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Asymptotic Behavior of Orthogonal Polynomials Corresponding to a Measure with Infinite Discrete Part off a Curve

โœ Scribed by Rachid Benzine

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
280 KB
Volume
89
Category
Article
ISSN
0021-9045

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โœฆ Synopsis

We determine the asymptotic behavior of orthogonal polynomials associated to a measure :=;+#, where ; is a measure concentrated on a rectifiable Jordan curve and # is an infinite discrete measure.

๐Ÿ“œ SIMILAR VOLUMES

Asymptotic Behavior of Orthogonal Polyno
Asymptotic Behavior of Orthogonal Polynomials Corresponding to Measure with Discrete Part Off the Unit Circle
โœ X. Li; K. Pan ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 473 KB

For a positive measure \(\mu\) on the unit circle \((\Gamma)\) in the complex plane, \(m\) points \(z_{j}\) off \(\Gamma\) and \(m\) positive numbers \(A_{j}, j=1,2, \ldots, m\), we investigate the asymptotic behavior of orthonormal polynomials \(\Phi_{n}(z)\) corresponding to \(d_{\mu} / 2 \pi+\) \