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

Abstract

In the present work, we propose to investigate the Fekete-Szegö inequalities certain classes of analytic and bi-univalent functions defined by subordination. The results in the bounds of the third coefficient which improve many known results concerning different classes of bi-univalent functions. Some interesting applications of the results presented here are also discussed.Keywords Bi-univalent functions · Ma-Minda starlike and Ma-Minda convex functions · Bi-starlike of Ma-Minda type and bi-convex of Ma-Minda type Mathematics Subject Classification 30C45

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