Asymptotic of the terms of the Gegenbauer polynomial on the unit circle and applications to the inverse of Toeplitz matrices

Philippe Rambour

The first part of this paper is devoted to the study of the orthogonal polynomial on the circle, with respect of a weight of type $f_{\alpha }(\theta )=(2\cos \theta -2\cos {\theta }_0{)}^{2\alpha }{c}_1$ with $θ_0…