Uniqueness of meromorphic functions that share Two Sets

Abstract

In this note, we present one uniqueness theorem which shows how two meromorphic functions are uniquely determined by their two finite shared sets. These sharing sets are a new kind of pair of finite range sets in $\mathbb{C}$ for meromorphic functions corresponding to their uniqueness. Moreover, we answered a question positively raised in (\cite{1}).Comment: 9 page