Combinatorial aspects of poly-Bernoulli polynomials and poly-Euler numbers
Combinatorics
2022-07-04 v2 Number Theory
Abstract
In this article, we introduce combinatorial models for poly-Bernoulli polynomials and poly-Euler numbers of both kinds. As their applications, we provide combinatorial proofs of some identities involving poly-Bernoulli polynomials.
Cite
@article{arxiv.2106.05585,
title = {Combinatorial aspects of poly-Bernoulli polynomials and poly-Euler numbers},
author = {Beáta Bényi and Toshiki Matsusaka},
journal= {arXiv preprint arXiv:2106.05585},
year = {2022}
}
Comments
17 pages, to appear in Journal de Th\'{e}orie des Nombres de Bordeaux, This article is an improvement of the first half of arXiv:2106.05585v1