Identities Involving Some New Special Polynomials Arising from the Applications of Fractional Calculus

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dc.contributor.authorAracı, Serkan
dc.contributor.authorŞen, Erdoğan
dc.contributor.authorAçıkgöz, Mehmet
dc.contributor.authorOruçoğlu, Kamil
dc.date.accessioned2019-07-08T13:26:19Z
dc.date.available2019-07-08T13:26:19Z
dc.date.issued2016
dc.departmentHKÜ, İktisadi, İdari ve Sosyal Bilimler Fakültesien_US
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.en_US
dc.identifier.citationAraci, S., Şen, E., Acikgoz, M., Oruçoğlu, K. “Identities Involving Some New Special Polynomials Arising from the Applications of Fractional Calculus” Appl. Math. Inform. Sci. 9, No. 5, 2657-2662en_US
dc.identifier.doi10.12785/amis/090551
dc.identifier.endpage2662en_US
dc.identifier.issue5en_US
dc.identifier.scopus2-s2.0-84937848981
dc.identifier.scopusqualityQ2
dc.identifier.startpage2657en_US
dc.identifier.urihttps://hdl.handle.net/20.500.11782/426
dc.identifier.urihttps://doi.org/10.12785/amis/090551
dc.identifier.volume9en_US
dc.indekslendigikaynakScopus
dc.language.isoen
dc.relation.ispartofAppl. Math. Inform. Sci
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectMittag-Leffler function, Caputo-Fractional derivative, Apostol-Bernoulli polynomials, Apostol-Genocchi polynomials, Apostol-Euler polynomialsen_US
dc.titleIdentities Involving Some New Special Polynomials Arising from the Applications of Fractional Calculus
dc.typeArticle

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