An entire function and its derivatives sharing a polynomial

被引：14
|
作者：
Li, Xiao-Min [1 ]
Yi, Hong-Xun
机构：
[1] Ocean Univ China, Dept Math, Qingdao 266071, Peoples R China
[2] Shandong Univ, Dept Math, Jinan 250100, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 330卷 / 01期
基金：
中国国家自然科学基金;
关键词：
entire function; order of growth; shared value; uniqueness;
D O I：
10.1016/j.jmaa.2006.07.038
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the growth of solutions of a first-order linear differential equation and that of a second-order linear differential equation. From this we obtain some uniqueness theorems of a nonconstant entire function and its first derivative having the same fixed points with the same multiplicities. The results in this paper also improve some known results. Some examples show that the results in this paper are best possible. (c) 2006 Elsevier Inc. All rights reserved.
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页码：66 / 79
页数：14
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