On applications of blending generating functions of q-Apostol-type polynomials

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dc.contributor.authorDuran, Ugur
dc.contributor.authorAcikgoz, Mehmet
dc.contributor.authorAraci, Serkan
dc.date.accessioned2020-02-16T17:35:11Z
dc.date.available2020-02-16T17:35:11Z
dc.date.issued2019
dc.departmentHKÜ, 0- Bölüm Yoken_US
dc.description.abstractMotivated by Kurt's blending generating functions of q-Apostol polynomials [16], we investigate some new identities and relations. We also aim to derive several new connections between these polynomials and generalized q-Stirling numbers of the second kind. Additionally, by making use of the fermionic p-adic integral over the p-adic numbers field, some relationships including unified Apostol-type q-polynomials and classical Euler numbers are obtained.en_US
dc.description.sponsorshipScientific and Technological Research Council of Turkey (TUBITAK)Turkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK); Hasan Kalyoncu UniversityHasan Kalyoncu Universityen_US
dc.description.sponsorshipThe first author is thankful to The Scientific and Technological Research Council of Turkey (TUBITAK) for their support with the Ph.D. scholarship. The third author of this paper is also supported by the research fund of Hasan Kalyoncu University in 2019.en_US
dc.identifier.doi10.7546/nntdm.2019.25.3.72-86
dc.identifier.endpage86en_US
dc.identifier.issn1310-5132
dc.identifier.issn2367-8275
dc.identifier.issue3en_US
dc.identifier.startpage72en_US
dc.identifier.urihttps://dx.doi.org/10.7546/nntdm.2019.25.3.72-86
dc.identifier.urihttps://hdl.handle.net/20.500.11782/1524
dc.identifier.volume25en_US
dc.identifier.wosWOS:000502370900007
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherBULGARIAN ACAD SCIENCEen_US
dc.relation.ispartofNOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectq-calculusen_US
dc.subjectApostol-Bernoulli polynomialsen_US
dc.subjectApostol-Euler polynomialsen_US
dc.subjectApostol-Genocchi polynomialsen_US
dc.subjectStirling numbers of second kinden_US
dc.subjectFermionic p-adic integralen_US
dc.subjectp-adic numbersen_US
dc.titleOn applications of blending generating functions of q-Apostol-type polynomials
dc.typeArticle

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