THE SHARP BOUNDS OF HANKEL DETERMINANTS FOR THE FOUR-LEAF-TYPE BOUNDED TURNING FUNCTIONS

Dong Guo; Huo Tang; Xi Luo; Zong-Tao Li

doi:10.11948/20240227

2025 Volume 15 Issue 2

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Dong Guo, Huo Tang, Xi Luo, Zong-Tao Li. THE SHARP BOUNDS OF HANKEL DETERMINANTS FOR THE FOUR-LEAF-TYPE BOUNDED TURNING FUNCTIONS[J]. Journal of Applied Analysis & Computation, 2025, 15(2): 958-972. doi: 10.11948/20240227

Citation:

Dong Guo, Huo Tang, Xi Luo, Zong-Tao Li. THE SHARP BOUNDS OF HANKEL DETERMINANTS FOR THE FOUR-LEAF-TYPE BOUNDED TURNING FUNCTIONS[J]. Journal of Applied Analysis & Computation, 2025, 15(2): 958-972. doi: 10.11948/20240227

THE SHARP BOUNDS OF HANKEL DETERMINANTS FOR THE FOUR-LEAF-TYPE BOUNDED TURNING FUNCTIONS

1.
School of Mathematical Sciences, Yangzhou Polytechnic College, Jiangsu 225009, China
2.
College of Mathematics and Computer Science, Chifeng University, Inner Mongolia 024000, China
3.
School of Mathematics, Jiaying University, Guangdong 514015, China
4.
School of Public Basic Education, Guangzhou Civil Aviation College, Guangdong 510403, China

Author Bio: Email: gd791217@163.com(D. Guo); Email: thth2009@163.com(H. Tang); Email: 93030910@qq.com(X. Luo)
Corresponding author: Email: lizt2046@163.com(Z.-T. Li)
Fund Project: The authors were supported by the Natural Science Foundation of Anhui Provincial Department of Education (No. KJ2020A0993, KJ2020ZD74) and the high-level talent research start-up project (No. DC2300000286)

Abstract

Abstract

In the paper, a family of bounded turning functions involving a four-leaf-type domain is studied in the unit disk. The goal of the study is to explore the bounds of second and the third Hankel determinant for functions in the class. All of obtained bounds have been sharp.
- Hankel determinant /
- bounded turning functions /
- four-leaf-type
MSC: 30C45, 30C50

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References

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