DC Field | Value | Language |
---|---|---|
dc.contributor.author | Everitt, WN | ko |
dc.contributor.author | Kwon, Kil Hyun | ko |
dc.contributor.author | Lee, JK | ko |
dc.contributor.author | Littlejohn, LL | ko |
dc.contributor.author | Williams, SC | ko |
dc.date.accessioned | 2013-03-04T19:13:56Z | - |
dc.date.available | 2013-03-04T19:13:56Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2001 | - |
dc.identifier.citation | ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, v.31, no.3, pp.899 - 937 | - |
dc.identifier.issn | 0035-7596 | - |
dc.identifier.uri | http://hdl.handle.net/10203/83781 | - |
dc.description.abstract | We discuss the self-adjoint spectral theory associated with a certain fourth-order non-Lagrangian symmetrizable ordinary differential equation t(4)[y] = lambday that has a sequence of orthogonal polynomial solutions. This example was first discovered by Jung, Kwon, and Lee. In their paper, they derive the remarkable formula for these polynomials {Q(n)(x)}(n=0)infinity : Q(n)(x) = n integral(1)(x) PLn-1(t)dt, n is an element of N, where {PLn(x)}(n=0)(infinity) are the left Legendre type polynomials. The left Legendre type polynomials and the spectral analysis of the associated symmetric fourth-order differential equation that they satisfy have been extensively studied previously by Krall, Loveland, Everitt, and Littlejohn. | - |
dc.language | English | - |
dc.publisher | ROCKY MT MATH CONSORTIUM | - |
dc.title | Self-adjoint operators generated from non-Lagrangian symmetric differential equations having orthogonal polynomial eigenfunctions | - |
dc.type | Article | - |
dc.identifier.wosid | 000173597100006 | - |
dc.identifier.scopusid | 2-s2.0-0035437987 | - |
dc.type.rims | ART | - |
dc.citation.volume | 31 | - |
dc.citation.issue | 3 | - |
dc.citation.beginningpage | 899 | - |
dc.citation.endingpage | 937 | - |
dc.citation.publicationname | ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | - |
dc.contributor.localauthor | Kwon, Kil Hyun | - |
dc.contributor.nonIdAuthor | Everitt, WN | - |
dc.contributor.nonIdAuthor | Lee, JK | - |
dc.contributor.nonIdAuthor | Littlejohn, LL | - |
dc.contributor.nonIdAuthor | Williams, SC | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Sobolev orthogonal polynomials | - |
dc.subject.keywordAuthor | non-Lagrangian symmetric | - |
dc.subject.keywordAuthor | self-adjoint operators | - |
dc.subject.keywordAuthor | left Legendre type polynomials | - |
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