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In the paper, the authors find a simple and significant expression in terms of the Stirling numbers for derivative polynomials of a function with a parameter related to the higher order Apostol-Euler numbers and to the higher order Frobenius-Euler numbers. Moreover, the authors also present a common solution to a sequence of nonlinear ordinary differential equations. c ©2017 All rights reserved.

Derivative polynomials of a function related to the Apostol-Euler and Frobenius-Euler numbers