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Asymptotics of Hankel Determinants With a One-Cut Regular Potential and Fisher–Hartwig Singularities

Asymptotics of Hankel Determinants With a One-Cut Regular Potential and Fisher–Hartwig Singularities

Abstract We obtain asymptotics of large Hankel determinants whose weight depends on a one-cut regular potential and any number of Fisher–Hartwig singularities. This generalises two results: (1) a result of Berestycki, Webb, and Wong [5] for root-type singularities and (2) a result of Its and Krasovsky [37] for a Gaussian …