Hankel determinant and orthogonal polynomials for the Gaussian weight with a jump
نشر في Igor Krasovsky
بتاريخ 2008
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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.