New recurrence formulae for the Apostol-Bernoulli and Apostol-Euler polynomials

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Abstract

The main purpose of this paper is by using the generating function methods and some combinatorial techniques to establish some new recurrence formulae for the Apostol-Bernoulli and Apostol-Euler polynomials. It turns out that some known results in (He and Wang in Adv. Differ. Equ. 2012:209, 2012) are obtained as special cases. MSC: 11B68, 05A19. © 2013 Wang; licensee Springer.

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Wang, J. (2013). New recurrence formulae for the Apostol-Bernoulli and Apostol-Euler polynomials. Advances in Difference Equations, 2013. https://doi.org/10.1186/1687-1847-2013-247

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