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A new extension of q-Euler numbers and polynomials related to their interpolation functions

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dc.contributor.authorŞimşek, Yılmaz
dc.contributor.buuauthorÖzen, Hacer
dc.contributor.departmentFen Edebiyat Fakültesi
dc.contributor.departmentMatematik Bölümü
dc.contributor.researcheridAAH-5090-2021
dc.contributor.scopusid23973633900
dc.date.accessioned2021-10-25T08:08:17Z
dc.date.available2021-10-25T08:08:17Z
dc.date.issued2008-10
dc.description.abstractIn this work, by using a p-adic q-Volkenborn integral, we construct a new approach to generating functions of the (h, q)-Euler numbers and polynomials attached to a Dirichlet character x. By applying the Mellin transformation and a derivative operator to these functions, we define (h, q)-extensions of zeta functions and l-functions, which interpolate (h, q)-extensions of Euler numbers at negative integers.
dc.description.sponsorshipAkdeniz Üniversitesi
dc.identifier.citationÖzden, H. ve Şimşek, Y. (2008). ''A new extension of q-Euler numbers and polynomials related to their interpolation functions''. Applied Mathematics Letters, 21(9), 934-939.
dc.identifier.endpage939
dc.identifier.issn0893-9659
dc.identifier.issue9
dc.identifier.scopus2-s2.0-47049097831
dc.identifier.startpage934
dc.identifier.urihttps://doi.org/10.1016/j.aml.2007.10.005
dc.identifier.urihttps://www.sciencedirect.com/science/article/pii/S0893965907002947
dc.identifier.urihttp://hdl.handle.net/11452/22465
dc.identifier.volume21
dc.identifier.wos000258438100010
dc.indexed.wosSCIE
dc.language.isoen
dc.publisherPergamon-Elsevier Science
dc.relation.collaborationYurt içi
dc.relation.journalApplied Mathematics Letters
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectP-adic Volkenborn integral
dc.subjectTwisted q-Euler numbers and polynomials
dc.subjectZeta and l-functions
dc.subjectFunction evaluation
dc.subjectInterpolation
dc.subjectPolynomial approximation
dc.subjectDirichlet
dc.subjectEuler numbers
dc.subjectGenerating functions
dc.subjectInterpolation functions
dc.subjectMellin transformation
dc.subjectNegative integers
dc.subjectNew approaches
dc.subjectZeta functions
dc.subjectPolynomials
dc.subject.scopusEuler Polynomials; Bernoulli Numbers; P-Adic Q-Integral
dc.subject.wosMathematics, applied
dc.titleA new extension of q-Euler numbers and polynomials related to their interpolation functions
dc.typeArticle
dc.wos.quartileQ2
dspace.entity.typePublication
local.contributor.departmentFen Edebiyat Fakültesi/Matematik Bölümü
local.indexed.atScopus
local.indexed.atWOS

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