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01-Applied Mathematics & Information Sciences
An International Journal


Volumes > Volume 9 > No. 5


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

PP: 2657-2662
Serkan Araci, Erdoğan Şen, Mehmet Acikgoz, Kamil Oruçoğlu,
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.

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