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

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摘要

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.

论文关键词：Kronecker’s identity,Jacobi’s theta function,Elliptic extension,Apostol–Bernoulli and Apostol–Euler polynomials,Generating function

论文评审过程：Received 12 September 2013, Revised 24 March 2014, Accepted 20 March 2015, Available online 13 April 2015.

论文官网地址：https://doi.org/10.1016/j.amc.2015.03.089