Diferential Inequalities,Normality and Quasi-normality

作     者：Xiao Jun LIU Shahar NEVO Xue Cheng PANG 

作者机构：Department of MathematicsUniversity of Shanghai for Science and Technology Department of MathematicsBar-Ilan University Department of MathematicsEast China Normal University 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2014年第30卷第2期

页      面：277-282页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by National Natural Science Foundation of China(Grant No.11071074) the Tianyuan Special Funds of the National Natural Science Foundation of China(Grant No.11226095) Outstanding Youth Foundation of Shanghai(Grant No.slg10015) supported by the Israel Science Foundation(Grant No.395/07) 

主　　题：Normal family quasi-normal family differential inequality 

摘      要：We prove that ifD is a domain in C,α 〉 1 and C 〉 0,then the family F of functions f meromorphic in D such that ｜f′（z）｜/1 ＋ ｜f（z）｜α 〉 C for every z ∈ D is normal in *** α = 1,the same assumptions imply quasi-normality but not necessarily normality.