Third Hankel determinant for a class of bi-univalent functions defined in balloon-shaped domain

Key Points

• Third Hankel determinant showcases properties of bi-univalent functions, enhancing understanding in complex analysis.
• For specific bi-univalent functions, the result provides clear implications regarding their analytic properties.
• Assessment using properties of functions defined in balloon-shaped domains reveals deep relationships in the structure.
• Findings suggest the need for further exploration of Hankel determinants in diverse function classes, enhancing mathematical theory.