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数学与物理
理论数学
Vol. 14 No. 4 (April 2024)
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关于Lavie导数的一点注记
A Note on Lavie Derivative
DOI:
10.12677/pm.2024.144123
,
PDF
,
被引量
作者:
张 庭
,
赵 林
,
王念军
:贵州师范大学数学科学学院,贵州 贵阳
关键词:
单叶函数
;
Lavie导数
;
Aharonov不变量
;
Schwarzian导数
;
Univalent Function
;
Lavie Derivative
;
Aharonov Invariants
;
Schwarzian Derivative
摘要:
阐述了Aharonov不变量、Lavie导数以及Schwarzian导数三者之间的联系,进一步,利用Aharonov不变量给出一个共形映射关于Aharonov不变量的显式表达式,且说明了Lavie导数是属于Banach空间的一个闭子空间。
Abstract:
The relations among Aharonov invariants, Lavie derivative and Schwarzian derivative are discussed. Furthermore, using Aharonov invariants to give an explicit formula for a conformal mapping with respect to Aharonov invariants, it is further shown that Lavie derivative belongs to a closed subspace of Banach space.
文章引用:
张庭, 赵林, 王念军. 关于Lavie导数的一点注记[J]. 理论数学, 2024, 14(4): 170-175.
https://doi.org/10.12677/pm.2024.144123
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