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arXiv · 1608.06976

Bernoulli-Dunkl and Apostol-Euler-Dunkl polynomials with applications to series involving zeros of Bessel functions

Óscar Ciaurri·Antonio J. Durán·Mario Pérez·Juan L. Varona
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Abstract

We introduce Bernoulli-Dunkl and Apostol-Euler-Dunkl polynomials as generalizations of Bernoulli and Apostol-Euler polynomials, where the role of the derivative is now played by the Dunkl operator on the real line. We use them to sum a bunch of series involving the zeros of Bessel functions.

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Óscar Ciaurri, Antonio J. Durán, Mario Pérez, Juan L. Varona. 2016-08-24. Bernoulli-Dunkl and Apostol-Euler-Dunkl polynomials with applications to series involving zeros of Bessel functions. https://arxiv.org/abs/1608.06976

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