单位圆内无穷级代数体函数的强Borel点

The Maximality Borel Point of Algebroidal Function with Infinite Order in Unit Circle

为了研究单位圆内无穷级代数体函数的强Borel点存在性问题,首先给出了单位圆内无穷级代数体函数的强Borel点及最大型Borel点的定义,通过建立的相关引理,进而证明得到了单位圆内无穷级代数体函数必存在强Borel点且其强Borel点必是其最大型Borel点及Borel点。

In order to study existence problem about the maximality Borel point of algebroidal function with infinite order of growth in unit circle,we define the maximality Borel point and maximum Borel point of algebroidal function with infinite order of growth in unit circle firstly,by establishing correlative lemmas,then prove and gain that algebroidal function with infinite order of growth in unit circle must possess one maximality Borel point,and it＇s maximality Borel point must be it＇s maximum Borel point and Borel point.