亚纯函数及其导数的公共Borel点

Common Borel Point of Meromorphic Functions and Its Derivative in the Unit Disc

证明了单位圆内的有限级亚纯函数及其导函数存在公共的强Borel点,所得结果与Valiron在1928年提出的一个开问题是相关的.

For a meromophic function of finite order growth in the unit disc, the existence of common strong Borel point of it and its derivative in the unit disc is proved. This result ralates an open question which is posed by Valiron in 1928.