亚纯函数与亚纯代数体函数的Julia点

The Julia point of meromorphic function and meromorphic algebroldal function

讨论定义于｜ｚ｜＜１内的ｖ－值亚纯代数体函数ｗ＝Ｗ（ｚ）（ｖ＝１时，Ｗ（ｚ）就是亚纯函数）．证明了定理如果Ｗ（ｚ）满足条件ｌｉｍｒ→１Ｔ（ｒ）ｌｏｇ１１－ｒ＝∞则存在一个Ｊｕｌｉａ点ｅｉθ０（０≤θ０≤２π），使得对于任意给定的数δ（０＜δ＜π２），在扇形域Δ（θ０，δ）＝ｚ｜ａｒｇｚ－θ０｜＜δ，｜ｚ｜＜１｛｝内，对任何复数值ａ，总有ｌｉｍｒ→１ｎ（ｒ，Δ（θ０，δ），ａ）ｌｏｇ１１－ｒ＝∞最多除去２ｖ个Ｊｕｌｉａ例外值ａ．当Ｗ（ｚ）是亚纯函数时。

In |z|<1 ,for the v value meromorphic algebroidal function W=W(z) (if v=1 ,then W(z) is a meromorphic function),if lim r→1T(r) log 11-r=∞ ,then there is a Julia point e iθ 0 (0≤θ 0≤2π) ,and such that lim r→1n(r,Δ(θ 0,δ),a) log 11-r=∞ ,for any given number δ(0<δ<π2) and any complex value a which is in the domain of circular sector Δ(θ 0,δ)=z| arg z-θ 0|<δ,|z|<1 .At most it can be excluded 2v Julia exeption values a .But if W(z) is a meromorphic function then there are 2 exeption values a .