Identities involving some new special polynomials arising from the applications of fractional calculus
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KünyeAraci S., Şen E., Acikgoz M., & Oruçoğlu K. (2015). Identities involving some new special polynomials arising from the applications of fractional calculus. Applied Mathematics and Information Sciences, 9(5), 2657-2662. doi:10.12785/amis/090551
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.