A Riemann-Hilbert problem for biorthogonal polynomials
Complex Variables
2010-07-29 v1 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.math/0310204,
title = {A Riemann-Hilbert problem for biorthogonal polynomials},
author = {A. B. J. Kuijlaars and K. T-R McLaughlin},
journal= {arXiv preprint arXiv:math/0310204},
year = {2010}
}
Comments
10 pages