Identities involving some new special polynomials arising from the applications of fractional calculus

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dc.authorscopusid35179145500
dc.authorscopusid55539330800
dc.authorscopusid26657919900
dc.authorscopusid6506228517
dc.contributor.authorAracı, Serkan
dc.contributor.authorŞen, Erdoğan
dc.contributor.authorAçıkgöz, Mehmet
dc.contributor.authorOruçoğlu, Kamil
dc.date.accessioned2022-05-11T14:31:16Z
dc.date.available2022-05-11T14:31:16Z
dc.date.issued2015
dc.departmentFakülteler, Fen Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractInspired by a number of recent investigations, we introduce the new analogues of the Apostol-Bernoulli polynomials and the Apostol-Euler polynomials, the Apostol-Genocchi polynomials based on Mittag-Leffler function. Making use of the Caputo-fractional derivative, we derive some new interesting identities of these polynomials. It turns out that some known results are derived as special cases. © 2015 NSP Natural Sciences Publishing Cor.
dc.identifier.doi10.12785/amis/090551
dc.identifier.endpage2662
dc.identifier.issn1935-0090
dc.identifier.issue5en_US
dc.identifier.scopus2-s2.0-84937848981
dc.identifier.scopusqualityQ4
dc.identifier.startpage2657
dc.identifier.urihttps://doi.org/10.12785/amis/090551
dc.identifier.urihttps://hdl.handle.net/20.500.11776/7390
dc.identifier.volume9
dc.indekslendigikaynakScopus
dc.institutionauthorŞen, Erdoğan
dc.language.isoen
dc.publisherNatural Sciences Publishing Co.
dc.relation.ispartofApplied Mathematics and Information Sciences
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectApostol-bernoulli polynomials
dc.subjectApostol-euler polynomials
dc.subjectApostol-genocchi polynomials
dc.subjectCaputo-fractional derivative
dc.subjectMittag-leffler function
dc.titleIdentities involving some new special polynomials arising from the applications of fractional calculus
dc.typeArticle

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