Asymptotic formulas for determinants of a special class of Toeplitz + Hankel matrices

Estelle L. Basor, Torsten Ehrhardt

We compute the asymptotics of the determinants of certain $n\times n$ Toeplitz + Hankel matrices $T_n(a)+H_n(b)$ as $n\to \infty$ with symbols of Fisher-Hartwig type. More specifica…