Entire functions that share a small function with their derivatives

被引：29
|
作者：
Chang, Jianming [1 ]
Zhu, Yingzhong [2 ]
机构：
[1] Changshu Inst Technol, Dept Math, Changshu 215500, Jiangsu, Peoples R China
[2] Jiangsu Univ, Dept Math, Zhenjiang 212013, Jiangsu, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 351卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Meromorphic functions; Entire functions; Differential equation;
D O I：
10.1016/j.jmaa.2008.07.080
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let f be an entire function of finite order and a an entire function of order less than f's. If f - a and f' - a have the same zeros with the same multiplicities, then f' - a c(f - a) for some non-zero constant c. (C) 2008 Published by Elsevier Inc.
引用
收藏
页码：491 / 496
页数：6
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