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arXiv · 1311.4148

Some new identities on the Apostol-Bernoulli polynomials of higher order derived from Bernoulli basis

Armen Bagdasaryan·Serkan Araci·Mehmet Acikgoz·Yuan He
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Abstract

In the present paper, we obtain new interesting relations and identities of the Apostol-Bernoulli polynomials of higher order, which are derived using a Bernoulli polynomial basis. Finally, by utilizing our method, we also derive formulas for the convolutions of Bernoulli and Euler polynomials, expressed via Apostol-Bernoulli polynomials of higher order.

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Armen Bagdasaryan, Serkan Araci, Mehmet Acikgoz, Yuan He. 2013-11-17. Some new identities on the Apostol-Bernoulli polynomials of higher order derived from Bernoulli basis. https://arxiv.org/abs/1311.4148

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