PERIODICITY AND UNIQUENESS OF MEROMORPHIC FUNCTIONS CONCERNING SHARING VALUES

摘要

In this paper, we obtain two sufficient conditions for periodicity of mermorphic functions of infinite order concerning three sharing values (2CM+1IM), which are improvements of the related results on meromorphic functions of finite order. As applications, we prove an uniqueness theorem of a meromorphic function g(z) when g(z) shares two values CM and one value IM with a periodic meromorphic function f(z) by a new method. Examples are given to show that our results are precise.