单位圆内半纯函数的Nevanlinna点的存在性定理

单位圆内半纯函数的Nevanlinna点的存在性定理 THE EXISTENCE THEOREM OF NEVANLINNA’S POINTS OF MEROMORPHIC FUNCTIONS IN |Z|<1 孙道椿 Sun Daochun first-author 本文对单位圆内半纯函数f（z）定义了Borel点和四种Nevanlinna点.在的条件下,证明了f（z）至少存在一个Nevalllinna点和一个Borel点,且并讨论了这些点的个数。 In this paper, the auther defines Nevanlinna point for mcromorphic functions in ∣z∣<1, and obtains the following results: Theorem A: Let ω（z） be a meromorphic function in ∣z∣<1, and such that Then there exists at least a Nevanlinna point which is also a Borel point with respect to Theorem B: With the conditions of theorem A, if for arbitrary φ（0≤φ<2π）, we have then there are at least two Nevanlinna points which are also two Borel pointswith respect to 1984-02-01 2021-04-01 2