摘要
本文对单位圆内零级亚纯函数得到了一个较为广泛的与正规定则相应的奇异点的存在性，并由此得到如下结果：若单位圆|z|＜1内的亚纯函数满足则存在点eiθ0（≤θ0＜2π）使得对任意正数ε＞0任意正整数。n≥1，恒有limr→l-0n（r，θ0，ε；flfm=a）=＋∞对每一有穷非零复数a成立．
In this paper, the existence of the singular point related to normal criterion is widely proved for the meromorphic function of zero order on the unit disc, and thus, we obtain the follow result: suppose that f(z) is the meromorphic function on the unit disc and satisfies then there exists point eiθo (0≤θ0 ＜2π) such that for every positive ε＞0, every integer n ≥ 1, and every finite complex number a(a ≠ 0), we have limr→1-0 n(r, θ0, ε, fl fn = a) = +∞.
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
2000年第4期751-756,共6页
Acta Mathematica Sinica：Chinese Series
基金
国家自然科学基金!19671091
关键词
亚纯函数
奇异点
正规族
单位圆
Meromorphic function
Singular point
Normal family
