q-Genocchi numbers and polynomials associated with q-Genocchi-type l-functions

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dc.contributor.authorŞimşek, Yılmaz
dc.contributor.authorKurt, Veli
dc.contributor.authorKim, Daeyeoul
dc.contributor.buuauthorCangül, İsmail Naci
dc.contributor.departmentUludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik.tr_TR
dc.contributor.orcid0000-0002-0700-5774tr_TR
dc.contributor.researcheridJ-3505-2017tr_TR
dc.contributor.scopusid57189022403tr_TR
dc.date.accessioned2022-03-31T07:27:46Z
dc.date.available2022-03-31T07:27:46Z
dc.date.issued2008
dc.description.abstractThe main purpose of this paper is to study on generating functions of the q-Genocchi numbers and polynomials. We prove new relation for the generalized q-Genocchi numbers which is related to the q-Genocchi numbers and q-Bernoulli numbers. By applying Mellin transformation and derivative operator to the generating functions, we define q-Genocchi zeta and l-functions, which are interpolated q-Genocchi numbers and polynomials at negative integers. We also give some applications of generalized q-Genocchi numbers.en_US
dc.description.sponsorshipAkdeniz Üniversitesitr_TR
dc.description.sponsorshipNational Institute for Mathematical Sciences Doryong-dongen_US
dc.identifier.citationŞimşek, Y. vd. (2008). "q-Genocchi numbers and polynomials associated with q-Genocchi-type l-functions". Advances in Difference Equations.en_US
dc.identifier.issnN1687-1839
dc.identifier.scopus2-s2.0-46649120845tr_TR
dc.identifier.urihttps://doi.org/10.1155/2008/815750
dc.identifier.urihttps://advancesindifferenceequations.springeropen.com/articles/10.1155/2008/815750
dc.identifier.urihttp://hdl.handle.net/11452/25478
dc.identifier.wos000256670600001tr_TR
dc.indexed.scopusScopusen_US
dc.indexed.wosSCIEen_US
dc.language.isoenen_US
dc.publisherHindawi Publishing Corporationen_US
dc.relation.bapF2004/40tr_TR
dc.relation.bapF2008-31tr_TR
dc.relation.collaborationYurt içitr_TR
dc.relation.collaborationYurt dışıtr_TR
dc.relation.journalAdvances in Difference Equationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergitr_TR
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectQ-bernoulli numbersen_US
dc.subjectQ-euler numbersen_US
dc.subjectBasic l-seriesen_US
dc.subjectQ-analogen_US
dc.subjectMathematicsen_US
dc.subject.scopusEuler Polynomials; Bernoulli Numbers; P-Adic Q-Integralen_US
dc.subject.wosMathematics, applieden_US
dc.subject.wosMathematicsen_US
dc.titleq-Genocchi numbers and polynomials associated with q-Genocchi-type l-functionsen_US
dc.typeArticle
dc.wos.quartileQ3 (Mathematics)en_US
dc.wos.quartileQ4 (Mathematics, applied)en_US

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