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具有权弱分担值的差分或微分多项式的亚纯函数的唯一性
The uniqueness of meromorphic functions of the differential or differential polynomial with the weakly weighed sharing value

DOI: 10.7631/issn.1000-2243.16270

Keywords: 差分多项式 权弱分担 亚纯函数 唯一性
difference polynomials weakly weighted sharing meromorphic functions uniqueness theorems

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Abstract:

利用权弱分担的定义以及唯一性理论方法讨论亚纯函数的k阶导数与差分或微分多项式的k阶导数分担值的问题. 分析结果表明,当分担“(1,m)”且Θ(∞,f)介于一定范围的情况下,两个函数的k阶导数相等,其中对应不同的m值,n,m需满足不同的不等式.
We mainly use the definition of the weakly weighted sharing and the theory of uniqueness to discuss the problem that the k derivative of meromorphic function and the k derivative of the differential or differential polynomial share one value. The result is that k derivative of the two functions are equal when they share “(1,m)” and Θ(∞,f) is in a certain range,and different m value needs to satisfy different inequalities

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