Fekete–Szegö problem for certain classes of Ma-Minda bi-univalent functions

摘要

In the present work, we propose to investigate the Fekete-Szeg"oinequalities certain classes of analytic and bi-univalent functions defined bysubordination. The results in the bounds of the third coefficient which improvemany known results concerning different classes of bi-univalent functions. Someinteresting applications of the results presented here are also discussed.