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

Autor: Boutiche, Mohamed Amine, Mechacha, Mohamed, Rahmani, Mourad
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv
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