Coefficients assessment for certain subclasses of bi-univalent functions related with quasi-subordination

Abstract

We investigate specific new subclasses of the function class Sigma of bi-univalent function defined in the open unit disc, which is connected with quasi-subordination. We find estimates on the Taylor-Maclaurin coefficients vertical bar a(2)vertical bar and vertical bar a(3)vertical bar for functions in these subclasses. Already pointed out are some documented and new implications of those findings.