On Uniqueness of Meromorphic Functions and Their Difference Operators with Partially Shared Values

摘要

In this paper, we prove a uniqueness theorem for meromorphic functions and their difference operators with one CM value and two partially shared values. Consequently, not only we give a simple proof of a conjecture posed by Chen and Yi using a new method which is very different from the one proposed by Lu and Lu, but our result is also more general than the related ones due to Chen and Yi, Zhang and Liao, and Lu and Lu.