关于全纯函数分担值的正规族一点注记  

Note on Normal Families of Holomorphic Functions Concerning Shared Value

作　　者：刘礼培[1] 

机构地区：[1]重庆文理学院数学与统计学院,重庆永川402160

出　　处：《西南师范大学学报（自然科学版）》2010年第5期29-31,共3页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：重庆市教育委员会科学技术研究项目(KJ101201)

摘　　要：研究全纯函数分担值时的正规族问题.得到了:设F是区域D内全纯函数族,n是不小于2的整数,a(≠0,∞),b(≠∞)为复常数,对任意的f∈F,f的零点重级至少为3.若任意的f,g∈F,有f+a(f′)n和g+a(g′)n分担值b,则F在区域D内正规.The problem of normal families of holomorphic functions concerning shared values was studied.Let F be a family of holomorphic functions in a domain D∈C such that each f∈F has only zeros of multiplicity at least 3.if for each pair of functions f and g in F,f＋a（f′）n and g＋a（g′）n share a value b in D where n is a positive integer and a,b are two finite constants such that n≥2 and a≠0,then F is normal in D.

关 键 词：全纯函数 正规族 分担值 

分 类 号：O174.52[理学—数学]