This paper is to consider the unity results on entire functions sharing two values with their difference operators and to prove some results related to 4 CM theorem. The main result reads as follows: Let $f(z)$ be a nonconstant entire function of finite order, and let $a_{1}$ , $a_{2}$ be two distinct finite complex constants. If $f(z)$ and $\Delta _{\eta }^{n}f(z)$ share $a_{1}$ and $a_{2}$ “CM”, then $f(z)\equiv \Delta _{\eta }^{n} f(z)$ , and hence $f(z)$ and $\Delta _{\eta }^{n}f(z)$ share $a_{1}$ and $a_{2}$ CM.

中文翻译：

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关于4 CM定理的整体函数及其差分算子的一些统一结果

本文将考虑与其差分算子共享两个值的整个函数的统一结果，并证明与4 CM定理有关的一些结果。主要结果如下：令$ f（z）$为有限阶的非恒定整体函数，令$ a_ {1} $，$ a_ {2} $为两个不同的有限复数常量。如果$ f（z）$和$ \ Delta _ {\ eta} ^ {n} f（z）$共享$ a_ {1} $和$ a_ {2} $“ CM”，则$ f（z）\ equiv \ Delta _ {\ eta} ^ {n} f（z）$，因此$ f（z）$和$ \ Delta _ {\ eta} ^ {n} f（z）$共享$ a_ {1} $和$ a_ {2} $ CM。