DC Field | Value | Language |
---|---|---|
dc.contributor.author | Jung, IH | ko |
dc.contributor.author | Kwon, Kil Hyun | ko |
dc.contributor.author | Lee, DW | ko |
dc.contributor.author | Littlejohn, LL | ko |
dc.date.accessioned | 2013-03-02T13:37:05Z | - |
dc.date.available | 2013-03-02T13:37:05Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 1995-12 | - |
dc.identifier.citation | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, v.65, no.1-3, pp.173 - 180 | - |
dc.identifier.issn | 0377-0427 | - |
dc.identifier.uri | http://hdl.handle.net/10203/73769 | - |
dc.description.abstract | Consider (Sobolev) orthogonal polynomials which are orthogonal relative to a Sobolev bilinear form integral(R) p(x)q(x)d mu(x) + integral(R) p'(x)q'd nu(x), where d mu(x) and d nu(x) are signed Borel measures with finite moments. We give necessary and sufficient conditions under which such orthogonal polynomials satisfy a linear spectral differential equation with polynomial coefficients. We then find a sufficient condition under which such a differential equation is symmetrizable. These results can be applied to Sobolev-Laguerre polynomials found by Koekoek and Meijer. | - |
dc.language | English | - |
dc.publisher | ELSEVIER SCIENCE BV | - |
dc.subject | POLYNOMIALS | - |
dc.title | Differential equations and Sobolev orthogonality | - |
dc.type | Article | - |
dc.identifier.wosid | A1995UA05200015 | - |
dc.identifier.scopusid | 2-s2.0-0003734663 | - |
dc.type.rims | ART | - |
dc.citation.volume | 65 | - |
dc.citation.issue | 1-3 | - |
dc.citation.beginningpage | 173 | - |
dc.citation.endingpage | 180 | - |
dc.citation.publicationname | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | - |
dc.contributor.localauthor | Kwon, Kil Hyun | - |
dc.contributor.nonIdAuthor | Jung, IH | - |
dc.contributor.nonIdAuthor | Lee, DW | - |
dc.contributor.nonIdAuthor | Littlejohn, LL | - |
dc.type.journalArticle | Article; Proceedings Paper | - |
dc.subject.keywordAuthor | spectral differential equations | - |
dc.subject.keywordAuthor | Sobolev orthogonal polynomials | - |
dc.subject.keywordAuthor | symmetrizability of differential operator | - |
dc.subject.keywordPlus | POLYNOMIALS | - |
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