| 郭栋,汤获,罗茜,李宗涛.与心形域有关的有界旋转函数四阶Hankel行列式的改进估计[J].数学研究及应用,2025,45(1):39~55 |
| 与心形域有关的有界旋转函数四阶Hankel行列式的改进估计 |
| Improved Bound of the Fourth Hankel Determinant for a Class of Analytic Functions with Bounded Turnings Involving Cardioid Domain |
| 投稿时间：2024-01-01 修订日期：2024-03-19 |
| DOI：10.3770/j.issn:2095-2651.2025.01.005 |
| 中文关键词: 解析函数 星像函数 凸像函数 施瓦兹函数 心形域 Hankel行列式 |
| 英文关键词:analytic functions starlike functions convex functions Schwarz function cardioid domain Hankel determinant |
| 基金项目:安徽省高校自然科学基金(Grant Nos.KJ2020A0993; KJ2020ZD74), 扬州市职业大学高水平人才项目(Grant No.DC2300000286), 广州民航职业技术学院项目(Grant Nos.22X0418,24X4412). |
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| 中文摘要: |
| 本文研究了一类单位圆盘内与心形域有关的有界旋转函数的四阶Hankel行列式,得到了$|a_5|,|a_6|,|a_7|$ 及四阶Hankel 行列式的上界,所得结果改进了Srivastava所得的结论. |
| 英文摘要: |
| In the paper, a class of functions with bounded turnings involving cardioid domain, are studied in the region of the unit disc. The bounds of $|a_5|, |a_6|, |a_7|$ and the fourth Hankel determinant are obtained, which are more accurate than those obtained by Srivastava. |
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