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


Authors

Jiao-Lian Zhao - Department of Mathematics and Physics, Weinan Normal University, Weinan City, Shaanxi Province, 714009, China. Jing-Lin 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 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.


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ISRP Style

Jiao-Lian Zhao, Jing-Lin Wang, Feng Qi, Derivative polynomials of a function related to the Apostol-Euler and Frobenius-Euler numbers, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 4, 1345--1349

AMA Style

Zhao Jiao-Lian, Wang Jing-Lin, Qi Feng, Derivative polynomials of a function related to the Apostol-Euler and Frobenius-Euler numbers. J. Nonlinear Sci. Appl. (2017); 10(4):1345--1349

Chicago/Turabian Style

Zhao, Jiao-Lian, Wang, Jing-Lin, Qi, Feng. "Derivative polynomials of a function related to the Apostol-Euler and Frobenius-Euler numbers." Journal of Nonlinear Sciences and Applications, 10, no. 4 (2017): 1345--1349


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