Recent trends on analytic properties of matrix orthonormal polynomials

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URI: http://hdl.handle.net/10481/32464
ISSN: 1068-9613
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Author
Marcellán Español, Francisco; Yakhlef, H. O.
Editorial
Kent State University. Institute of Computational Mathematics
Materia
Matrix orthogonal polynomials
 
Zeros
 
Asymptotic behavior
 
Date
2002
Referencia bibliográfica
Marcellán, F.; Yakhlef, H.O. Recent trends on analytic properties of matrix orthonormal polynomials. Electronic Transactions on Numerical Analysis (ETNA), 14: 127-141 (2002). [http://hdl.handle.net/10481/32464]
Sponsorship
The first author was supported by Ministerio de Ciencia y Tecnología (Dirección General de Investigación) of Spain under grant BHA2000-0206-C04-01
Abstract
In this paper we give an overview of recent results on analytic properties of matrix orthonormal polynomials. We focus our attention on the distribution of their zeros as well as on the asymptotic behavior of such polynomials under some restrictions about the measure of orthogonality.
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