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具有权弱分担值的微分多项式的亚纯函数的唯一性
The Uniqueness of Meromorphic Functions of the Differential Polynomials with the Weakly Weighted Sharing Value

DOI: 10.12677/pm.2025.152046, PP. 55-69

Keywords: 微分多项式,亚纯函数,权弱分担,唯一性定理
Differential Polynomials
, Meromorphic Functions, Weakly Weighted Sharing, Uniqueness Theorems

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Abstract:

本文研究了一个形如 f n ( z )( α f m ( z )+β ) 的亚纯函数的k阶导数及其移动算子的k阶导数权弱分担值的唯一性问题,其中 m,n,k 均是正整数, α,β 是满足 | α |+| β |0 的常数,将2018年林珊华和林伟川提出的结果推广到更一般的形式。
In this paper, we study the uniqueness problem of the weakly weighted sharing values for the k-th derivative of a meromorphic function of the form f n ( z )( α f m ( z )+β ) and the k-th derivative of its translation operator, where m,n,k are all positive integers, and α,β are constants satisfying | α |+| β |0 the results proposed by Lin Shanhua and Lin Weichuan in 2018 are extended to a more general form.

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