Note on the Hurwitz-Lerch Zeta Function of Two Variables

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dc.contributor.authorChoi, Junesang
dc.contributor.authorŞahin, Recep
dc.contributor.authorYağcı, Oğuz
dc.contributor.authorKim, Dojin
dc.date.accessioned2021-01-14T18:10:24Z
dc.date.available2021-01-14T18:10:24Z
dc.date.issued2020
dc.departmentKKÜ
dc.descriptionChoi, Junesang/0000-0002-7240-7737; Yagci, Oguz/0000-0001-9902-8094
dc.description.abstractA number of generalized Hurwitz-Lerch zeta functions have been presented and investigated. In this study, by choosing a known extended Hurwitz-Lerch zeta function of two variables, which has been very recently presented, in a systematic way, we propose to establish certain formulas and representations for this extended Hurwitz-Lerch zeta function such as integral representations, generating functions, derivative formulas and recurrence relations. We also point out that the results presented here can be reduced to yield corresponding results for several less generalized Hurwitz-Lerch zeta functions than the extended Hurwitz-Lerch zeta function considered here. For further investigation, among possibly various more generalized Hurwitz-Lerch zeta functions than the one considered here, two more generalized settings are provided.en_US
dc.description.sponsorshipDongguk Universityen_US
dc.description.sponsorshipThis work was supported by the Dongguk University Research Fund of 2020.en_US
dc.identifier.citationChoi J, Şahin R, Yağcı O, Kim D. Note on the Hurwitz–Lerch Zeta Function of Two Variables. Symmetry. 2020; 12(9):1431. https://doi.org/10.3390/sym12091431en_US
dc.identifier.doi10.3390/sym12091431
dc.identifier.issn2073-8994
dc.identifier.issue9en_US
dc.identifier.scopus2-s2.0-85090939679
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/sym12091431
dc.identifier.urihttps://hdl.handle.net/20.500.12587/12573
dc.identifier.volume12en_US
dc.identifier.wosWOS:000587641400001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMDPIen_US
dc.relation.ispartofSYMMETRY-BASEL
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectbeta functionen_US
dc.subjectgamma functionen_US
dc.subjectPochhammer symbolen_US
dc.subjectHurwitz&#8211en_US
dc.subjectLerch zeta functionen_US
dc.subjectHurwitz&#8211en_US
dc.subjectLerch zeta function of two variablesen_US
dc.subjecthypergeometric functionsen_US
dc.subjectconfluent hypergeometric functionsen_US
dc.subjectAppell hypergeometric functionsen_US
dc.subjectHumbert hypergeometric functions of two variablesen_US
dc.subjectintegral representationsen_US
dc.subjectgenerating functionsen_US
dc.subjectderivative formulasen_US
dc.subjectrecurrence relationen_US
dc.titleNote on the Hurwitz-Lerch Zeta Function of Two Variablesen_US
dc.typeArticle

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