Value distribution of certain difference polynomials of meromorphic functions

Abstract

In this paper, we establish a theorem concerning value distribution of certain difference polynomials of meromorphic functions, which extends [{\bf14}, Theorem 2] and [{\bf16}, Theorem 1.2]. Applying this result, we prove some uniqueness theorems of meromorphic functions whose certain difference polynomials share a non-zero polynomial, which extends [{\bf18}, Theorems 1.1 and 1.2] and [{\bf23}, Theorem 6], where the meromorphic functions are of finite order.