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arXiv.org e-Print Archive
Preprint . 2013
Data sources: arXiv.org e-Print Archive
https://dx.doi.org/10.48550/ar...
Article . 2013
License: arXiv Non-Exclusive Distribution
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An integral representation and properties of Bernoulli numbers of the second kind

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2013Embargo end date: 01 Jan 2013Publisher:arXiv
Authors: Qi, Feng;

doi: 10.48550/arxiv.1301.7181

arXiv: 1301.7181

An integral representation and properties of Bernoulli numbers of the second kind

Abstract

In the paper, the author establishes an integral representation and properties of Bernoulli numbers of the second kind and reveals that the generating function of Bernoulli numbers of the second kind is a Bernstein function on $(0,\infty)$.

9 pages

Keywords

Mathematics - Number Theory, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Mathematics - Combinatorics, Primary 11B68, Secondary 11R33, 11S23, 26A48, 30E20, 33B99, Combinatorics (math.CO), Number Theory (math.NT)

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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!
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