分担四值的亚纯函数的唯一性

The Uniqueness of Meromorphic Functions of Sharing Four Values

研究了亚纯函数的四值分担问题.对刘思思与黄斌得到的有穷级整数级的亚纯函数分担3IM+1CM的唯一性定理中的IM分担条件进行减弱,并得到结论:如果一个有穷非整数级与下级的亚纯函数与任意一个亚纯函数分担3个‘IM'值和1个CM值,则它们必相等.

The study mainly focuses on the four-value sharing of Meromorphic functions.When the condition of IM sharing about Liu Sisi and Huang Bin’s result is weakened,a conclusion can be drawn that if a meromorphic function of finite non-integer order and lower order shares 3‘IM’and 1 CM vaules with any meromorphic function,then they must be equal.