Derivative polynomials of a function related to the ApostolEuler and FrobeniusEuler numbers
Authors
JiaoLian Zhao
 Department of Mathematics and Physics, Weinan Normal University, Weinan City, Shaanxi Province, 714009, China.
JingLin Wang
 Department of Mathematics, College of Science, Tianjin Polytechnic University, Tianjin City, 300160, China.
Feng Qi
 Department of Mathematics, College of Science, Tianjin Polytechnic University, Tianjin City, 300160, China.
 Institute of Mathematics, Henan Polytechnic University, Jiaozuo City, Henan Province, 454010, China.
Abstract
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 ApostolEuler numbers and to the higher order FrobeniusEuler
numbers. Moreover, the authors also present a common solution to a sequence of nonlinear ordinary differential equations.
Keywords
 Derivative polynomial
 Stirling number
 nonlinear ordinary differential equation
 solution.
MSC
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