Elliptic extensions of the Apostol–Bernoulli and Apostol–Euler polynomials

Qiu-Ming Luo

Applied Mathematics and Computation, 2015, vol. 261, issue C, 156-166

Abstract: In this paper, we investigate the elliptic analogues of the Apostol–Bernoulli and Apostol–Euler polynomials and obtain the closed expressions of sums of products for these elliptic type polynomials. Some interesting special cases are also shown.

Keywords: Kronecker’s identity; Jacobi’s theta function; Elliptic extension; Apostol–Bernoulli and Apostol–Euler polynomials; Generating function (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:261:y:2015:i:c:p:156-166

DOI: 10.1016/j.amc.2015.03.089

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