A Note on Normal Families of Meromorphic Functions and Sharing Set  

作　　者：XIAO Bing WU Qi-feng YUAN Wen-jun 

机构地区：[1]Department of Mathematics, Xinjiang Normal University, Urumqi 830054, China [2]Shaozhou Normal College, Shaoguan University, Shaoguan 512009, China

出　　处：《Chinese Quarterly Journal of Mathematics》2011年第3期360-365,共6页数学季刊（英文版）

基　　金：Supported by the NSF of China(10771220);Supported by the Doctorial Point Fund of National Education Ministry of China(200810780002)

摘　　要：In the paper,we prove the main result:Let k(≥2)be an integer,and a,b and c be three distinct complex numbers.Let F be a family of functions holomorphic in a domain D in complex plane,all of whose zeros have multiplicity at least k.Suppose that for each f∈F,f(z)and f(k)(z)share the set{a,b,c}.Then F is a normal family in D.In the paper,we prove the main result：Let k（≥2）be an integer,and a,b and c be three distinct complex numbers.Let F be a family of functions holomorphic in a domain D in complex plane,all of whose zeros have multiplicity at least k.Suppose that for each f∈F,f（z）and f（k）（z）share the set{a,b,c}.Then F is a normal family in D.

关 键 词：entire function normal family meromorphic function share value set 

分 类 号：O174.5[理学—数学]