A Riemann-Hilbert problem for biorthogonal polynomials

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

doi:10.1016/j.cam.2004.01.043

A Riemann-Hilbert problem for biorthogonal polynomials

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

Research output: Contribution to journal › Article › peer-review

32 Scopus citations

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.

Original language	English (US)
Pages (from-to)	313-320
Number of pages	8
Journal	Journal of Computational and Applied Mathematics
Volume	178
Issue number	1-2 SPEC. ISS.
DOIs	https://doi.org/10.1016/j.cam.2004.01.043
State	Published - Jun 1 2005
Externally published	Yes

Keywords

Biorthogonal polynomials
Multiple orthogonality
Riemann-Hilbert problem

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

Access to Document

10.1016/j.cam.2004.01.043

Cite this

@article{af531586d1db4d0889ff42838e8ddd0a,

title = "A Riemann-Hilbert problem for biorthogonal polynomials",

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.",

keywords = "Biorthogonal polynomials, Multiple orthogonality, Riemann-Hilbert problem",

author = "Kuijlaars, {A. B.J.} and McLaughlin, {K. T.R.}",

year = "2005",

month = jun,

day = "1",

doi = "10.1016/j.cam.2004.01.043",

language = "English (US)",

volume = "178",

pages = "313--320",

journal = "Journal of Computational and Applied Mathematics",

issn = "0377-0427",

publisher = "Elsevier",

number = "1-2 SPEC. ISS.",

}

TY - JOUR

T1 - A Riemann-Hilbert problem for biorthogonal polynomials

AU - Kuijlaars, A. B.J.

AU - McLaughlin, K. T.R.

PY - 2005/6/1

Y1 - 2005/6/1

N2 - 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.

AB - 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.

KW - Biorthogonal polynomials

KW - Multiple orthogonality

KW - Riemann-Hilbert problem

UR - http://www.scopus.com/inward/record.url?scp=14844363180&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=14844363180&partnerID=8YFLogxK

U2 - 10.1016/j.cam.2004.01.043

DO - 10.1016/j.cam.2004.01.043

M3 - Article

AN - SCOPUS:14844363180

SN - 0377-0427

VL - 178

SP - 313

EP - 320

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 1-2 SPEC. ISS.

ER -

A Riemann-Hilbert problem for biorthogonal polynomials

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this