A normal criterion of families of holomorphic functions

被引：2

作者：

Niu, Peiyan ^{[1
]}

Xu, Yan ^{[2
]}

机构：

[1] Changshu Inst Technol, Sch Math & Stat, Changshu 215500, Jiangsu, Peoples R China

[2] Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Peoples R China

来源：

ANALYSIS AND MATHEMATICAL PHYSICS | 2021年 / 11卷 / 03期

关键词：

Holomorphic function; Normal family; Fixed-point; 30D45;

D O I：

10.1007/s13324-021-00539-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let F be a family of holomorphic functions on a domain D, and let h(not equivalent to 0) be a holomorphic function on D. If every f is an element of F, f(z)=0 double right arrow |f ' (z)|<= |h(z)|, and f ' (z)not equal h(z), then F is normal on D.

引用

页数：10

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