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Turkish Journal of Mathematics

DOI

10.3906/mat-1503-58

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

First Page

641

Last Page

646

Included in

Mathematics Commons

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