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Asymptotics of orthogonal polynomials inside the unit circle and Szegö-Padé approximants

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URI: http://hdl.handle.net/10016/6335
ISSN: 0377-0427
DOI: 10.1016/S0377-0427(00)00678-6
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asymptotics_lagomasino_jcam_2001_ps.pdf (225.15 KB)
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2001-08
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Elsevier
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Abstract
We study the asymptotic behavior of orthogonal polynomials inside the unit circle for a subclass of measures that satisfy Szegö's condition. We give a connection between such behavior and a Montessus de Ballore-type theorem for Szegö–Padé rational approximants of the corresponding Szegö function.
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11 pages, no figures.-- MSC2000 codes: 42C05, 41A21.
MR#: MR1858277 (2002h:42043)
Zbl#: Zbl 1009.42016
Keywords
Orthogonal polynomials, Padé approximants, Reflection coefficients
Bibliographic citation
Journal of Computational and Applied Mathematics, 2001, vol. 133, n. 1-2, p. 171-181
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