On the second Hankel determinant of certain subclass of bi-univalent functions

Abstract

In this paper, we define subclass \({\mathfrak {D}}_{\Sigma }(\delta ,\beta ,\alpha ,t)\) of the function class \(\Sigma \) of bi-univalent functions defined in the open unit disk in the complex plane. Using Chebyshev polynomials, we have investigated the upper bound for the second Hankel determinant for this function class.