文献类型：期刊文献

中文题名：On Normal Criterion of Meromorphic Functions

英文题名：On Normal Criterion of Meromorphic Functions

作者：Zhang Wen-hua[1]

机构：[1]Department of Mathematics, East China University of Science and Technology, Shanghai 200237,China

年份：2006

卷号：21

期号：4

起止页码：577

中文期刊名：Chinese Quarterly Journal of Mathematics

外文期刊名：数学季刊（英文版）

收录：CSTPCD;;北大核心:【北大核心2004】；CSCD:【CSCD2011_2012】；

语种：英文

中文关键词：meromorphic function; normal criterion

外文关键词：正规标准;亚纯函数;多样性;数学分析

摘要：We proved： Let F be a family of meromorphic functions in a domain D anda α ≠0, b ∈C. If f1（z） - α（f（z））^2 ≠ b, f≠ 0 and the poles of f（z） are of multiplicity ≥ 3 foreach f（z） ∈F, then F is normal in D.
We proved: Let F be a family of meromorphic functions in a domain D and a ≠ 0, b ∈ C. If f'(z) - a(f(z))2 ≠ b, f ≠ 0 and the poles of f(z) are of multiplicity ≥3 for each f(z) ∈ F, then F is normal in D.