  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.
