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Let  f ( z ) be an entire function of hyper order strictly less than 1. We prove that if  f ( z ) and its  n th exact differenceΔcnf(z){\Delta }_{c}^{n}f(z)share 0 CM and 1 IM, thenΔcnf(z)≡f(z){\Delta }_{c}^{n}f(z)\equiv f(z). Our result improves the related results of Zhang and Liao [Sci. China A, 2014] and Gao et al. [Anal. Math., 2019] by using a simple method.

Uniqueness on entire functions and their n th order exact differences with two shared values