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arXiv · 2310.02762

Recurrences for values of the Hurwitz type poly-Bernoulli numbers and polynomials

Mohamed Amine Boutiche·Mohamed Mechacha·Mourad Rahmani
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Abstract

The main object of this paper is to investigate a new class of the generalized Hurwitz type poly-Bernoulli numbers and polynomials from which we derive some algorithms for evaluating the Hurwitz type poly-Bernoulli numbers and polynomials. By introducing a new generalization of the Stirling numbers of the second kind, we succeed to establish some combinatorial formulas for the generalized Hurwitz type poly-Bernoulli numbers and polynomials with negative upper indices. Moreover, we give a connection between the generalized Stirling numbers of the second kind and graph theory.

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Mohamed Amine Boutiche, Mohamed Mechacha, Mourad Rahmani. 2023-10-04. Recurrences for values of the Hurwitz type poly-Bernoulli numbers and polynomials. https://arxiv.org/abs/2310.02762

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