A Normal Criterion Concerning Omitted Holomorphic Function

被引：0

作者：

Jin Hua YANG ^{[1
]}

Qi YANG ^{[1
]}

Xue Cheng PANG ^{[2
]}

机构：

[1] School of Mathematical Sciences, Xinjiang Normal University

[2] Department of Mathematics, East China Normal University

来源：

Acta Mathematica Sinica,English Series | 2019年 / 12期

关键词：

Normal family; holomorphic functions; omitted functions;

D O I：

暂无

中图分类号：

O174.52 [整数函数论、亚纯函数论（半纯函数论）];

学科分类号：

070104 ;

摘要：

In this paper, we continue to discuss the normality concerning omitted holomorphic function and get the following result. Let F be a family of meromorphic functions on a domain D, k ≥ 4 be a positive integer, and let a（z） and b（z） be two holomorphic functions on D, where a（z） ≡ 0 and f’（z） = ∞ whenever a（z） = 0. If for any f∈ F, f（z）-a（z）f（z） = b（z）, then F is normal on D.

引用

页码：1972 / 1978

页数：7

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