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.
Dae San Kim and Taekyun Kim
Sogang University, Kwangwoon University
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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