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

Abstract

A starlike function $f$ is characterized by the quantity $z{f}^{\prime }(z)/f(z)$ 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 $z{f}^{\prime }(z)/f(z)$ takes values in certain specific subset in the right half-plane. The results obtained include several new special cases and some known results.

References in corpus (2)

• Radii of Starlikeness Associated with the Lemniscate of Bernoulli and the Left-Half Plane
• On the radius constants for classes of analytic functions