亚纯函数的分担值与正规族

journal6 ›› 2008, Vol. 29 ›› Issue (3): 17-21.

亚纯函数的分担值与正规族

(湖南农业大学理学院应用数学系,湖南长沙 410128)

出版日期:2008-05-25 发布日期:2012-05-23

Share Values and Normality of Meromorphic Functions

(Dept. of Applied Math.,College of Science,Hunan Agricultural University,Changsha 410128,China)

Online:2008-05-25 Published:2012-05-23
About author:WANG You-ming(1973-),male,was born in Shaoyang City,Hunan Province,lecturer;research area is complex analysis.
Supported by:
NSF of Hunan Province (06C417)

摘要/Abstract

摘要：假设F是区域DC的一亚纯函数族.设k(≥2)是一个正整数,且a,b,c，d是4个相互判别的有限复数并满足c≠0,d≠a,c≠b.对每个函数f∈F,如果f-a所有的零点的重级不小于k，且f(k)=b当且仅当f=a，f(k)=c当f=d,那么F在D内正规.

关键词： 亚纯函数, 分担值, 正规族

Abstract: Let F be a family of meromorphic functions in a domain　DC,let k≥2 be a positive integer,and a,b,c，d　be　four finite complex numbers such that c≠0,d≠a,c≠b.If for every f∈F,all zeros of f-a have multiplicity at　least k,and f(k)=b if and onl
y if f=a,and f =d　whenever f(k)=c,then F is normal in 　D.

Key words: meromorphic function, share value, normality

王有明. 亚纯函数的分担值与正规族[J]. journal6, 2008, 29(3): 17-21.

WANG You-Ming. Share Values and Normality of Meromorphic Functions[J]. journal6, 2008, 29(3): 17-21.

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