摘要
We studied the normality criterion for families of meromorphic functions related to shared sets.Let F be a family of meromorphic functions on the unit disc Δ,a and b be distinct non-zero values,S={a,b},and k be a positive integer.If for every f∈F,i) the zeros of f(z) have a multiplicity of at least k+1,and ii) f(k)(S)■f(S),then F is normal on Δ.At the same time,the corresponding results of normal function are also proved.
We studied the normality criterion for families of meromorphic functions related to shared sets. Let F be a family of meromorphic functions on the unit disc △, a and b be distinct non-zero values, S={a,b}, and k be a positive integer. If for every f∈ F, i） the zeros of f（z） have a multiplicity of at least k＋ 1, and ii） E^-f（k）（S） lohtain in E^-f（S）, then F is normal on .4. At the same time, the corresponding results of normal function are also proved.
关键词
亚纯函数
数学理论
数学分析
计算方法
meromorphic function
normal family
shared values
shared sets
