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Riemann-Hilbert problem associated with Angelesco systems

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URI: http://hdl.handle.net/10016/6377
ISSN: 0377-0427
DOI: 10.1016/j.cam.2009.02.032
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riemann_fidalgo_jcam_2009_ps.pdf (203.12 KB)
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2009-12-01
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Elsevier
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Abstract
Angelesco systems of measures with Jacobi-type weights are considered. For such systems, strong asymptotics for the related multiple orthogonal polynomials are found as well as the Szegö-type functions. In the procedure, an approach from the Riemann–Hilbert problem plays a fundamental role.
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9 pages, no figures.-- MSC1991 codes: 41A20, 41A25, 41A28.-- Issue title: "9th OPSFA Conference" (9th Conference on Orthogonal Polynomials, Special Functions and Applications, Luminy, Marseille, France, 2-6 July 2007).
Zbl#: Zbl pre05624871
Keywords
Approximation by rational function, Rate of convergence, Simultaneous approximation
Bibliographic citation
Journal of Computational and Applied Mathematics, 2009, vol. 233, n. 3, p. 643-651
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