Coefficient bounds of bi-univalent functions using faber polynomial

Abstract

In this research article, we study a bi-univalent subclass Σ related with Faber polynomial and investigate the coefficient estimate |an| for functions in the considered subclass with a gap series condition. Also, we obtain the initial two coefficient estimates |a2|, |a3| and find the Fekete–Szegö functional |a3−a22| for the considered subclass. New results which are further examined are also pointed out in this article.