Hankel determinant and orthogonal polynomials for the Gaussian weight with a jump
Functional Analysis
2008-05-11 v3 Mathematical Physics
math.MP
Abstract
We obtain asymptotics in n for the n-dimensional Hankel determinant whose symbol is the Gaussian multiplied by a step-like function. We use Riemann-Hilbert analysis of the related system of orthogonal polynomials to obtain our results.
Keywords
Cite
@article{arxiv.0706.3192,
title = {Hankel determinant and orthogonal polynomials for the Gaussian weight with a jump},
author = {A. Its and I. Krasovsky},
journal= {arXiv preprint arXiv:0706.3192},
year = {2008}
}
Comments
34 pages, 7 figures