亚纯函数结合导数的辐角分布

摘要

In this paper, the authors investigate the argument distribution of meromorphic functions and their derivatives. By using Ahlfors' theory of covering surface, they establish the existence of the the singular direction of zero order meromorphic functions and their derivatives, which generalizes the related result of Yang Le for finite positive order meromorphic functions.%本文研究了亚纯函数结合导数的辐角分布.利用覆盖曲面的方法,获得了平面上一类零级亚纯函数结合其导数的奇异方向的存在性,推广了杨乐等关于有限正级亚纯函数的相关结果.