Certain class of bi-univalent functions defined by quantum calculus operator associated with Faber polynomial

Abstract

In this paper, we introduce a new class of bi-univalent functions defined in the open unit disc and connected with a q-convolution. We find estimates for the general Taylor-Maclaurin coefficients of the functions in this class by using Faber polynomial expansions, and we obtain an estimation for Fekete-Szegö problem for this class.

Keywords

• faber polynomial
• bi-univalent functions
• convolution
• q-derivative operator