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

Abstract

"Let A be the class of P analytic functions in the unit disc U which are of the form $f(z)=z+\sum_{n=2}^{\infty}a_nz^n$. For 0 ≤ α < 1, let C_α, 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 C_α. In this paper we obtain upper bounds for the Toeplitz determinants. "