Zero distribution of sequences of classical orthogonal polynomials
We obtain the zero distribution of sequences of classical orthogonal polynomials associated with Jacobi, Laguerre, and Hermite weights. We show that the limit measure is the extremal measure associated with the corresponding weight.
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| Format: | Article |
| Language: | English |
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Wiley
2003-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/S1085337503306347 |
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| _version_ | 1832556050162647040 |
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| author | Plamen Simeonov |
| author_facet | Plamen Simeonov |
| author_sort | Plamen Simeonov |
| collection | DOAJ |
| description | We obtain the zero distribution of sequences of classical
orthogonal polynomials associated with Jacobi, Laguerre, and
Hermite weights. We show that the limit measure is the extremal
measure associated with the corresponding weight. |
| format | Article |
| id | doaj-art-2abf37d40617458b87dc65f72b766c02 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-2abf37d40617458b87dc65f72b766c022025-02-03T05:46:28ZengWileyAbstract and Applied Analysis1085-33751687-04092003-01-0120031798599310.1155/S1085337503306347Zero distribution of sequences of classical orthogonal polynomialsPlamen Simeonov0Department of Computer and Mathematical Sciences, University of Houston-Downtown, Houston 77002, TX, USAWe obtain the zero distribution of sequences of classical orthogonal polynomials associated with Jacobi, Laguerre, and Hermite weights. We show that the limit measure is the extremal measure associated with the corresponding weight.http://dx.doi.org/10.1155/S1085337503306347 |
| spellingShingle | Plamen Simeonov Zero distribution of sequences of classical orthogonal polynomials Abstract and Applied Analysis |
| title | Zero distribution of sequences of classical orthogonal polynomials |
| title_full | Zero distribution of sequences of classical orthogonal polynomials |
| title_fullStr | Zero distribution of sequences of classical orthogonal polynomials |
| title_full_unstemmed | Zero distribution of sequences of classical orthogonal polynomials |
| title_short | Zero distribution of sequences of classical orthogonal polynomials |
| title_sort | zero distribution of sequences of classical orthogonal polynomials |
| url | http://dx.doi.org/10.1155/S1085337503306347 |
| work_keys_str_mv | AT plamensimeonov zerodistributionofsequencesofclassicalorthogonalpolynomials |