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A family of incomplete hurwitz-lerch zeta functions of two variables

dc.contributor.authorSrivastava H.M.
dc.contributor.authorŞahin R.
dc.contributor.authorYağci O.
dc.date.accessioned2021-01-14T18:11:26Z
dc.date.available2021-01-14T18:11:26Z
dc.date.issued2020
dc.identifier.issn1787-2405
dc.identifier.urihttps://doi.org/10.18514/MMN.2020.3059
dc.identifier.urihttps://hdl.handle.net/20.500.12587/12984
dc.description.abstractInspired essentially by the work [H. M. Srivastava, M. A. Chaudhry and R. P. Agarwal [The incomplete Pochhammer symbols and their applications to hypergeometric and related functions, Integral Transforms Spec. Funct. 23 (2012), 659-683] (see [16])], we introduce the families of the incomplete Hurwitz-Lerch Zeta functions of two variables. We then give the integral representations including the Mellin-Barnes contour integral representation, summation formulas, derivative formulas and recurrence relations for the incomplete Hurwitz-Lerch Zeta functions of two variables. © 2020 Miskolc University Press.en_US
dc.language.isoengen_US
dc.publisherUniversity of Miskolcen_US
dc.relation.isversionof10.18514/MMN.2020.3059en_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectAppell hypergeometric functionen_US
dc.subjectBeta functionen_US
dc.subjectDerivative formulasen_US
dc.subjectGamma functionen_US
dc.subjectHumbert hypergeometric functions of two variablesen_US
dc.subjectHurwitz-lerch zeta functionen_US
dc.subjectHurwitz-lerch zeta function of two variablesen_US
dc.subjectIncomplete appell hypergeometric functionsen_US
dc.subjectIncomplete confluent hypergeometric functionsen_US
dc.subjectIncomplete gamma functionsen_US
dc.subjectIncomplete pochhammer symbolsen_US
dc.subjectIntegral representationsen_US
dc.subjectMellin-Barnes integral formulaen_US
dc.subjectPochhammer symbolen_US
dc.subjectRecurrence relationen_US
dc.subjectSummation formulaen_US
dc.titleA family of incomplete hurwitz-lerch zeta functions of two variablesen_US
dc.typearticleen_US
dc.contributor.departmentKKÜen_US
dc.identifier.volume21en_US
dc.identifier.issue1en_US
dc.identifier.startpage401en_US
dc.identifier.endpage415en_US
dc.relation.journalMiskolc Mathematical Notesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US


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