Coefficient estimates for general subclasses of $m$-fold symmetric analytic bi-univalent functions

Authors: SERAP BULUT

Abstract: In this work, we introduce and investigate two new subclasses of the bi-univalent functions in which both $f$ and $f^{-1}$ are $ m$-fold symmetric analytic functions. For functions in each of the subclasses introduced in this paper, we obtain the coefficient bounds for $ \left\vert a_{m+1}\right\vert $ and $\left\vert a_{2m+1}\right\vert .$

Keywords: Analytic functions, univalent functions, bi-univalent functions, $m$-fold symmetric bi-univalent functions

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