亚纯函数角域内分担3个值的唯一性

Uniqueness of Meromorphic Functions Sharing Three Values in an Angular Domain

为寻求用较少的条件来确定函数间的关系,探讨了亚纯函数在角域内分担3个值的情况下函数的唯一性问题.通过建立角域上特征函数S(r,f)与计数函数C(r,f)的关系,将H.Ueda得到的亚纯函数在全平面上分担3个值的唯一性定理推广到角域内,并改进了张庆彩在角域内分担4个值的唯一性定理,得到在角域内分担3个值的唯一性定理.

To seek with less conditions to determine the relationship of functions, the uniqueness problem of the meromorphic functions in the angle domain sharing three values was discussed. It established the relationship of the characteristic function S （r,f） and the counting function C （r,f） , sequentially extended the uniqueness of meromorphic functions sharing three values in the whole complex plane by H. Ueda＇s and the four-value theorem in an angular domain by Zhang Qing-cai, got the three-value theorem in an angular domain.