Combinatorial aspects of poly-Bernoulli polynomials and poly-Euler numbers
Beáta Bényi1; Toshiki Matsusaka2
1 Faculty of Water Sciences, University of Public Service, Baja, Hungary
2 Faculty of Mathematics, Kyushu University Motooka 744, Nishi-ku, Fukuoka 819-0395, Japan
Journal de théorie des nombres de Bordeaux, Volume 34 (2022) no. 3, pp. 917-939.

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.

Dans cet article, nous introduisons des modèles combinatoires pour les analogues en plusieurs variables des polynômes de Bernoulli et des nombres d’Euler de deux types. Comme application, nous donnons des preuves combinatoires de certaines identités faisant intervenir les polynômes de Bernoulli généralisés.

Received:
Revised:
Accepted:
Published online:
DOI: 10.5802/jtnb.1234
Classification: 05A05, 05A19, 11B68
Keywords: Poly-Bernoulli polynomial, poly-Euler number
Beáta Bényi 1; Toshiki Matsusaka 2

1 Faculty of Water Sciences, University of Public Service, Baja, Hungary
2 Faculty of Mathematics, Kyushu University Motooka 744, Nishi-ku, Fukuoka 819-0395, Japan
License: CC-BY-ND 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
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Beáta Bényi; Toshiki Matsusaka. Combinatorial aspects of poly-Bernoulli polynomials and poly-Euler numbers. Journal de théorie des nombres de Bordeaux, Volume 34 (2022) no. 3, pp. 917-939. doi : 10.5802/jtnb.1234. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.1234/

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