Initial coefficient bounds and second Hankel determinant for a certain class of bi-univalent functions using Chebyshev polynomials

Abstract

In this work, we define a new subclass C_Σ(β, γ, n, t) of analytic and bi-univalent functions in the open unit disk. Thereafter, we investigated the coefficient bounds and the second Hankel determinant by means of Chebyshev polynomials.