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Uniqueness on entire functions and their nth order exact differences with two shared values
Open Mathematics ( IF 1.0 ) Pub Date : 2020-01-01 , DOI: 10.1515/math-2020-0022 Shengjiang Chen 1 , Aizhu Xu 1
Open Mathematics ( IF 1.0 ) Pub Date : 2020-01-01 , DOI: 10.1515/math-2020-0022 Shengjiang Chen 1 , Aizhu Xu 1
Affiliation
Abstract Let f(z) be an entire function of hyper order strictly less than 1. We prove that if f(z) and its nth exact difference Δ c n f ( z ) {\Delta }_{c}^{n}f(z) share 0 CM and 1 IM, then Δ c n f ( 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.
更新日期：2020-01-01
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