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On two models of orthogonal polynomials and their applications

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URI: http://hdl.handle.net/10016/5993
ISSN: 1575-9822
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two_models_marcellan_bsema_2003.pdf (257.86 KB)
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2003-03
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Sociedad Española de Matemática Aplicada (SEMA)
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Abstract
This contribution deals with some models of orthogonal polynomials as well as their applications in several areas of mathematics. Some new trends in the theory of orthogonal polynomials are summarized. In particular, we emphasize on two kinds of orthogonality, i.e., the standard orthogonality in the unit circle and a non standard one, which is called multi-orthogonality. Both have attracted the interest of researchers during the past ten years.
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37 pages, no figures.-- MSC2000 codes: 33C45, 42C05.
Keywords
Linear functionals, Orthogonal polynomials, Stieltjes and Markov functions, Rational approximation, Hermite-Padé approximation, Multiple orthogonal polynomials, Trigonometric moment problem, Quadratures on the unit circle, Linear prediction, Electrostatics of zeros
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Boletin Sociedad Española de Matemática Aplicada, 2003, n. 23, p. 35-71
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DM - GAMA - Artículos de Revistas