Bounds on the second Hankel determinant and Toeplitz determinants of logarithmic coefficients for a class of analytic functions

Abstract

In this paper, we establish sharp initial bounds for the second Hankel determinant and the second Toeplitz determinant of logarithmic coefficients for the class $\mathcal{R}_{car}$, which consists of functions $f$ that satisfy a specific subordination relationship with a function in the open unit disk $\mathbb{D}$.