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) (lambda f (z + c)(m) + mu f (z)(m)) a, where f is a moromorphic function, n, m are two non-negative integers, and lambda, mu 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].