Hankel determinant and orthogonal polynomials for the Gaussian weight with a jump

2007/06/21 by Its, A., Krasovsky, I. · 3 citations
#FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.0706.3192

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.

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• A Riemann-Hilbert Approach to Asymptotic Analysis of Toeplitz+Hankel Determinants II

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