Work

The Sharp Bounds of Hankel Determinants for the Four-leaf-type Bounded Turning Functions

Year: 2025

Type: article

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.

Source: Journal of Applied Analysis & Computation

DOI: 10.11948/20240227

Authors: Dong Guo, Huo Tang, Xi Luo, Zong-Tao Li

Institutions: Yangzhou Polytechnic Institute, Chifeng University, Jiaying University, Guangzhou Civil Aviation College

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Anhui Provincial Department of Education

Awards: G1452753024, G8569001558