Estimates of Coefficient for Certain Subclasses of -Fold Symmetric Bi- Univalent Functions

Abstract

In the present paper, the authors introduce and investigate two new subclasses,namely and of the class 𝜅-fold biunivalent functions in the open unit disk . The initial coefficients for all of the functions that belong to them are determined, as well as the coefficients for functions that belong to a field determining these coefficients are also determined which require a complicated process. The bounds for the initial coefficients and that contained among the remaining results in our analysis are obtained. In addition, some specific special improver results for the related classes are provided.