Fekete-Szegö Problem for Univalent Functions and Quasiconformal Extension
Abstract
Via Löwner theories, by Becker's and Betker's conditions on Herglotz function which give sufficient conditions for univalent functions admitting $k$-quasiconformal extension to the complex plane, we define two subclasses denoted by $S_{k}^{B}$ and $S_{k}^{BT}$. Then we solve the Fekete-Szegö problem on these two subclasses.
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