Zeros and Uniqueness of Difference Polynomials of Meromorphic Functions

This research is a continuation of a recent paper due to the first author in [9].Different from previous results, we investigate the value distribution of difference polynomials of moromorphic functions in this paper.In particular, we are interested in the existence of zeros of f (z) n (λf (z + c) m + µf (z) m ) -a, where f is a moromorphic function, n, m are two non-negative integers, and λ, µ are non-zero complex numbers.However, the proof here is obviously different to the one in [9].We also study difference polynomials of entire functions sharing a common value, which improves the result in [10,13].