Some new identities for the Apostol–Bernoulli polynomials and the Apostol–Genocchi polynomials

Yuan He, Serkan Araci, H.M. Srivastava and Mehmet Acikgoz

Applied Mathematics and Computation, 2015, vol. 262, issue C, 31-41

Abstract: 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.

Keywords: Apostol–Bernoulli polynomials; Apostol–Bernoulli numbers; Apostol–Genocchi polynomials; Apostol–Genocchi numbers; Convolution formulas; Recurrence relations (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:262:y:2015:i:c:p:31-41

DOI: 10.1016/j.amc.2015.03.132

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