A Riemann-Hilbert problem for biorthogonal polynomials

A. B.J. Kuijlaars, K. T.R. McLaughlin

Research output: Contribution to journalArticlepeer-review

36 Scopus citations


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
Issue number1-2 SPEC. ISS.
StatePublished - Jun 1 2005
Externally publishedYes


  • Biorthogonal polynomials
  • Multiple orthogonality
  • Riemann-Hilbert problem

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics


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