Uniqueness and periodicity of meromorphic functions concerning the difference operator

Abstract

In this paper, we investigate the uniqueness problems of difference polynomials of meromorphic functions that share a value or a fixed point. We also obtain several results concerning the shifts of meromorphic functions and the sufficient conditions for periodicity which improve some recent results in Heittokangas et al. (2009) [10] and Liu (2009) [11] .