α阶强β -螺线形函数类亚历山大变换的对数导数范数上界估计  

Upper bound estimation of logarithmic derivative norm of Alexandrian transformation of theα-order strongβ-helix function

作　　者：段敏 DUAN Min(School of Mathematics and Computational Science,Guilin University of Electronic Technology,Guilin 541004,China;Hunan Communication Polytechnic,Changsha 410132,China)

机构地区：[1]桂林电子科技大学数学与计算科学学院,广西桂林541004 [2]湖南交通职业技术学院,长沙410132

出　　处：《桂林电子科技大学学报》2020年第5期445-449,共5页Journal of Guilin University of Electronic Technology

基　　金：广西高校中青年教师基础能力提升项目(2019KY1026)。

摘　　要：为了对螺线形函数类亚历山大变换的对数导数范数上界进行估计,提出了在Schwarz引理基础上结合Schwarz-pick估计方法构建上界表达式,得到3个定理。研究成果是Schwarz导数和对数导数在Teichmüller空间理论中的推广。In order to estimate the upper bound of the norm of logarithmic derivative of Alexandrian transformation ofα-order strongβ-spiral function class,the expression of upper bound based on the Schwarz lemma and the Schwarz-pick estimation method was proposed,and three theorems were obtained.The results were the generalization of Schwarz derivative and logarithmic derivative in Teichmüller space theory.

关 键 词：螺线形函数类 亚历山大变换 对数导数范数 从属函数 

分 类 号：O174.5[理学—数学]