A note on poly-Bernoulli numbers and polynomials of the second kind
Taekyun Kim, Sang-Hun Lee, Jongjin Seo
TL;DR
This paper introduces explicit formulas for poly-Bernoulli numbers and polynomials of the second kind, enhancing computational methods and understanding of these special number sequences.
Contribution
It provides new explicit formulas for poly-Bernoulli numbers of the second kind and Stirling numbers of the second kind, advancing theoretical and computational knowledge.
Findings
Derived explicit formulas for poly-Bernoulli numbers of the second kind.
Presented new formulas for Stirling numbers of the second kind.
Enhanced methods for calculating these special numbers.
Abstract
In this paper, we consider the poly-Bernoulli numbers and polynomials of the second kind and presents new and explicit formulae for calculating the poly-Bernoulli numbers of the second kind and the Stirling numbers of the second kind.
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Taxonomy
TopicsAdvanced Mathematical Identities · Mathematical Inequalities and Applications · Advanced Combinatorial Mathematics