摘要
本文利用Gundersen的方法研究了一个线性微分方程的解并证明此方程的每一个整函数解的级必为无穷,推广了Gundersen和杨连中的若干结果。作为应用,我们还研究了与导数具有公共不动点的整函数.
In this paper, we investigate the solution of a linear differential equation by using the method of Gundersen and prove that the order of every entire solution of the differential equation under consideration is infinite, which generalizes some results given by Gundersen and Yang. Also we give one of its applications to the entire functions that have the same fixed points with their derivatives.
出处
《数学杂志》
CSCD
北大核心
2006年第1期31-36,共6页
Journal of Mathematics
基金
SupportedbytheNSF(No.10371065)ofChina
theNSF(No.M103006)ofZhejiangProvince.
关键词
整函数
公共值
不动点
entire function
shared value
fixed point
