Asymptotics for Hankel Determinants Associated to a Hermite Weight with a Varying Discontinuity

We study n×n Hankel determinants constructed with moments of a Hermite weight with a Fisher-Hartwig singularity on the real line. We consider the case when the singularity is in the bulk and is both of root-type and jump-type. We obtain large n asymptotics for these Hankel determinants, and we obser...

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Bibliographic Details
Date:2018
Main Authors: Charlier, C., Deaño, A.
Format: Article
Language:English
Published: Інститут математики НАН України 2018
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/209446
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Asymptotics for Hankel Determinants Associated to a Hermite Weight with a Varying Discontinuity / C. Charlier, A. Deaño // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 41 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine