A note on degenerate poly-Bernoulli numbers and polynomials

TL;DR

This paper introduces explicit formulas for degenerate poly-Bernoulli polynomials, connecting them to degenerate Bernoulli polynomials and Stirling numbers, enhancing computational methods for these special functions.

Contribution

It provides new explicit formulas for degenerate poly-Bernoulli polynomials in terms of known mathematical entities, advancing the understanding of their structure.

Findings

Derived explicit formulas for degenerate poly-Bernoulli polynomials

Connected degenerate poly-Bernoulli polynomials to Stirling numbers of the second kind

Enhanced computational approaches for these polynomials

Abstract

In this paper, we consider the degenerate poly-Bernoulli polynomials and present new and explicit formulas for computing them in terms of the degenerate Bernoulli polynomials and Stirling numbers of the second kind.