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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Format: | Article |
Language: | English |
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Wiley
2001-01-01
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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. |
format | Article |
id | doaj-art-a39dc59dbc684657b93ff013a599be5f |
institution | Kabale University |
issn | 0161-1712 1687-0425 |
language | English |
publishDate | 2001-01-01 |
publisher | Wiley |
record_format | Article |
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 |
work_keys_str_mv | AT rkhaldi asymptoticbehavioroforthogonalpolynomialscorrespondingtoameasurewithinfinitediscretepartoffanarc AT rbenzine asymptoticbehavioroforthogonalpolynomialscorrespondingtoameasurewithinfinitediscretepartoffanarc |