关于Hayman方向

本文获得如下定理:设f(z)为开平面上λ(0<λ<+∞)级亚纯函数,则至少存在一条由原点引出的半直线(B):arg z=θ_?(0≤θ_0<2π),使得对于任意正数ε,任意正整数k及任意两个开平面上级小于λ的亚纯函数a(z)及b(z),只要b(z)—a^((k))(z)?0就有 lim log{n(r,θ_0,ε,f=a(z))+n(r,θ_0,ε,f^((k))=b(z))}/logr=λ。

Singular Directions and Differential Polynomials of Meromorphic Functions

We prove the existance of a kind of singular directions concerning the differentialpolynomials f（k）+sum from j=0 to k-1 ajfj-afn