Some unity results on entire functions and their difference operators related to 4 CM theorem

[摘要] 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.

[学科分类] 电力

[关键词] Entire functions;Differences;Shared values;Nevanlinna theory