亚纯函数及其导数涉及分担值的唯一性
Uniqueness of Meromorphic Functions and Their Derivatives Involving Shared Values
DOI: 10.12677/PM.2021.111016, PDF,   
作者: 贾 丽, 郅皓翔：云南师范大学数学学院，云南 昆明
关键词: 亚纯函数；分担值；唯一性；导数；Meromorphic Function； Shared Value； Uniqueness； Derivative
摘要: 本文主要证明了若f(z)为非常数亚纯函数，k为大于1的整数。若f与f'以1为IM分担值，f'与f(k)以1为CM分担值，且，则f≡f(k)。
Abstract: In this paper, we shall prove that if a non-constant meromorphic f and its first derivative f' share the value 1 IM, k is an integer greater than 1, f' and f(k) share the value 1 CM. , then f≡f(k).
文章引用：贾丽, 郅皓翔. 亚纯函数及其导数涉及分担值的唯一性[J]. 理论数学, 2021, 11(1): 109-114. https://doi.org/10.12677/PM.2021.111016

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