Riemann–Hilbert problem associated with Angelesco systems

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 Szegő-type functions. In the procedure, an approach from the Riemann–Hilbert problem plays a fundamental role.

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Bibliographic Details
Published inJournal of computational and applied mathematics Vol. 233; no. 3; pp. 643 - 651
Main Authors Branquinho, A., Fidalgo, U., Foulquié Moreno, A.
Format Journal Article Conference Proceeding
LanguageEnglish
Published Kidlington Elsevier B.V 01.12.2009
Elsevier
Subjects
Acceleration of convergence
Approximation by rational function
Exact sciences and technology
Fourier analysis
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Partial differential equations
Rate of convergence
Sciences and techniques of general use
Simultaneous approximation
Special functions
Approximation by rational function
Simultaneous approximation
41A25
Rate of convergence
41A20
41A28
Rational approximation
Riemann problem
Convergence acceleration
Orthogonal polynomial
Convergence
Numerical analysis
Applied mathematics
Convergence rate
Rational function
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Summary: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 Szegő-type functions. In the procedure, an approach from the Riemann–Hilbert problem plays a fundamental role.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2009.02.032