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

Abstract

In this paper our purpose is to find 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.