Coefficient bounds for subclasses of m-fold symmetric bi-univalent functions

Authors : Sevtap Sümer Eker

Pages : 641-646

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Publication Date : 9999-12-31

Article Type : Makaleler

Abstract :In this study, we introduce and investigate two new subclasses of the bi-univalent functions; both $f(z)$ and $f^{-1}(z)$ are m-fold symmetric analytic functions. Among other results, upper bounds for the coefficients $\left|a_{m+1}\right|$ and $\left|a_{2m+1}\right|$ are found in this investigation.
Keywords : Univalent functions, bi-univalent functions, $m$-fold symmetric bi-univalent functions