摘要：Let E(a, f) be the set of a-points of a meromorphic function f(z) count-ing multiplicities. We prove that if a transcendental meromorphic function f (z) of hyper order strictly less than 1 and its nth exact difference?nc f(z) satisfy E(1, f)=E(1,?nc f), E(0, f)?E(0,?nc f) and E(∞, f)?E(∞,?nc f), then ?nc f(z)≡f(z). This result improves a more recent theorem due to Gao et al. (Gao Z, Kornonen R, Zhang J, Zhang Y. Uniqueness of meromorphic functions sharing values with their nth order exact differences. Analysis Math., 2018, https://doi.org/10.1007/s10476-018-0605-2) by using a simple method.
