Some new identities on the Apostol-Bernoulli polynomials of higher order derived from Bernoulli basis
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KünyeBagdasaryan, A., Araci, S., Acikgoz, M., He, Y. (2016). Some new identities on the Apostol-Bernoulli polynomials of higher order derived from Bernoulli basis, The Journal of Nonlinear Science and Applications 9(5), 2697-2704.
In the present paper, we introduce a method in order to obtain some new interesting relations and identities of the Apostol-Bernoulli polynomials of higher order, which are derived from Bernoulli polynomial basis. Finally, by utilizing this method, we also get formulas for the convolutions of Bernoulli and Euler polynomials in terms of Apostol-Bernoulli polynomials of higher order.
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