具有四个分担值的亚纯函数的唯一性定理(英文)

Uniqueness Theorems of Meromorphic Functions That Share Four Values

对“如果两个非常数亚纯函数以三个判别复数为IM分担值并以另外一个复数为CM分担值 ,那么这两个函数是否以这四个复数为CM分担值 ?”这一开问题 ,我们研究了两函数具有四个IM分担值并且密指量满足一附加条件时的唯一性 ,得到一些结果 。

For the open question 'If two nonconstant meromorphic functions share three values IM and share a fourth value CM, then do the functions necessarily share all four values CM?', the author studies the case when four values are shared IM and their counting functions satisfy an additional condition. The author obtains some results which answer this question partially.