In this work, we consider the function Psi( z ) = ln (1 + z )=1+ Sigma(infinity) (n =1) G( n) z( n) whose coefficients G n are the Gregory coefficients related to Stirling numbers of the first kind and introduce a new subclass g( Sigma)( lambda,mu) (Psi) of analytic bi-univalent functions subordinate to the function Psi. For functions belong to this class, we investigate the estimates for the general Taylor -Maclaurin coefficients by using the Faber polynomial expansions. In certain cases, our estimates improve some of those existing coefficient bounds.
Serap Bulut (Sun,) studied this question.