A note on meromorphic functions that share a set with their derivatives

被引：0
|
作者：
Feng Lü
机构：
[1] China University of Petroleum,Department of Mathematics
来源：
Archiv der Mathematik | 2011年 / 96卷
关键词：
Primary 30D35; Secondary 30D45; Complex differential equation; Normal family; Nevanlinna theory; Linear differential polynomial;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we study a problem of meromorphic functions that share an arbitrary set having three elements with their derivatives. A uniqueness result is derived which is an improvement of some related theorems given by Fang and Zalcman (J. Math. Anal. Appl. 280 (2003), 273–283) and Chang, Fang, and Zalcman (Arch. Math. 89 (2007), 561–569). As an application, we generalize the famous Brück conjecture with the idea of sharing a set.
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页码：369 / 377
页数：8
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