A Generalization of the Eulerian Numbers
Combinatorics
2023-07-07 v3 Classical Analysis and ODEs
Abstract
In the present paper we generalize the Eulerian numbers (also of the second and third orders). The generalization is connected with an autonomous first-order differential equation, solutions of which are used to obtain integral representations of some numbers, including the Bernoulli numbers.
Keywords
Cite
@article{arxiv.1612.06635,
title = {A Generalization of the Eulerian Numbers},
author = {Grzegorz Rzadkowski and Malgorzata Urlinska},
journal= {arXiv preprint arXiv:1612.06635},
year = {2023}
}
Comments
13 pages, preprint