调和函数的高阶Schwarzian导数
Higher Order of Schwarzian Derivative of the Harmonic Functions
DOI: 10.12677/PM.2021.111007, PDF, HTML,    国家科技经费支持
作者: 刘禹彤, 漆 毅：北京航空航天大学数学科学学院，北京
关键词: 调和函数；高阶Schwarzian导数；Harmonic Function； Higher Order of Schwarzian Derivative
摘要: 本文定义了调和函数的高阶Schwarzian导数形式，井证明了其仍具有Möbius不变性。其次，本文给出了调和函数的高阶Schwarzian导数的一种等价刻画。
Abstract: In this paper, we define the higher order of Schwarzian derivative of the harmonic functions. We also prove that it is still Möbius invariant. Finally, we give an equivalentcharacterization of the higher order of Schwarzian derivative of the harmonic functions.
文章引用：刘禹彤, 漆毅. 调和函数的高阶Schwarzian导数[J]. 理论数学, 2021, 11(1): 41-46. https://doi.org/10.12677/PM.2021.111007

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