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AIMS Mathematics
Article . 2024 . Peer-reviewed
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AIMS Mathematics
Article . 2024
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Explicit formulae for Bernoulli numbers

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2024Publisher:American Institute of Mathematical Sciences (AIMS)Journal:AIMS Mathematics, volume 9, pages 28,170-28,194 (issn: 2473-6988, Copyright policy )
Authors: Nadia N. Li; Wenchang Chu;

doi: 10.3934/math.20241366

Explicit formulae for Bernoulli numbers

Abstract

<p>By examining the connection coefficients, we systematically review and extend (with an extra integer parameter) several double sum expressions for the Bernoulli numbers. New summation formulae are also established explicitly.</p>

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Keywords

connection coefficient, harmonic number, QA1-939, stirling number of the second kind, binomial coefficient, Mathematics, bernoulli number

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Top 10%
Average
Average
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