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2015•Publications de l Institut MathematiqueOpen access

A new formula for the Bernoulli numbers of the second kind in terms of the Stirling numbers of the first kind

Feng Qi

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Abstract

We find an explicit formula for computing the Bernoulli numbers of the second kind in terms of the signed Stirling numbers of the first kind.

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We find an explicit formula for computing the Bernoulli numbers of the second kind in terms of the signed Stirling numbers of the first kind.

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OpenAlex reports 22 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

We find an explicit formula for computing the Bernoulli numbers of the second kind in terms of the signed Stirling numbers of the first kind.

Key concepts: Stirling numbers of the second kind, Bernoulli number, Stirling number, Stirling numbers of the first kind, Bell polynomials, Bernoulli's principle, Mathematics, Stirling engine

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A new formula for the Bernoulli numbers of the second kind in terms of the Stirling numbers of the first kind — Research Paper | ScholarLens