Radically distributed value and normal families of meromorphic functions

被引：2

作者：

Qi, Jianming ^{[1
,2
]}

Zhang, Guowei ^{[3
]}

Yuan, Wenjun ^{[2
,4
]}

机构：

[1] Shanghai Dianji Univ, Dept Math & Phys, Shanghai 200240, Peoples R China

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

[3] Anyang Normal Univ, Dept Math, Anyang 455000, Peoples R China

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

来源：

FRONTIERS OF MATHEMATICS IN CHINA | 2014年 / 9卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Meromorphic function; Nevanlinna theory; normal family; angular characteristic function; radially distributed value;

D O I：

10.1007/s11464-014-0357-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish several upper-bound estimates for the growth of meromorphic functions with radially distributed value. We also obtain a normality criterion for a class of meromorphic functions, where any two of whose differential polynomials share a non-zero value. Our theorems improve some previous results.

引用

页码：355 / 376

页数：22

共 21 条

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Lin, Wei-Chuan ;

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[4]

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[5]

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[6]

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[7]

Goldberg AA., 1970, Distribution of values of meromorphic functions

[8]

Hayman W. K., 1989, Complex Variables Theory Appl., V12, P245

[9]

Hayman W. K., 1964, Meromorphic functions

[10]

He Y., 1988, ALGEBROID FUNCTIONS

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