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

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

2007-06-21

arxiv.org/abs/0706.3192v3

Mathematics

Functional Analysis

34 pages, 7 figures

Scientific paper

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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