Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2017; 54(4): 1185-1194

Online first article May 29, 2017      Printed July 31, 2017

https://doi.org/10.4134/BKMS.b160276

Copyright © The Korean Mathematical Society.

Revisit nonlinear differential equations associated with Eulerian polynomials

Dae San Kim and Taekyun Kim

Sogang University, Kwangwoon University

Abstract

In this paper, we present nonlinear differential equations arising from the generating function of the Eulerian polynomials. In addition, we give explicit formulae for the Eulerian polynomials which are derived from our nonlinear differential equations.

Keywords: Eulerian polynomials, higher-order Eulerian polynomials, nonlinear differential equation

MSC numbers: 05A19, 11B83, 34A34

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