两类解析函数的三阶Hankel行列式的上界估计  

The Upper Bounds of the Third Hankel Determinant for Two Subclasses of Analytic Functions

作　　者：郭栋 汤获[2] 文传军 李宗涛[3] GUO Dong;TANG Huo;WEN Chuanjun;LI Zongtao(School of Mathematical Sciences,Yangzhou Polytechnic College,Yangzhou 225009,China;School of Mathematics and Statistics,Chifeng University,Chifeng 024000,China;Faculty of Humanities and Social Sciences,Guangzhou Civil Aviation College,Guangzhou 510403,China)

机构地区：[1]扬州市职业大学数学科学学院,扬州225009 [2]赤峰学院数学与统计学院,赤峰024000 [3]广州民航职业技术学院人文社科学院,广州510403

出　　处：《华南师范大学学报（自然科学版）》2024年第1期118-122,共5页Journal of South China Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11561001);安徽省高校自然科学基金项目(KJ2018A0833,KJ2020A0993,KJ2020ZD74);内蒙古自治区高等学校科学研究项目(NJZY19211)。

摘　　要：令H表示形如f(z)=z+a_(2)z^(2)+a_(3)z^(3)+…且在U={z:|z|<1}内解析的函数类,研究了在单位圆盘上的2类解析函数类■的三阶Hankel行列式|H_(3),_(1)(f)|的上界估计。Let H denote the family of all analytic functions with the form f(z)=z+a_(2)z^(2)+a_(3)z^(3)+…in the unit disk U={z:|z|<1}.Two subclasses of analytic functions STs and R(1/2)which are difined in the unit disk U are intro⁃duced,respectively,i.e.,■And the bounds of|H_(3),_(1)(f)|for subfamilies of STs and R(1/2)are obtained.

关 键 词：解析函数 有关对称点的星像函数类 三阶Hankel行列式 

分 类 号：O174.51[理学—数学]