Abstract
In this paper we obtain the Fekete-Szegö inequalities for the classes $\mathcal{H}_\sigma(\varphi)$, $\mathcal{ST}_\sigma(\alpha, \varphi)$ and $\mathcal{M}_\sigma(\alpha, \varphi)$ of bi-univalent functions defined in terms of subordination. These inequalities result in the bounds of the third coefficient which improve many known results concerning different classes of bi-univalent functions.
Citation
Paweł Zaprawa. "On the Fekete-Szegö problem for classes of bi-univalent functions." Bull. Belg. Math. Soc. Simon Stevin 21 (1) 169 - 178, february 2014. https://doi.org/10.36045/bbms/1394544302
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