关于CM分担四个公共小函数的亚纯函数结论的改进

关于CM分担四个公共小函数的亚纯函数结论，我们在考虑重值的条件下，改进了李平和杨重骏^2]的结论：设f(z)与g(z)为非常数亚纯函数，aj(z)(j=1,2,….4)为f(z)与g(z)的四个判别的小函数，若f(z)与g(z)满足Ek)(aj,f)=Ek)(aj,g),(j=1,2,3,4)且k(≥15）是正整数，则f(z)是g(z)的拟分式线性变换。即:存在f(z)与g(z)的四个小函数a(z),b(z),c(z),d(z),使得f=ag b/cg d(ad-bc≠0），（亦称Quasi-Mobuys变换）。

A FURTHER RESULT ABOUT MEROMORPHIC FUNCTIONS SHARING FOUR SMALL FUNCTIONS CM

In this paper, we proved a result that if two meromorphic functions f(z) andg (z) share four small functions aj (z) (j = 1,2,3,4) in the sense of Ek) (aj,f) = Ek) (aj ,g), (j =1,2,3,4) (k≥ 15) , then f is a quasi-Mobius transformation of g: I.e. ,there exist four smallfunctions a1 (I = 1,2,3,4 ) of f and g such that f = (a1g + a2)/(a3g + a4 ) ,where a1a4 - a2a3(=)0.