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Uniqueness of meromorphic functions whose certain nonlinear differential polynomials share a polynomial

机译:亚纯函数的某些非线性微分多项式共享一个多项式的唯一性

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摘要

In this paper, we get two uniqueness theorems of meromorphic functions whose certain nonlinear differential polynomials share a polynomial. The results in this paper extend the corresponding results given by Fang (2002) in [7]. Our reasoning in this paper will correct a defective reasoning in the proof of Theorem 4 in Bhoosnurmath and Dyavanal (2007) [8]. An example is provided to show that some conditions of the main results in this paper are necessary.
机译:在本文中,我们获得了亚纯函数的两个唯一性定理,它们的某些非线性微分多项式共享一个多项式。本文的结果扩展了Fang(2002)在[7]中给出的相应结果。我们在本文中的推理将纠正Bhoosnurmath和Dyavanal(2007)[8]中定理4证明中的有缺陷的推理。通过一个例子说明了本文主要结果的某些条件是必要的。

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