A Generalization of the Eulerian Numbers

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.

13 pages, preprint

Cited by in corpus (1)

• An asymptotic distribution theory for Eulerian recurrences with applications