具有两个IM公共值集的亚纯函数

On Uniqueness of Meromorphic Functions Sharing Two IM Sets

中文关键词:  亚纯函数  公共值集  唯一性

英文关键词:meromorphic functions  shared set  uniqueness.

中文摘要:

      本文讨论了亚纯函数的唯一性问题,证明了存在一个具有13个元素的集合S使得对任意两个非常数的亚纯函数f与g,只要满足E(S,f)=E(S,g)和E({∞),f)=E({∞},g),必有f≡g.

英文摘要:

      The problem of the uniqueness of meromorphic functions is discussed, and the following theorem is proved: There exists a set with 13 elements such that any two nonconstant meromorphic functions f and g satisfying E(S,f) = E(s,g) and E({∞},f) = E{∞},g) must be identical.