,s,upsilon ;p) involving the extension of the beta function (Choi et al. in Honam Math. J. 36(2):357-385, 2014). We also study the basic properties of this extended Hurwitz-Lerch zeta function which comprises various integral formulas, a derivative formula, the Mellin transform, and the generating relation. The fractional kinetic equation for an extended Hurwitz-Lerch zeta function is also obtained from an application point of view. Furthermore, we obtain certain interesting relations in the form of particular cases.en_US
dc.description.publishedMonth9
dc.identifier.citationNadeem, Raghib...et al. (2020). "Analytical properties of the Hurwitz-Lerch zeta function", Advances in Difference Equations, Vol. 2020, No. 1.en_US
dc.identifier.doi10.1186/s13662-020-02924-2
dc.identifier.issn1687-1839
dc.identifier.issue1en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12416/5153
dc.identifier.volume2020en_US
dc.language.isoenen_US
dc.relation.ispartofAdvances in Difference Equationsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectGeneralizeden_US
dc.subjectGenerating Functionsen_US
dc.subjectRodrigues Formulaen_US
dc.titleAnalytical properties of the Hurwitz-Lerch zeta functiontr_TR
dc.titleAnalytical Properties of the Hurwitz-Lerch Zeta Functionen_US
dc.typeArticleen_US
dspace.entity.typePublication
relation.isAuthorOfPublicationf4fffe56-21da-4879-94f9-c55e12e4ff62
relation.isAuthorOfPublication.latestForDiscoveryf4fffe56-21da-4879-94f9-c55e12e4ff62

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