Coefficient estimates for a subclass of analytic functions using Faber polynomials

Abstract

In this paper, we introduce and investigate a new subclass \(Q_{Σ}^{∗∗}\)(α, ϕ) of normalized analytic functions defined using convolution in the open unit disk U whose inverse has univalent analytic continuation to U.  Estimates of the coefficients of biunivalent functions belonging to this class are determined by using Faber polynomial techniques.