Coefficient estimates for certain subclass of bi-univalent functions associated with the class Pm(b, β)

Abstract

In this paper, we introduced certain new subclass of the function class Σ of analytic and bi-univalent function in the open unit disk 𝕌, which is associated with the class Pm(b, β). We find estimates on the first two Taylor-MacLaurin coefficients |a2| and |a3| for functions belonging to this subclass.