2015arXiv (Cornell University)Open access

A note on degenerate poly-Bernoulli numbers and polynomials

Dae San Kim, Taekyun Kim

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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.

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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.

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Available 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.

Key concepts: Degenerate energy levels, Bernoulli polynomials, Stirling numbers of the second kind, Bernoulli number, Bernoulli's principle, Stirling number, Mathematics, Pure mathematics

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