A Riemann–Hilbert problem for skew-orthogonal polynomials

We find a local ( d + 1 ) × ( d + 1 ) Riemann–Hilbert problem characterizing the skew-orthogonal polynomials associated to the partition function of orthogonal ensembles of random matrices with a potential function of degree d. Our Riemann–Hilbert problem is similar to a local d × d Riemann–Hilbert...

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Bibliographic Details
Published in:	Journal of computational and applied mathematics Vol. 215; no. 1; pp. 230 - 241
Main Author:	Pierce, Virgil U.
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier B.V 15.05.2008 Elsevier
Subjects:	Exact sciences and technology Fourier analysis Mathematical analysis Mathematics Numerical analysis Numerical analysis. Scientific computation Partial differential equations Riemann–Hilbert problems Sciences and techniques of general use Skew-orthogonal polynomials Special functions Skew-orthogonal polynomials Riemann–Hilbert problems Polynomial function Partition Numerical analysis Asymptotic expansion Riemann problem Riemann-Hilbert problems Applied mathematics Asymptotic approximation Orthogonal polynomial
ISSN:	0377-0427, 1879-1778
Online Access:	Get full text
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