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, PDF,    科研立项经费支持
作者: 吴琳琳：福建师范大学数学与统计学院，福建 福州
关键词: 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
摘要: 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。
Abstract: 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.
文章引用：吴琳琳. 具有权弱分担值的微分多项式的亚纯函数的唯一性[J]. 理论数学, 2025, 15(2): 55-69. https://doi.org/10.12677/pm.2025.152046

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