An integral representation and properties of Bernoulli numbers of the second kind
Feng Qi
TL;DR
This paper derives an integral representation for Bernoulli numbers of the second kind and shows their generating function is a Bernstein function, revealing new properties of these special numbers.
Contribution
It introduces an integral representation and demonstrates that the generating function of Bernoulli numbers of the second kind is a Bernstein function, a novel insight into their properties.
Findings
Integral representation of Bernoulli numbers of the second kind
Generating function is a Bernstein function on (0,∞)
Reveals new 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 .
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.