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College of Natural Sciences(자연과학대학)Dept. of Mathematical Sciences(수리과학과)MA-Journal Papers(저널논문)

Orthogonal polynomial solutions of linear ordinary differential equations

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dc.contributor.authorEveritt, WNko
dc.contributor.authorKwon, Kil Hyunko
dc.contributor.authorLittlejohn, LLko
dc.contributor.authorWellman, Rko
dc.date.accessioned2013-03-03T14:39:29Z-
dc.date.available2013-03-03T14:39:29Z-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.issued2001-08-
dc.identifier.citationJOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, v.133, no.1-2, pp.85 - 109-
dc.identifier.issn0377-0427-
dc.identifier.urihttp://hdl.handle.net/10203/79109-
dc.description.abstractThis paper surveys the latest known results concerning the classification of differential equations of the form [GRAPHICS] having a sequence of polynomial eigenfunctions {p(n)(x)}(n=0)(infinity) that are orthogonal with respect to some real bilinear form. Since the publishing of the Erice Report in 1990, several new significant results and generalizations have been discovered. (C) 2001 Elsevier Science B.V. All rights reserved.-
dc.languageEnglish-
dc.publisherELSEVIER SCIENCE BV-
dc.subjectGENERALIZED LAGUERRE-POLYNOMIALS-
dc.subjectSOBOLEV ORTHOGONALITY-
dc.subjectGEGENBAUER POLYNOMIALS-
dc.subjectEIGENFUNCTIONS-
dc.subjectOPERATORS-
dc.subjectZEROS-
dc.subjectSTIELTJES-
dc.subjectMOMENTS-
dc.subjectFORM-
dc.titleOrthogonal polynomial solutions of linear ordinary differential equations-
dc.typeArticle-
dc.identifier.wosid000170613700007-
dc.identifier.scopusid2-s2.0-0035418246-
dc.type.rimsART-
dc.citation.volume133-
dc.citation.issue1-2-
dc.citation.beginningpage85-
dc.citation.endingpage109-
dc.citation.publicationnameJOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS-
dc.contributor.localauthorKwon, Kil Hyun-
dc.contributor.nonIdAuthorEveritt, WN-
dc.contributor.nonIdAuthorLittlejohn, LL-
dc.contributor.nonIdAuthorWellman, R-
dc.type.journalArticleArticle; Proceedings Paper-
dc.subject.keywordAuthororthogonal polynomials-
dc.subject.keywordAuthordifferential equations-
dc.subject.keywordAuthorself-adjoint operators-
dc.subject.keywordAuthoreigenfunctions-
dc.subject.keywordAuthorHilbert spaces-
dc.subject.keywordAuthorSobolev spaces-
dc.subject.keywordPlusGENERALIZED LAGUERRE-POLYNOMIALS-
dc.subject.keywordPlusSOBOLEV ORTHOGONALITY-
dc.subject.keywordPlusGEGENBAUER POLYNOMIALS-
dc.subject.keywordPlusEIGENFUNCTIONS-
dc.subject.keywordPlusOPERATORS-
dc.subject.keywordPlusZEROS-
dc.subject.keywordPlusSTIELTJES-
dc.subject.keywordPlusMOMENTS-
dc.subject.keywordPlusFORM-
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