Large-degree asymptotics of rational Painleve-IV solutions by the isomonodromy method

The Painleve-IV equation has two families of rational solutions generated respectively by the generalized Hermite polynomials and the generalized Okamoto polynomials. We apply the isomonodromy method to represent all of these rational solutions by means of two related Riemann-Hilbert problems, each...

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Veröffentlicht in:	arXiv.org 2020-08
Hauptverfasser:	Buckingham, Robert J, Miller, Peter D
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Approximation Asymptotic properties Elliptic functions Hermite polynomials Parameters Poles
Online-Zugang:	Volltext
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