Companion orthogonal polynomials
| Main Author: | |
|---|---|
| Publication Date: | 1996 |
| Format: | Article |
| Language: | eng |
| Source: | Repositório Institucional da UNESP |
| Download full: | http://dx.doi.org/10.1016/S0377-0427(96)00074-X http://hdl.handle.net/11449/36731 |
Summary: | We give some properties relating the recurrence relations of orthogonal polynomials associated with any two symmetric distributions d phi(1)(x) and d phi(2)(x) such that d phi(2)(x) = (I + kx(2))d phi(1)(x). AS applications of these properties, recurrence relations for many interesting systems of orthogonal polynomials are obtained. |
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Companion orthogonal polynomialssymmetric orthogonal polynomialsThree term recurrence relationsstrong distributionsWe give some properties relating the recurrence relations of orthogonal polynomials associated with any two symmetric distributions d phi(1)(x) and d phi(2)(x) such that d phi(2)(x) = (I + kx(2))d phi(1)(x). AS applications of these properties, recurrence relations for many interesting systems of orthogonal polynomials are obtained.UNIV ESTADUAL PAULISTA,IBILCE,DEPT CIENCIAS COMP & ESTATISIT,BR-15054000 S JOSE RIO PR,SP,BRAZILUNIV ESTADUAL PAULISTA,IBILCE,DEPT CIENCIAS COMP & ESTATISIT,BR-15054000 S JOSE RIO PR,SP,BRAZILElsevier B.V.Universidade Estadual Paulista (Unesp)Ranga, A. S.2014-05-20T15:26:35Z2014-05-20T15:26:35Z1996-11-12info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article23-33application/pdfhttp://dx.doi.org/10.1016/S0377-0427(96)00074-XJournal of Computational and Applied Mathematics. Amsterdam: Elsevier B.V., v. 75, n. 1, p. 23-33, 1996.0377-0427http://hdl.handle.net/11449/3673110.1016/S0377-0427(96)00074-XWOS:A1996VT456000022-s2.0-0040948098WOSA1996VT45600002.pdf3587123309745610Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Computational and Applied Mathematics1.6320,938info:eu-repo/semantics/openAccess2024-10-25T14:48:08Zoai:repositorio.unesp.br:11449/36731Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestrepositoriounesp@unesp.bropendoar:29462024-10-25T14:48:08Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
| dc.title.none.fl_str_mv |
Companion orthogonal polynomials |
| title |
Companion orthogonal polynomials |
| spellingShingle |
Companion orthogonal polynomials Ranga, A. S. symmetric orthogonal polynomials Three term recurrence relations strong distributions |
| title_short |
Companion orthogonal polynomials |
| title_full |
Companion orthogonal polynomials |
| title_fullStr |
Companion orthogonal polynomials |
| title_full_unstemmed |
Companion orthogonal polynomials |
| title_sort |
Companion orthogonal polynomials |
| author |
Ranga, A. S. |
| author_facet |
Ranga, A. S. |
| author_role |
author |
| dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) |
| dc.contributor.author.fl_str_mv |
Ranga, A. S. |
| dc.subject.por.fl_str_mv |
symmetric orthogonal polynomials Three term recurrence relations strong distributions |
| topic |
symmetric orthogonal polynomials Three term recurrence relations strong distributions |
| description |
We give some properties relating the recurrence relations of orthogonal polynomials associated with any two symmetric distributions d phi(1)(x) and d phi(2)(x) such that d phi(2)(x) = (I + kx(2))d phi(1)(x). AS applications of these properties, recurrence relations for many interesting systems of orthogonal polynomials are obtained. |
| publishDate |
1996 |
| dc.date.none.fl_str_mv |
1996-11-12 2014-05-20T15:26:35Z 2014-05-20T15:26:35Z |
| dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
| dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
| format |
article |
| status_str |
publishedVersion |
| dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1016/S0377-0427(96)00074-X Journal of Computational and Applied Mathematics. Amsterdam: Elsevier B.V., v. 75, n. 1, p. 23-33, 1996. 0377-0427 http://hdl.handle.net/11449/36731 10.1016/S0377-0427(96)00074-X WOS:A1996VT45600002 2-s2.0-0040948098 WOSA1996VT45600002.pdf 3587123309745610 |
| url |
http://dx.doi.org/10.1016/S0377-0427(96)00074-X http://hdl.handle.net/11449/36731 |
| identifier_str_mv |
Journal of Computational and Applied Mathematics. Amsterdam: Elsevier B.V., v. 75, n. 1, p. 23-33, 1996. 0377-0427 10.1016/S0377-0427(96)00074-X WOS:A1996VT45600002 2-s2.0-0040948098 WOSA1996VT45600002.pdf 3587123309745610 |
| dc.language.iso.fl_str_mv |
eng |
| language |
eng |
| dc.relation.none.fl_str_mv |
Journal of Computational and Applied Mathematics 1.632 0,938 |
| dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
| eu_rights_str_mv |
openAccess |
| dc.format.none.fl_str_mv |
23-33 application/pdf |
| dc.publisher.none.fl_str_mv |
Elsevier B.V. |
| publisher.none.fl_str_mv |
Elsevier B.V. |
| dc.source.none.fl_str_mv |
Web of Science reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
| instname_str |
Universidade Estadual Paulista (UNESP) |
| instacron_str |
UNESP |
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UNESP |
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Repositório Institucional da UNESP |
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Repositório Institucional da UNESP |
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Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
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repositoriounesp@unesp.br |
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1854949246570070016 |