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

Aracı, SerkanŞen, ErdoğanAçıkgöz, MehmetOruçoğlu, Kamil2022-05-112022-05-1120151935-0090https://doi.org/10.12785/amis/090551https://hdl.handle.net/20.500.11776/7390Inspired 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.en10.12785/amis/090551info:eu-repo/semantics/closedAccessApostol-bernoulli polynomialsApostol-euler polynomialsApostol-genocchi polynomialsCaputo-fractional derivativeMittag-leffler functionIdentities involving some new special polynomials arising from the applications of fractional calculusArticle95265726622-s2.0-84937848981Q4