An explicit formula for Bernoulli numbers in terms of Stirling numbers of the second kind
Feng Qi
TL;DR
This paper presents a new explicit formula that expresses Bernoulli numbers directly through Stirling numbers of the second kind, simplifying their computation.
Contribution
It introduces a novel explicit formula linking Bernoulli numbers with Stirling numbers of the second kind, enhancing computational methods.
Findings
Provides a new explicit formula for Bernoulli numbers
Simplifies the calculation of Bernoulli numbers
Establishes a direct relationship between Bernoulli and Stirling numbers
Abstract
In the note, the author discovers an explicit formula for computing Bernoulli numbers in terms of Stirling numbers of the second kind.
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Taxonomy
TopicsAdvanced Mathematical Identities · Advanced Combinatorial Mathematics · Mathematical Inequalities and Applications