Coefficient Estimates for Certain Subclasses of m-Fold Symmetric Bi-univalent Functions Associated with Pseudo-Starlike Functions

Abstract

In the present investigation, we introduce the subclasses ΛΣ (η,h, φ) and ΛΣ (η,h, δ) of m-fold symmetric bi-univalent function class Σm, which are associated with the pseudo-starlike functions and defined in the open unit disk U. Moreover, we obtain estimates on the initial coefficients |bm+1| and |b2m+1| for the functions belong to these subclasses and identified correlations with some of the earlier known classes.