Higher-Order Convolutions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi Polynomials

Yuan He, Serkan Araci, Hari M. Srivastava and Mahmoud Abdel-Aty
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Yuan He: Faculty of Science, Kunming University of Science and Technology, Kunming 650500, Yunnan, China
Serkan Araci: Faculty of Economics, Administrative and Social Sciences, Hasan Kalyoncu University, Gaziantep TR-27410, Turkey
Hari M. Srivastava: Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada
Mahmoud Abdel-Aty: Zewail City of Science andTechnology, University of Science and Technology, Cairo 82524, Egypt

Mathematics, 2018, vol. 6, issue 12, 1-14

Abstract: In this paper, we present a systematic and unified investigation for the Apostol-Bernoulli polynomials, the Apostol-Euler polynomials and the Apostol-Genocchi polynomials. By applying the generating-function methods and summation-transform techniques, we establish some higher-order convolutions for the Apostol-Bernoulli polynomials, the Apostol-Euler polynomials and the Apostol-Genocchi polynomials. Some results presented here are the corresponding extensions of several known formulas.

Keywords: Apostol-Bernoulli polynomials; Apostol-Euler polynomials; Apostol-Genocchi polynomials; convolution identities; stirling numbers of the first and second kind (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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