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Some new identities for the Apostol-Bernoulli polynomials and the Apostol-Genocchi polynomials. (English) Zbl 1410.11016

Summary: In this paper, we present a further investigation for the Apostol-Bernoulli polynomials and the Apostol-Genocchi polynomials. By making use of the generating function methods and summation transform techniques, we establish some new identities involving the products of the Apostol-Bernoulli polynomials and the Apostol-Genocchi polynomials. Many of the results presented here are the corresponding generalizations of some known formulas on the classical Bernoulli polynomials and the classical Genocchi polynomials.

MSC:

11B68 Bernoulli and Euler numbers and polynomials
05A19 Combinatorial identities, bijective combinatorics
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