On some connections between the Gompertz function and special numbers
Mathematical Physics
2015-11-11 v1 math.MP
Abstract
In the present paper we show that the Gompertz function, the Fisher-Tippett and the Gumbel probability distributions are related to both Stirling numbers of the second kind and Bernoulli numbers. Especially we prove for the Gumbel probability density function an analog of the Grosset-Veselov formula which connects 1-soliton solution of the KdV equation with Bernoulli numbers.
Cite
@article{arxiv.1511.03070,
title = {On some connections between the Gompertz function and special numbers},
author = {Grzegorz Rządkowski and Wojciech Rządkowski and Paweł Wójcicki},
journal= {arXiv preprint arXiv:1511.03070},
year = {2015}
}
Comments
7 pages