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

页码：491 / 496

页数：6

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