Publication:
Generalized q -stirling numbers and their interpolation functions

dc.contributor.authorŞimsek, Yılmaz
dc.contributor.buuauthorÖzden, Hacer
dc.contributor.buuauthorÖZDEN AYNA, HACER
dc.contributor.buuauthorCangül, İsmail Naci
dc.contributor.buuauthorCANGÜL, İSMAİL NACİ
dc.contributor.departmentFen Edebiyat Fakültesi
dc.contributor.departmentMatematik Ana Bilim Dalı
dc.contributor.orcid0000-0002-0700-5774
dc.contributor.researcheridABA-6206-2020
dc.contributor.researcheridAAH-5090-2021
dc.contributor.researcheridJ-3505-2017
dc.date.accessioned2024-11-21T12:32:25Z
dc.date.available2024-11-21T12:32:25Z
dc.date.issued2013-03-01
dc.description.abstractIn this paper, we define the generating functions for the generalized q-Stirling numbers of the second kind. By applying Mellin transform to these functions, we construct interpolation functions of these numbers at negative integers. We also derive some identities and relations related to q-Bernoulli numbers and polynomials and q-Stirling numbers of the second kind.
dc.description.sponsorshipAkdeniz Üniversitesi
dc.identifier.doi10.3390/axioms2010010
dc.identifier.endpage19
dc.identifier.issn2075-1680
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85053968502
dc.identifier.startpage10
dc.identifier.urihttps://doi.org/10.3390/axioms2010010
dc.identifier.urihttps://hdl.handle.net/11452/48300
dc.identifier.volume2
dc.identifier.wos000215130300002
dc.indexed.wosWOS.ESCI
dc.language.isoen
dc.publisherMdpi Ag
dc.relation.bapF-2012/16
dc.relation.bapF-2012/19
dc.relation.journalAxioms
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectQ-bernoulli numbers and polynomials
dc.subjectGeneralized q-stirling numbers of the second kind
dc.subjectQ-zeta function
dc.subjectScience & technology
dc.subjectPhysical sciences
dc.subjectMathematics, applied
dc.subjectMathematics
dc.titleGeneralized q -stirling numbers and their interpolation functions
dc.typeArticle
dspace.entity.typePublication
local.contributor.departmentFen Edebiyat Fakültesi/Matematik Ana Bilim Dalı
local.indexed.atWOS
local.indexed.atScopus
relation.isAuthorOfPublicationed78fdcc-9206-40c8-8657-ae1c07ea3280
relation.isAuthorOfPublication601ef81f-9bdf-4a4a-9ac1-82a82260384d
relation.isAuthorOfPublication.latestForDiscoveryed78fdcc-9206-40c8-8657-ae1c07ea3280

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