关于Aharonov不变量的一点注记  

A Note on the Aharonov Invariants

作　　者：赵林 张庭 唐树安 ZHAO Lin;ZHANG Ting;TANG Shu'an(School of Mathematical Sciences,Guizhou Normal University,Guiyang 550025,China)

机构地区：[1]贵州师范大学数学科学学院,贵州贵阳550025

出　　处：《兰州工业学院学报》2024年第5期102-105,共4页Journal of Lanzhou Institute of Technology

摘　　要：对于单位圆盘Δ内的单叶函数f,利用其Schwarzian导数的高阶导数对Aharonov不变量进行刻画,得到了Aharonov不变量的一个显式表达式。引入Lavie导数,建立了它与函数f的Schwarzian导数的高阶导数以及Aharonov不变量之间的关系,并对Lavie导数的模作一个简单的刻画。For a univalent function f in the unit diskΔ,the Aharonov invariants are characterized by the higher-order derivative of its Schwarzian derivative,and a explicit formula of the Aharonov invariants is obtained.By introducing the Lavie derivative,establishes its relationship with the higher-order derivatives of the Schwarzian derivative of f and the Aharonov invariants,and gives a simple characterization of the modulus of Lavie derivative.

关 键 词：单叶函数 Aharonov不变量 Lavie导数 

分 类 号：O174[理学—数学]