A Normal Criterion about Two Families of Meromorphic Functions Concerning Shared Values  

作　　者：Xiao Jun LIU San Hua LI Xue Cheng PANG 

机构地区：[1]Department of Mathematics, University of Shanghai for Science and Technology [2]Department of Mathematics, East China Normal University

出　　处：《Acta Mathematica Sinica,English Series》2013年第1期151-158,共8页数学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China(Grant No.11071074);supported by Outstanding Youth Foundation of Shanghai(Grant No.slg10015)

摘　　要：In this paper, we mainly discuss the normality of two families of functions concerning shared values and proved： Let F and G be two families of functions meromorphic on a domain D C C, a1, a2, a3, a4 be four distinct finite complex numbers. If G is normal, and for every f 9~, there exists g C G such that f（z） and g（z） share the values a1, a2, a3, a4, then F is normal on D.In this paper, we mainly discuss the normality of two families of functions concerning shared values and proved： Let F and G be two families of functions meromorphic on a domain D C C, a1, a2, a3, a4 be four distinct finite complex numbers. If G is normal, and for every f 9~, there exists g C G such that f（z） and g（z） share the values a1, a2, a3, a4, then F is normal on D.

关 键 词：Normal family shared values meromorphic functions 

分 类 号：O174.52[理学—数学] TS976[理学—基础数学]