A Riemann-Hilbert problem for biorthogonal polynomials

Details A Riemann-Hilbert problem for biorthogonal polynomials A Riemann-Hilbert problem for biorthogonal polynomials

2003-10-14

arxiv.org/abs/math/0310204v1

Journal of Computational and Applied Mathematics 178 (2005), 313-320

Mathematics

Complex Variables

10 pages

Scientific paper

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.

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