整函数的一个唯一性定理

A Unicity Theorem for Entire Functions

证明了如下结果：设ｆ（ｚ）和ｇ（ｚ）是非常数的整函数，ａｉ（ｚ）（ｉ＝１，２，３，４）是ｆ（ｚ）和ｇ（ｚ）的四个判别的公共小函数．如果ｆ（ｚ）和ｇ（ｚ）ＣＭ分担ａ１（ｚ）、ＩＭ分担ａ２（ｚ），ａ３（ｚ），ａ４（ｚ），且τ（ａ２）＞０，则ｆ（ｚ）≡ｇ（ｚ）

The following theorem was proved: Suppose that f(z) and g(z) are nonconstant entire functions, and that a i(z) (i=1,2,3,4) are distinct common small functions related to f(z) and g(z) . If f(z) and g(z) share a 1(z) CM, and share a 2(z),a 3(z),a 4(z) IM, and τ(a 2) >0,then f(z)≡g(z) .