DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kwon, Kil Hyun | ko |
dc.contributor.author | Lee, DW | ko |
dc.date.accessioned | 2013-03-06T04:39:23Z | - |
dc.date.available | 2013-03-06T04:39:23Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2003-04 | - |
dc.identifier.citation | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, v.153, no.1-2, pp.283 - 293 | - |
dc.identifier.issn | 0377-0427 | - |
dc.identifier.uri | http://hdl.handle.net/10203/85819 | - |
dc.description.abstract | Let {phi(n)}(n=0)(infinity) be a sequence of functions satisfying a second-order differential equation of the form alphaphi(n)'' + betaphi(n)' + (sigma + lambda(n)tau)phi(n) = f(n), where alpha, beta, sigma, tau, and f(n) are smooth functions on the real line R, and lambda(n) is the eigenvalue parameter. Then we find a necessary and sufficient condition in order for {phi(n)}(n=0)(infinity) to be orthogonal relative to a distribution w and then-we give a method to find the distributional orthogonalizing weight w. For such an orthogonal function system, we also give a necessary and sufficient condition in order that the derived set {(pphi(n))'}(n=0)(infinity) is orthogonal, which is a generalization of Lewis and Hahn. We also give various examples. (C) 2002 Elsevier Science B.V. All rights reserved. | - |
dc.language | English | - |
dc.publisher | ELSEVIER SCIENCE BV | - |
dc.subject | POLYNOMIALS | - |
dc.subject | SETS | - |
dc.title | Orthogonal functions satisfying a second-order differential equation | - |
dc.type | Article | - |
dc.identifier.wosid | 000181888700028 | - |
dc.identifier.scopusid | 2-s2.0-0037380146 | - |
dc.type.rims | ART | - |
dc.citation.volume | 153 | - |
dc.citation.issue | 1-2 | - |
dc.citation.beginningpage | 283 | - |
dc.citation.endingpage | 293 | - |
dc.citation.publicationname | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | - |
dc.contributor.localauthor | Kwon, Kil Hyun | - |
dc.contributor.nonIdAuthor | Lee, DW | - |
dc.type.journalArticle | Article; Proceedings Paper | - |
dc.subject.keywordAuthor | orthogonal functions | - |
dc.subject.keywordAuthor | differential equation | - |
dc.subject.keywordAuthor | orthogonality of derivatives | - |
dc.subject.keywordPlus | POLYNOMIALS | - |
dc.subject.keywordPlus | SETS | - |
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