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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/160602We 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.34 pages, 7 figuresFunctional AnalysisMathematical PhysicsHankel determinant and orthogonal polynomials for the Gaussian weight with a jumptext