曲阜师范大学学报（自然科学版）2020，Vol.46Issue(1)：29-39,11.DOI:10.3969/j.issn.1001-5337.2020.1.029
贝努利左半区域内一类解析函数的三阶Hankel行列式
Third-order Hankel determinant for analytic functions based on the left-half of lemniscate of Bernoulli
摘要
Abstract
In this paper,we introduce a class of analytic functions BLα (0≤α≤1) in the left-half bounded domain of lemniscate of Bernoulli,which are defined by using subordination relationship,and investigate the third Hankel determinant H3 (1) of BLo,and its upper bound is obtained.In addition,some special cases of the results obtained are considered.关键词
解析函数/Hankel行列式/贝努利双纽线/从属Key words
analytic function/Hankel determinant/lemniscate of Bernoulli/subordination分类
数理科学引用本文复制引用
张海燕,汤获,牛潇萌..贝努利左半区域内一类解析函数的三阶Hankel行列式[J].曲阜师范大学学报（自然科学版）,2020,46(1):29-39,11.基金项目
Natural Science Foundation of China(11561001) （11561001）
National Natural Science Foundation of China(11761006) （11761006）
Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region(NJYT-18-A14) （NJYT-18-A14）
Natural Science Foundation of Inner Mongolia of China (2018MS01026) （2018MS01026）
Higher School Foundation of Inner Mongolia of China (NJZY20200,NJZY17301). （NJZY20200,NJZY17301）
