DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kwon, Kil Hyun | ko |
dc.contributor.author | Lee, JH | ko |
dc.contributor.author | Marcellan, F | ko |
dc.date.accessioned | 2013-03-04T19:26:53Z | - |
dc.date.available | 2013-03-04T19:26:53Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2004-11 | - |
dc.identifier.citation | JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, v.41, no.6, pp.977 - 994 | - |
dc.identifier.issn | 0304-9914 | - |
dc.identifier.uri | http://hdl.handle.net/10203/83830 | - |
dc.description.abstract | A pair of quasi-definite linear functionals {u(0), u(1)} is a generalized Delta-coherent pair if monic orthogonal polynomials {P-n(x)}(n=0)(infinity) and {R-n(x)}(n=0)(infinity) relative to u(0) and u(1), respectively, satisfy a relation R-n(x) = (1)/(n+1)DeltaP(n+1)(x) - (sigman)/(n)DeltaP(n)(x) - (taun-1)/(n-1)DeltaP(n-1)(x), n greater than or equal to 2, where sigma(n) and tau(n), are arbitrary constants and Delta(p) = p(x + 1) - p(x) is the difference operator. We show that if {u(0), u(1)} is a generalized Delta-coherent pair, then u(0) and u(1) must be discrete-semiclassical linear functionals. We also find conditions under which either u(0) or u(1) is discrete-classical. | - |
dc.language | English | - |
dc.publisher | KOREAN MATHEMATICAL SOC | - |
dc.subject | ORTHOGONAL POLYNOMIALS | - |
dc.title | Generalized Delta-coherent pairs | - |
dc.type | Article | - |
dc.identifier.wosid | 000224993600003 | - |
dc.identifier.scopusid | 2-s2.0-18344366692 | - |
dc.type.rims | ART | - |
dc.citation.volume | 41 | - |
dc.citation.issue | 6 | - |
dc.citation.beginningpage | 977 | - |
dc.citation.endingpage | 994 | - |
dc.citation.publicationname | JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | - |
dc.identifier.doi | 10.4134/JKMS.2004.41.6.977 | - |
dc.contributor.localauthor | Kwon, Kil Hyun | - |
dc.contributor.nonIdAuthor | Lee, JH | - |
dc.contributor.nonIdAuthor | Marcellan, F | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | discrete orthogonal polynomials | - |
dc.subject.keywordAuthor | Delta-coherent pairs | - |
dc.subject.keywordPlus | ORTHOGONAL POLYNOMIALS | - |
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