吉林大学学报(理学版) ›› 2022, Vol. 60 ›› Issue (1): 53-0058.

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从属于指数函数的星像函数子类的四阶Toeplitz行列式

张海燕, 汤获   

  1. 赤峰学院 数学与计算机科学学院, 内蒙古 赤峰 024000
  • 收稿日期:2021-03-05 出版日期:2022-01-26 发布日期:2022-01-26
  • 通讯作者: 张海燕 E-mail:cfxyzhhy@163.com

Forth-Order Toeplitz Determinant for Subclasses of Star-Like Functions Subordinate to Exponential Functions

ZHANG Haiyan, TANG Huo   

  1. School of Mathematics and Computer Science, Chifeng University, Chifeng 024000, Inner Mongolia Autonomous Region, China
  • Received:2021-03-05 Online:2022-01-26 Published:2022-01-26

摘要: 设S*l表示单位圆盘D={z: |z|<1}内解析函数f(z)的全体, 且满足f(0)=f′(0)-1=0. 研究该函数类S*l的四阶Toeplitz行列式T4(2), 并给出其上界估计.

关键词: 解析函数, Toeplitz行列式,  , 指数函数, 上界估计

Abstract: LetS*l denote the class of analytic functions f(z) in the open unit disk D={z: |z|<1} normalized by f(0)=f′(0)-1=0. We investigated the forth\|order Toeplitz determinant T4(2) for this function class S*l and gave the upper bound estimate of the determinant T4(2).

Key words: analytic function, Toeplitz determinant, exponential function, upper bound

中图分类号: 

  • O174.5