单位圆内部分零级代数体函数的强Borel点及性质

The Maximality Borel Point and Its Properties of Some Algebroidal Function with Zero Order in Unit Disk

【目的】研究单位圆内在一定条件下,零级代数体函数的强Borel点存在性问题。【方法】应用建立的在角域取值的密指量与特征函数的关系式,以及特征函数与型函数的关系引理。【结果】证明得到了单位圆内在此条件下,零级代数体函数必存在强Borel点且它的强Borel点必是它的最大型Borel点及Borel点。【结论】从而得到了部分零级代数体函数的强Borel点存在定理及性质。

[Purposes]In order to study existence problem about the maximality Borel point of algebroidal function with zero order of growth in unit disk in certain conditions. [Methods] By using established relation of its counting function in angular domain and characteristic function, and lemmas about relation of characteristic function and type function. [Findings]It proved that algebroidal function with zero order of growth in unit disk in this conditions must possess one maximality Borel point, and its maximality Borel point must be its maximum Borel point and Borel point.[Conelusions[It gained that existence theorem and properties of some algebroidal function with zero order in unit disk.