Hankel, Toeplitz, and Hermitian-Toeplitz Determinants for Certain Close-to-convex Functions

Abstract

Let f be analytic in D= { z? C: | z| < 1 } , and be given by f(z)=z+?n=2?anzn. We give sharp bounds for the second Hankel determinant, some Toeplitz, and some Hermitian-Toeplitz determinants of functions in the class of Ozaki close-to-convex functions, together with a sharp bound for the Zalcman functional J2 , 3(f). � 2021, The Author(s).