Combinatorial aspects of poly-Bernoulli polynomials and poly-Euler numbers

TL;DR

This paper introduces combinatorial models for poly-Bernoulli polynomials and poly-Euler numbers, providing combinatorial proofs for identities involving these special functions.

Contribution

It presents new combinatorial models for poly-Bernoulli and poly-Euler numbers, enabling combinatorial proofs of related identities.

Findings

Developed combinatorial models for poly-Bernoulli polynomials and poly-Euler numbers

Provided combinatorial proofs for identities involving these functions

Enhanced understanding of the combinatorial structure of special number sequences

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.