Second Hankel determinant for certain subclasses of bi-univalent functions involving Chebyshev polynomials

Abstract

In this paper our purpose is to find the upper bound estimate for the second Hankel determinant $|a_{2}a_{4}-a_{3}^{2}|$ for functions defined by convolution belonging to the class $\mathcal{N}_{\sigma}^{\mu,\delta}(\lambda,t)$ by using Chebyshev polynomials.