Faber polynomial coefficients for generalized bi-subordinate functions of complex order

In this paper, we obtain the upper bounds for the n-th (n ⩾3) coefficients for gen- eralized bi-subordinate functions of complex order by using Faber polynomial expansions. The results, which are presented in this paper, would generalize those in related works of several earlier authors. Mathematics subject classification (2010): Primary 30C45, Secondary 30C80.