Upper bounds of Toeplitz determinants for a subclass of alpha-close-to-convex functions

Abstract

Let A be the class of analytic functions in the unit disc U which are of the form (Formula Presented). For 0 ≤ α < 1, let Cα, be the class of all functions f ∈ A satisfying the condition Re{f′ (z) + αzf′′ (z)} > 0. We consider the Toeplitz matrices whose elements are the coefficients an of the function f in the class Cα. In this paper we obtain upper bounds for the Toeplitz determinants. © 2022, SINUS Association. All rights reserved.