Explicit formulas and recurrence relations for higher order Eulerian polynomials

Article ID	Journal	Published Year	Pages	File Type
5778866	Indagationes Mathematicae	2017	8 Pages	PDF

Abstract

In the paper, the authors present explicit formulas, nonlinear ordinary differential equations, and recurrence relations for Eulerian polynomials, higher order Eulerian polynomials, and their generating functions in terms of the Stirling numbers of the second kind.

Keywords

Generating function Recurrence relation Stirling number of the second kind Explicit formula Nonlinear ordinary differential equation Eulerian polynomial