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

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.