Uniqueness of Meromorphic Functions with Their nth Order Differences

Let f be a transcendental meromorphic function of hyper-order strictly less than 1. In this paper, we deal with the uniqueness problem on f sharing two values with its nth order differences Δ^n f. And this research extends earlier results by Chen and Yi (Result Math 63:557–565, 2013), Gao et al. (Anal Math 45:321–334, 2019) and Lü and Lü (Comput Methods Funct Theory 17:395–403, 2017).