单位圆内亚纯函数的奇异点

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．

The Singular Point of the Meromorphic Function on the Unit Disc

In this paper, the existence of the singular pointrelated to normal criterion is widely proved for the meromorphic functionof 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 andsatisfies r1-0(T(r,f))/(2(1)/(1-r))=+, then there exists pointei0(00<2) such that for every positive >0, every integer n 1, and every finite complexnumber a(a=0), we have r 1-0 n(r, 0, ; f′fn=a)=+.