| 与正弦函数有关的星形函数逆的Toeplitz行列式 |
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| 引用本文： | 郭栋,李宗涛,汤获,敖恩.与正弦函数有关的星形函数逆的Toeplitz行列式[J].数学研究及应用,2021,41(2):141-149. |
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| 作者姓名： | 郭栋 李宗涛 汤获 敖恩 |
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| 作者单位： | 滁州职业技术学院基础部, 安徽 滁州 239000;广州民航职业技术学院基础部, 广东 广州 510403;赤峰学院数学与统计学院, 内蒙古 赤峰 024000 |
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| 基金项目： | 国家自然科学基金(Grant No.11561001)；内蒙古自然科学基金(Grant No.2014MS0101);安徽省高校自然科学基金(Grant No.KJ2018A0833); 内蒙古自治区高校科学研究项目(Grant No.NJZY19211),安徽省高等学校省级质量工程项目(Grant No.2018mooc608),国家自然科学基金校级重点培育项目(Grant Nos.18X0428; 18X0433). |
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| 摘 要： | Let S_s*be the class of normalized functions f defined in the open unit■such that the quantity zf’(z)/f(z)lies in an eight-shaped region in the right-half plane and satisfies the condition■.In this paper,we aim to investigate Toeplitz determinants for the inverse of this function classes S_s*associated with sine function.
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| 关 键 词： | inverse of starlike function Toeplitz determinant sine function upper bound |
| 收稿时间： | 2020/2/13 0:00:00 |
| 修稿时间： | 2020/8/1 0:00:00 |
Toeplitz Determinants for the Inverse of Starlike Functions Connected with the Sine Function |
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| Dong GUO,Zongtao LI,Huo TANG,En AO.Toeplitz Determinants for the Inverse of Starlike Functions Connected with the Sine Function[J].Journal of Mathematical Research with Applications,2021,41(2):141-149. |
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| Authors: | Dong GUO Zongtao LI Huo TANG En AO |
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| Institution: | Foundation Department, Chuzhou Vocational and Technical College, Anhui 239000, P. R. China;Foundation Department, Guangzhou Civil Aviation College, Guangdong 510403, P. R. China;School of Mathematics and Statistics, Chifeng University, Inner Mongolia 024000, P. R. China |
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| Abstract: | Let $\mathcal S_{s}^{*}$ be the class of normalized functions $f$ defined in the open unit $\mathbb U=\{z\in \mathbb C:|z|<1\}$ such that the quantity $\frac{zf^{\prime}(z)}{f(z)}$ lies in an eight-shaped region in the right-half plane and satisfies the condition $\frac{zf^{\prime}(z)}{f(z)}\prec 1+\sin z~(z\in\mathbb U)$. In this paper, we aim to investigate Toeplitz determinants for the inverse of this function classes $\mathcal S_{s}^{*}$ associated with sine function. |
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| Keywords: | inverse of starlike function Toeplitz determinant sine function upper bound |
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