Hankel determinants for a singular complex weight and the first and third Painlevé transcendents

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal

2 Scopus Citations
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Detail(s)

Original languageEnglish
Pages (from-to)64-92
Journal / PublicationJournal of Approximation Theory
Volume205
Online published3 Feb 2016
Publication statusPublished - May 2016

Abstract

In this paper, we consider polynomials orthogonal with respect to a varying perturbed Laguerre weight e-n(z-logz+t/z) for t

Research Area(s)

  • Asymptotics, Hankel determinants, Painlevé I equation, Painlevé III equation, Riemann-Hilbert approach