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Some new identities on the Apostol-Bernoulli polynomials of higher order derived from Bernoulli basis (1311.4148v4)
Published 17 Nov 2013 in math.NT
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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