Recurrences for values of the Hurwitz type poly-Bernoulli numbers and polynomials
Combinatorics
2023-10-05 v1 Number Theory
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.
Keywords
Cite
@article{arxiv.2310.02762,
title = {Recurrences for values of the Hurwitz type poly-Bernoulli numbers and polynomials},
author = {Mohamed Amine Boutiche and Mohamed Mechacha and Mourad Rahmani},
journal= {arXiv preprint arXiv:2310.02762},
year = {2023}
}