Asymptotic behavior of orthogonal polynomials corresponding to a measure with infinite discrete part off an arc

We study the asymptotic behavior of orthogonal polynomials. The measure is concentrated on a complex rectifiable arc and has an infinity of masses in the region exterior to the arc.

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Bibliographic Details
Main Authors: R. Khaldi, R. Benzine
Format: Article
Language:English
Published: Wiley 2001-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171201006007
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author R. Khaldi
R. Benzine
author_facet R. Khaldi
R. Benzine
author_sort R. Khaldi
collection DOAJ
description We study the asymptotic behavior of orthogonal polynomials. The measure is concentrated on a complex rectifiable arc and has an infinity of masses in the region exterior to the arc.
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2001-01-01
publisher Wiley
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-a39dc59dbc684657b93ff013a599be5f2025-02-03T05:53:46ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0126844945510.1155/S0161171201006007Asymptotic behavior of orthogonal polynomials corresponding to a measure with infinite discrete part off an arcR. Khaldi0R. Benzine1Department of Mathematics, University of Annaba, B.P. 12 Annaba, AlgeriaDepartment of Mathematics, University of Annaba, B.P. 12 Annaba, AlgeriaWe study the asymptotic behavior of orthogonal polynomials. The measure is concentrated on a complex rectifiable arc and has an infinity of masses in the region exterior to the arc.http://dx.doi.org/10.1155/S0161171201006007
spellingShingle R. Khaldi
R. Benzine
Asymptotic behavior of orthogonal polynomials corresponding to a measure with infinite discrete part off an arc
International Journal of Mathematics and Mathematical Sciences
title Asymptotic behavior of orthogonal polynomials corresponding to a measure with infinite discrete part off an arc
title_full Asymptotic behavior of orthogonal polynomials corresponding to a measure with infinite discrete part off an arc
title_fullStr Asymptotic behavior of orthogonal polynomials corresponding to a measure with infinite discrete part off an arc
title_full_unstemmed Asymptotic behavior of orthogonal polynomials corresponding to a measure with infinite discrete part off an arc
title_short Asymptotic behavior of orthogonal polynomials corresponding to a measure with infinite discrete part off an arc
title_sort asymptotic behavior of orthogonal polynomials corresponding to a measure with infinite discrete part off an arc
url http://dx.doi.org/10.1155/S0161171201006007
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AT rbenzine asymptoticbehavioroforthogonalpolynomialscorrespondingtoameasurewithinfinitediscretepartoffanarc