New Results on Third Hankel Determinant for Certain Subclass of Bi-Univalent Functions

Abstract

This paper introduces new discoveries on the third Hankel determinant for the subclass C(β, δ) of bi-univalent functions in the open unit disk area D. The objective of this course is to ascertain the boundaries of the Hankel determinant of order 3, represented as H_3 (1). Furthermore, these calculations determine new boundaries for the third Hankel determinant inside the C(β, δ) family.