A Riemann–Hilbert problem for biorthogonal polynomials

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摘要

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.

论文关键词：Biorthogonal polynomials,Riemann–Hilbert problem,Multiple orthogonality

论文评审过程：Received 7 October 2003, Revised 20 January 2004, Available online 14 October 2004.

论文官网地址：https://doi.org/10.1016/j.cam.2004.01.043