A new explicit formula for Bernoulli and Genocchi numbers in terms of Stirling numbers
Bai-Ni Guo, Feng Qi
TL;DR
This paper introduces a novel explicit formula connecting Bernoulli and Genocchi numbers with Stirling numbers of the second kind, enhancing computational and theoretical understanding of these special numbers.
Contribution
The paper presents a new explicit formula for Bernoulli and Genocchi numbers expressed through Stirling numbers of the second kind, expanding existing mathematical frameworks.
Findings
Derived a new explicit formula linking Bernoulli and Genocchi numbers to Stirling numbers
Simplified computation of Bernoulli and Genocchi numbers using Stirling numbers
Enhanced theoretical understanding of relationships among special number sequences
Abstract
In the paper, the authors review some explicit formulas and establish a new explicit formula for Bernoulli and Genocchi numbers in terms of Stirling numbers of the second kind.
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