Coefficient Bounds for Certain Subclasses of m-fold Symmetric Bi-univalent Functions Based on the Q-derivative Operator

Abstract

In the present study, we introduce two new subclasses of bi-univalent functions based on the q-derivative operator in which both $f$ and $f^{-1}$ are m-fold symmetric analytic functions in the open unit disk. Among other results belonging to these subclasses upper coefficients bounds $|a_{m+1}|$ and $|a_{2m+1}|$ are obtained in this study. Certain special cases are also indicated.