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

A. Its
•
I. Krasovsky
2007
  • journal article

Periodico
COMMUNICATIONS IN MATHEMATICAL PHYSICS
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.
WOS
WOS:000256557400013
Archivio
https://hdl.handle.net/20.500.11767/139230
http://arxiv.org/abs/0706.3192v3
Diritti
closed access
Soggetti
  • Mathematics - Functio...

  • Mathematics - Functio...

  • Mathematical Physics

  • Mathematics - Mathema...

  • Settore MAT/07 - Fisi...

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