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

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...

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Bibliographic Details
Published in:arXiv.org 2023-10
Main Authors: Boutiche, Mohamed Amine, Mechacha, Mohamed, Rahmani, Mourad
Format: Article
Language:English
Subjects:
Algorithms
Combinatorial analysis
Graph theory
Polynomials
Online Access:Get full text
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Summary: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.
ISSN:2331-8422