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

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Tarih

2015

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Natural Sciences Publishing Co.

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

Inspired 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.

Açıklama

Anahtar Kelimeler

Apostol-bernoulli polynomials, Apostol-euler polynomials, Apostol-genocchi polynomials, Caputo-fractional derivative, Mittag-leffler function

Kaynak

Applied Mathematics and Information Sciences

WoS Q Değeri

Scopus Q Değeri

Q4

Cilt

9

Sayı

5

Künye