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arXiv:1311.4148 [math.NT]AbstractReferencesReviewsResources

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

Armen Bagdasaryan, Serkan Araci, Mehmet Acikgoz, Yuan He

Published 2013-11-17, updated 2015-01-20Version 4

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.

Comments: 8 pages, submitted
Categories: math.NT
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