Riemann–Hilbert problem associated with Angelesco systems

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Dec 2009 Portugal English Publisher:Elsevier BVJournal:Journal of Computational and Applied Mathematics, volume 233, pages 643-651 (issn: 0377-0427,

Copyright policy )Funded by:FCT | SIMOULTANEOUS RATIONAL AP...

Authors: Amílcar José Pinto Lopes Branquinho; Ulises Fidalgo; Ana Pilar Foulquié Moreno;

doi: 10.1016/j.cam.2009.02.032

handle: 10016/6377 , 10316/11290 , 10773/7741

Riemann–Hilbert problem associated with Angelesco systems

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Abstract

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 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. The first author’s research was supported by CMUC/FCT. The second author’s research was supported by grants MTM 2006-13000-C03-02 from Ministerio de Ciencia y Tecnología and CCG 06-UC3M/ESP-0690 of Universidad Carlos III de Madrid-Comunidad de Madrid and by grant SFRH/BPD/ 31724/2006 from Fundação para a Ciência e a Tecnologia. The third author’s research was supported by UI Matemática e Aplicações from University of Aveiro. Publicado

Country

Portugal

Related Organizations

University of Coimbra
Portugal
Carlos III University Madrid (UC3M)
Spain
University of Aveiro (UAVR)
Portugal
University of Aveiro
Portugal
Carlos III University of Madrid
Spain

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Keywords

Riemann-Hilbert problem, Simultaneous approximation Simultaneous approximation Simultaneous approximation, Approximation by rational functions, Computational Mathematics, Matemáticas, Applied Mathematics, Simultaneous approximation, Rate of convergence, degree of approximation, Rate of convergence, Approximation by rational function, multiple orthogonal polynomials

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