Toeplitz determinants associated with Ma-Minda classes of starlike and convex functions

Abstract

A starlike function f is characterized by the quantity zf ′ (z)/f (z) lying in the right half-plane. This paper deals with sharp bounds for certain symmetric Toeplitz determinants whose entries are the coefficients of the functions f for which the quantity zf ′ (z)/f (z) takes values in certain specific subset in the right half-plane. The results obtained include several new special cases and some known results.