DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kwon, Kil Hyun | ko |
dc.date.accessioned | 2013-02-28T00:06:50Z | - |
dc.date.available | 2013-02-28T00:06:50Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 1997-04 | - |
dc.identifier.citation | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, v.80, no.1, pp.1 - 16 | - |
dc.identifier.issn | 0377-0427 | - |
dc.identifier.uri | http://hdl.handle.net/10203/71632 | - |
dc.description.abstract | Necessary and sufficient conditions for an orthogonal polynomial system (OPS) to satisfy a differential equation with polynomial coefficients of the form (*) L-N[y] = (i=1)Sigma(N) l(i)(x)y((i))(x) = lambda(n)y(x) were found by H.L. Krall. Here, we find new necessary conditions for the equation (*) to have an OPS of solutions as well as some other interesting applications. In particular, we obtain necessary and sufficient conditions for a distribution w(x) to be an orthogonalizing weight for such an OPS and investigate the structure of w(x). We also show that if the equation (*) has an OPS of solutions, which is orthogonal relative to a distribution w(x), then the differential operator L-N[.] in (*) must be symmetrizable under certain conditions on w(x). | - |
dc.language | English | - |
dc.publisher | Elsevier Science Bv | - |
dc.subject | STURM-LIOUVILLE SYSTEMS | - |
dc.subject | SETS | - |
dc.title | Differential equations having orthogonal polynomial solutions | - |
dc.title.alternative | Differential equations having orthogonal polynomial solutions | - |
dc.type | Article | - |
dc.identifier.wosid | A1997XC66700001 | - |
dc.identifier.scopusid | 2-s2.0-0031125556 | - |
dc.type.rims | ART | - |
dc.citation.volume | 80 | - |
dc.citation.issue | 1 | - |
dc.citation.beginningpage | 1 | - |
dc.citation.endingpage | 16 | - |
dc.citation.publicationname | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | - |
dc.contributor.localauthor | Kwon, Kil Hyun | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | STURM-LIOUVILLE SYSTEMS | - |
dc.subject.keywordPlus | SETS | - |
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