THE FEKETE-SZEGO PROBLEM FOR A GENERAL ¨CLASS OF BI-UNIVALENT FUNCTIONS SATISFYINGSUBORDINATE CONDITIONS

In this work, we obtain the Fekete-Szeg¨o inequalitiesfor the class PΣ (λ; ϕ) of bi-univalent functions. The results presented in this paper improve the recent work of Prema and Keerthi[11].

Keywords:

Bi-univalent functions , Starlike functions with respect tosymmetric points , Convex functions with respect to symmetric points , Subordination , Fekete-Szeg¨o inequality