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Identities Involving Some New Special Polynomials Arising from the Applications of Fractional Calculus |
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PP: 2657-2662 |
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Author(s) |
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Serkan Araci,
Erdoğan Şen,
Mehmet Acikgoz,
Kamil Oruçoğlu,
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Abstract |
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| 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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