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关于费马型微分-差分方程的整函数解(英文)

On the Solution of Fermat-type Differential-difference Equations
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摘要 In this paper,we mainly discuss entire solutions of finite order of the following Fermat type differential-difference equation[f(k)(z)]2+[△cf(z)]2=1,and the systems of differential-difference equations of the from ■Our results can be proved to be the sufficient and necessary solutions to both equation and systems of equations. In this paper,we mainly discuss entire solutions of finite order of the following Fermat type differential-difference equation[f(k)(z)]2+[△cf(z)]2=1,and the systems of differential-difference equations of the from ■Our results can be proved to be the sufficient and necessary solutions to both equation and systems of equations.
作者 刘丹 邓炳茂 杨德贵 LIU Dan;DENG Bing-mao;YANG De-gui(Institute of Applied Mathematics,South China Agricultural University,Guangzhou,510642,P.R.China)
出处 《Chinese Quarterly Journal of Mathematics》 2019年第3期301-313,共13页 数学季刊(英文版)
基金 supported by the National Natural Science Foundation of China(11701188)
关键词 Fermat-type EQUATION Differential-difference EQUATION Entire function Fermat-type equation Differential-difference equation Entire function
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