亚纯函数在不具有奇异方向的角域内的取值

VALUE DISTRIBUTION OF MEROMORPHIC FUNCTIONS WITHOUT SINGULAR DIRECTIONS IN AN ANGULAR REGION

本文证明如果亚纯函数在某个角域内无某种Julia型奇异方向,则该亚纯函数在这个角域内取某些值的次数不会太多。

In this note, we prove that if f has no singular directins of Julia type in an angular region π(α,β), then for any positive number ε,f will not very often take some three complex numbers in the region π(α+ε,β-ε).