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.
Araci, Serkan; Şen, Erdoğan; Acikgoz, Mehmet; and Oruçoğlu, Kamil
"Identities Involving Some New Special Polynomials Arising from the Applications of Fractional Calculus,"
Applied Mathematics & Information Sciences: Vol. 09
, Article 51.
Available at: https://dc.naturalspublishing.com/amis/vol09/iss5/51