A new family of Lerch-type zeta functions interpolating a certain class of higher-order Apostol-type numbers and Apostol-type polynomials

Simple item page
dc.authoridSrivastava, Hari M./0000-0002-9277-8092
dc.authoridKucukoglu, Irem/0000-0001-9100-2252
dc.authoridSIMSEK, YILMAZ/0000-0002-0611-7141
dc.authorwosidSrivastava, Hari M./N-9532-2013
dc.authorwosidKucukoglu, Irem/L-9198-2018
dc.authorwosidSIMSEK, YILMAZ/C-1654-2016
dc.contributor.authorKüçükoğlu, İrem
dc.contributor.authorŞimşek, Yılmaz
dc.contributor.authorSrivastava, H. M.
dc.date.accessioned2024-08-20T20:29:21Z
dc.date.available2024-08-20T20:29:21Z
dc.date.issued2019
dc.departmentAntalya Belek Üniversitesien_US
dc.description.abstractThe aim of this paper is to investigate some classes of higher-order Apostol-type numbers and Apostol-type polynomials. We construct Lerch-type zeta functions which interpolate these numbers and polynomials at negative integers. Moreover, by combining some well-known identities such as the Chu-Vandermonde identity with the Lerch-type zeta functions and generating functions for the higher- order Apostol-type numbers and Apostol-type polynomials, we derive some relations and identities including functional equation for these Lerch-type zeta functions with other zeta type functions, Raabe-type multiplication formula for the higher-order Apostol-type polynomials and the Stirling numbers. Finally, we give some remarks and observations on Lerch-type zeta functions and their functional equations.en_US
dc.description.sponsorshipScientific Research Project Administration of the University of Akdeniz [FBA-2018-3292]en_US
dc.description.sponsorshipThe present investigation was supported by the Scientific Research Project Administration of the University of Akdeniz under Project Number FBA-2018-3292.en_US
dc.identifier.doi10.2989/16073606.2018.1459925
dc.identifier.endpage478en_US
dc.identifier.issn1607-3606
dc.identifier.issn1727-933X
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-85051965293en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage465en_US
dc.identifier.urihttps://doi.org/10.2989/16073606.2018.1459925
dc.identifier.urihttps://hdl.handle.net/20.500.14591/122
dc.identifier.volume42en_US
dc.identifier.wosWOS:000466387500004en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherNATL INQUIRY SERVICES CENTRE PTY LTDen_US
dc.relation.ispartofQuaestiones Mathematicaeen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectBernoulli numbers and Bernoulli polynomialsen_US
dc.subjectEuler numbers and Euler polynomialsen_US
dc.subjectRiemann and Hurwitz (or generalized) zeta functionsen_US
dc.subjectHurwitz-Lerch zeta functionen_US
dc.subjectLerch zeta functionen_US
dc.subjectpolylogarithm functionen_US
dc.subjectmultiplication formulaen_US
dc.subjectfunctional equationen_US
dc.subjectMellin transformationen_US
dc.titleA new family of Lerch-type zeta functions interpolating a certain class of higher-order Apostol-type numbers and Apostol-type polynomialsen_US
dc.typeArticleen_US

Files

Original bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
irem-kucukoglu.pdf
Size:
369.72 KB
Format:
Adobe Portable Document Format
Download

Collections

WoS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu