SOME NORMALITY CRITERIA OF MEROMORPHIC FUNCTIONS  

作　　者：雷春林 方明亮 曾翠萍 

机构地区：[1]Department of Applied Mathematics,South China Agricultural University [2]Department of Mathematics,Guangdong University of Finance

出　　处：《Acta Mathematica Scientia》2013年第6期1667-1674,共8页数学物理学报（B辑英文版）

基　　金：Supported by the NNSF of China(11071083);the Tianyuan Foundation(11126267)

摘　　要：Let F be a family of functions meromorphic in a domain D, let n ≥ 2 be a positive integer, and let a ≠ 0, b be two finite complex numbers. If, for each f ∈ F, all of whose zeros have multiplicity at least k ＋ 1, and f ＋ a（f^（k））^n≠b in D, then F is normal in D.Let F be a family of functions meromorphic in a domain D, let n ≥ 2 be a positive integer, and let a ≠ 0, b be two finite complex numbers. If, for each f ∈ F, all of whose zeros have multiplicity at least k ＋ 1, and f ＋ a（f^（k））^n≠b in D, then F is normal in D.

关 键 词：meromorphic function value distribution normal families 

分 类 号：O174.52[理学—数学] O174[理学—基础数学]