亚纯函数的一个正规定则

数学季刊 ›› 2006, Vol. 21 ›› Issue (4): 577-580.

亚纯函数的一个正规定则

Department of Mathematics East China University of Science and Technology,,Shanghai 200237,China

收稿日期:2003-05-09 出版日期:2006-12-30 发布日期:2023-11-21
作者简介: ZHANG Wen-hua(1976-),female,native of Zhuji,Zhejiang,a lecturer of East China University of Science and Technology,M.S.D.,engages in complex analysis.

On Normal Criterion of Meromorphic Functions

Department of Mathematics East China University of Science and Technology,,Shanghai 200237,China

Received:2003-05-09 Online:2006-12-30 Published:2023-11-21
About author: ZHANG Wen-hua(1976-),female,native of Zhuji,Zhejiang,a lecturer of East China University of Science and Technology,M.S.D.,engages in complex analysis.

摘要/Abstract

摘要： 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.

关键词: meromorphic function, normal criterion

Abstract: 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.

Key words: meromorphic function, normal criterion

中图分类号:

O174.52

章文华 . 亚纯函数的一个正规定则[J]. 数学季刊, 2006, 21(4): 577-580.

Zhang Wen-hua. On Normal Criterion of Meromorphic Functions [J]. Chinese Quarterly Journal of Mathematics, 2006, 21(4): 577-580.

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