A Riemann-Hilbert problem for biorthogonal polynomials

被引：37
|
作者：
Kuijlaars, ABJ
McLaughlin, KTR
机构：
[1] Katholieke Univ Leuven, Dept Math, B-3001 Louvain, Belgium
[2] Univ Arizona, Dept Math, Tucson, AZ 85721 USA
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2005年 / 178卷 / 1-2期
基金：
美国国家科学基金会;
关键词：
biorthogonal polynomials; Riemann-Hilbert problem; multiple orthogonality;
D O I：
10.1016/j.cam.2004.01.043
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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. (c) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码：313 / 320
页数：8
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