A higher-order convolution for Bernoulli polynomials of the second kind

Yuan He and Taekyun Kim

Applied Mathematics and Computation, 2018, vol. 324, issue C, 51-58

Abstract: In this paper, we perform a further investigation for the Bernoulli polynomials of the second kind. By making use of the generating function methods and summation transform techniques, we establish a higher-order convolution identity for the Bernoulli polynomials of the second kind. We also present some illustrative special cases as well as immediate consequences of the main result.

Keywords: Bernoulli numbers of the second kind; Bernoulli polynomials of the second kind; Cauchy numbers; Cauchy polynomials; Convolution identity (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:324:y:2018:i:c:p:51-58

DOI: 10.1016/j.amc.2017.12.014

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