Second Hankel determinant with Fekete-Szegö parameter for some subclasses of bi-univalent functions using a symmetric q-derivative operator

Abstract

In this paper we have discussed about second Hankel determinant of Ma-Minda starlike bi-univalent and Ma-Minda convex bi-univalent functions in the open unit disc $\mathrm{\Delta }$ subordinate to a starlike univalent function whose range is symmetric with respect to the real axis involving the Fekete-Szegö parameter $\mathrm{\lambda }$.