|
福州大学学报(自然科学版) 2018
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
|
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