亚纯函数的充满园和公共Borel方向

THE FILLED CIRCLES AND THE COMMON BOREL'S DIRECTION OF MEROMORPHIC FUNCTION

设ａｒｇｚ＝θ０为入级正纯函数ｆ（ｚ）的入级Ｂｏｒｅｌ方向（０＜λ＜＋∞）．若ａｒｇＺ＝θ．不是ｆ＇（Ｚ）的入级Ｂｏｒｅｌ方向，则存在ｆ（Ｚ）的一列入级充满圆｛Ｄｋ｝，ｋ＝１，．．．，使得，ｎ（ＤＫ，ｆ＝０）＝ｎ（ＤＫ，ｆ＝１）．

Let argZ =θ. be λ-Borel direction of a given meromorphic function f(Z) of order λ, where 0 < λ<∞. If argZ=θ. is not a λ-Borel direction of f' (Z) , then there exists a sequence of filled circles of f(Z): {Dk},k=1, 2 , ..., such that