Some results about functions that share functions with their derivative of higher order

被引：0

作者：

Qi, Jianming ^{[1
]}

Lu, Feng ^{[2
]}

Yuan, Wenjun ^{[3
,4
]}

机构：

[1] Shanghai Dianji Univ, Dept Math & Phys, Shanghai 201306, Peoples R China

[2] China Univ Petr, Coll Sci, Qingdao 266555, Peoples R China

[3] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China

[4] Guangzhou Univ, Key Lab Math & Interdisciplinary Sci Guangdong Hi, Guangzhou 510006, Guangdong, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2013年

关键词：

complex differential equation; entire function; normal family; Nevanlinna theory;

D O I：

10.1186/1687-1847-2013-192

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the growth of some functions that share functions with their derivative of higher order. The first main theorem is an improvement of the result obtained by Lu (Bull. Korean Math. Soc. 48: 951-957, 2011), two examples are given to show that the conclusion is sharp. The second main theorem is of estimating, more exactly, the order of an entire function sharing polynomial, which extends the related result of Lu, Xu and Chen (Arch. Math. 92: 593-601, 2009). MSC: 30D35, 30D45.

引用

页数：11

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