论文标题
$ p（f）$和$ [p（f）]^{（k）} $的独特性
Uniqueness of $P(f)$ and $[P(f)]^{(k)}$ concerning weakly weighted sharing
论文作者
论文摘要
在本文中，借助\ emph {lin -lin}提出的弱加权共享的想法[Kodai Math。 J.，29（2006），269-280]，我们研究多项式表达式$ p（f）$和$ [p（f）]^{（k）} $的唯一性，共享一个小函数。主要结果显着改善了\ emph {liu -gu} [Kodai Math的结果。 J.，27（3）（2004），272-279]。这项研究工作探讨了某些条件，在这些条件下，多项式$ p（f）$可以减少到非零单位，因此，获得了函数$ f $的特定形式。通过某些建设性的例子，已经表明，主要结果中的某些条件无法删除，并且某些不平等现象很清晰。
In this paper, with the help of the idea of weakly weighted sharing introduced by \emph{Lin -Lin} [Kodai Math. J., 29(2006), 269-280], we study the uniqueness of a polynomial expression $ P(f) $ and $ [P(f)]^{(k)} $ of a meromorphic function $ f $ sharing a small function. The main results significantly improved the result of \emph{Liu - Gu} [Kodai Math. J., 27(3)(2004), 272-279]. This research work explores certain condition under which the polynomial $ P(f) $ can be reduced to a non-zero monomial, and as a consequence, the specific form of the function $ f $ is obtained. By some constructive examples it has been shown that some conditions in the main results can not be removed and some of the inequalities are sharp.
