Bounds for the second Hankel determinant of certain generalized class of analytic functions

Abstract

Denote S*(α, β, δ) as the subclass of analytic functions f defined by f(z)=z+∑n=2∞anzn that satisfied Reeiδ{ zf′(z)+αz2f″(z)f(z) }>β in open unit disk, z∈D={z:|z| 0. In this paper, we obtain sharp upper bound for the second Hankel determinant, |a2a4 − a32| for functions belonging to this subclass of functions.