DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, DH | ko |
dc.contributor.author | Kwon, Kil Hyun | ko |
dc.date.accessioned | 2013-03-02T21:52:30Z | - |
dc.date.available | 2013-03-02T21:52:30Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 1996-01 | - |
dc.identifier.citation | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, v.124, no.1, pp.227 - 231 | - |
dc.identifier.issn | 0002-9939 | - |
dc.identifier.uri | http://hdl.handle.net/10203/75720 | - |
dc.description.abstract | In 1961, Karlin and Szego conjectured : If {P-n(x)}(infinity)(n=0) is an orthogonal polynomial system and {P'(n)(x)}(infinity)(n=1) is a Sturm sequence, then {P-n(x)}(infinity)(n=0) essentially (that is, after a linear change of variable) a classical orthogonal polynomial system of Jacobi, Laguerre, or Hermite. Here,we prove that for any orthogonal polynomial system {P-n(x)}(infinity)(n=0), {P'(n)(x)}(infinity)(n=1) is always a Sturm sequence. Thus, in particular, the above conjecture by Karlin and Szego is false. | - |
dc.language | English | - |
dc.publisher | AMER MATHEMATICAL SOC | - |
dc.title | On a conjecture by Karlin and Szego | - |
dc.type | Article | - |
dc.identifier.wosid | A1996UC15400033 | - |
dc.identifier.scopusid | 2-s2.0-0007035848 | - |
dc.type.rims | ART | - |
dc.citation.volume | 124 | - |
dc.citation.issue | 1 | - |
dc.citation.beginningpage | 227 | - |
dc.citation.endingpage | 231 | - |
dc.citation.publicationname | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | - |
dc.contributor.localauthor | Kwon, Kil Hyun | - |
dc.contributor.nonIdAuthor | Kim, DH | - |
dc.type.journalArticle | Article | - |
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