On the Third Hankel Determinant for a Subclass of Close-to-Convex Functions

Abstract

Let A denote the class of all normalized analytic function f in the unit disc U of the form f(z) = z + ∑^∞_n=2 a_nzⁿ. The object of this paper is to obtain a bound to the third Hankel determinant denoted by H₃(1) for a subclass of close-to-convex functions.

Key words and phrases. Univalent functions, starlike, convex functions, close-to-convex functions, Fekete-Szeg¨o inequality, Hankel determinant.

1991 Mathematics Subject Classification. 30C45, 30C55