A Riemann-Hilbert problem for biorthogonal polynomials

A. B J Kuijlaars, Kenneth D T Mclaughlin

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

We characterize the biorthogonal polynomials that appear in the theory of coupled random matrices via a Riemann-Hilbert problem. Our Riemann-Hilbert problem is different from the ones that were proposed recently by Ercolani and McLaughlin, Kapaev, and Bertola et al. We believe that our formulation may be tractable to asymptotic analysis.

Original languageEnglish (US)
Pages (from-to)313-320
Number of pages8
JournalJournal of Computational and Applied Mathematics
Volume178
Issue number1-2 SPEC. ISS.
DOIs
StatePublished - Jun 1 2005

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Biorthogonal Polynomials
Riemann-Hilbert Problem
Asymptotic analysis
Polynomials
Random Matrices
Asymptotic Analysis
Formulation

Keywords

  • Biorthogonal polynomials
  • Multiple orthogonality
  • Riemann-Hilbert problem

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics
  • Numerical Analysis

Cite this

A Riemann-Hilbert problem for biorthogonal polynomials. / Kuijlaars, A. B J; Mclaughlin, Kenneth D T.

In: Journal of Computational and Applied Mathematics, Vol. 178, No. 1-2 SPEC. ISS., 01.06.2005, p. 313-320.

Research output: Contribution to journalArticle

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