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

20 Jan 2015  ·  Bagdasaryan Armen, Araci Serkan, Acikgoz Mehmet, He Yuan ·

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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Number Theory