ABSTRACT

Let f be a nonconstant meromorphic function of finite order, and $L(z,f)$ be a linear difference polynomial in f with small meromorphic coefficients. Some uniqueness theorems related to f sharing three values with $L(z,f)$ are obtained. We also prove that f is identical with its difference operator ${\mathrm{\Delta }}_{\eta }^{n}f$, if they share three values CM. Some examples are given to show our results are best possible.

中文翻译：

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亚纯函数的唯一性定理及其差分多项式

摘要

令f是一个有限阶的非常量亚纯函数，并且$升(z,F)$是f 中具有小的亚纯系数的线性差分多项式。与f共享三个值的一些唯一性定理$升(z,F)$获得。我们还证明f与其差分算子相同${\mathrm{\Delta }}_{\eta }^{n}F$，如果他们共享三个值 CM。给出了一些例子来表明我们的结果是最好的。