一类与贝努利双纽线和共轭点有关的广义解析函数的三阶Hankel行列式

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英文篇名：Third Hankel Determinant for a Class of Generalized Analytic Functions Associated with Bernoulli's Lemniscate and Conjugate Points 作者：张海燕 ; 汤获 ; 马丽娜 英文作者：ZHANG Hai-yan;TANG Huo;MA Li-na;School of Mathematics and Statistics, Chifeng University; 关键词：解析函数 ; 共轭点 ; 三阶Hankel行列式 ; 贝努利双纽线 ; 上界 英文关键词：analytic function;;conjugate point;;third Hankel determinant;;Bernoulli's lemniscate;;upper bound 中文刊名：XNND 英文刊名：Journal of Southwest University(Natural Science Edition) 机构：赤峰学院数学与统计学院; 出版日期：2019-06-20 出版单位：西南大学学报(自然科学版) 年：2019 期：v.41;No.294 基金：国家自然科学基金项目(11561001,11761006);; 内蒙古高等学校科学研究项目(NJZY16251) 语种：中文; 页：XNND201906012 页数：6 CN：06 ISSN：50-1189/N 分类号：79-84

摘要

设A表示在单位圆盘D={z:|z|<1}内解析且满足f(0)=f′(0)-1=0的函数类.首先,引入了与贝努利双纽线有关且具有共轭点的广义解析函数类SL~*_c(α,μ):■然后,讨论了此类函数的三阶Hankel行列式H_3(1),得到其上界估计.
        Let A be the class of analytic functions in the unit disc D={z: |z|<1} normalized by f(0)=f′(0)-1=0. First, a class of generalized analytic functions associated with Bernoulli's lemniscate and conjugate points are introduced, which is shown as:■Then, the third Hankel determinant H_3(1) for this function class is investigated and the upper bound of the above determinant is obtained.

引文

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