Bounds on the Initial Coefficients for New Subclasses of m-Fold Symmetric Bi-univalent Functions

The aim from this study is to propose and explore two new classes and of made up of bi-univalent functions that are m-fold symmetric and analytic which are defined within the unit disk that is open. For each functions that correspond to these subclasses we derive upper bounds for the coefficients and . Many of the newly discovered and well-known outcomes are demonstrated to be special cases of our findings.