DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kwon, Kil Hyun | ko |
dc.contributor.author | Park, SB | ko |
dc.date.accessioned | 2013-03-02T21:52:21Z | - |
dc.date.available | 2013-03-02T21:52:21Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 1997-03 | - |
dc.identifier.citation | INDAGATIONES MATHEMATICAE-NEW SERIES, v.8, no.1, pp.79 - 93 | - |
dc.identifier.issn | 0019-3577 | - |
dc.identifier.uri | http://hdl.handle.net/10203/75719 | - |
dc.description.abstract | When sigma is a regular moment functional, we consider tau := sigma + lambda(1) delta(x - a(1)) + lambda(2) delta(x - a(2)), where lambda(1),lambda(2) is an element of C, a(1),a(2) is an element of R, and a(1) not equal a(2). We first find a necessary and sufficient condition for tau to be regular (or positive-definite when sigma is positive-definite) and then express orthogonal polynomials {R(n)(x)}(n=0)(infinity) relative to tau in terms of orthogonal polynomials {P-n(x)}(n=0)(infinity) relative to sigma. When both sigma and tau are positive-definite, we investigate the relations between zeros of {P-n(x)}(n=0)(infinity) and {R(n)(x)}(n=0)(infinity). Finally, when sigma is semi-classical, we show that tau is also semi-classical and give the structure relation, second-order differential equation satisfied by the semi-classical orthogonal polynomials {R(n)(x)}(n=0)(infinity), and the class number of tau. | - |
dc.language | English | - |
dc.publisher | ELSEVIER SCIENCE BV | - |
dc.subject | ORTHOGONAL POLYNOMIALS | - |
dc.subject | DIFFERENTIAL-EQUATIONS | - |
dc.title | Two point masses perturbation of regular moment functionals | - |
dc.type | Article | - |
dc.identifier.wosid | A1997WR60000008 | - |
dc.identifier.scopusid | 2-s2.0-0031584991 | - |
dc.type.rims | ART | - |
dc.citation.volume | 8 | - |
dc.citation.issue | 1 | - |
dc.citation.beginningpage | 79 | - |
dc.citation.endingpage | 93 | - |
dc.citation.publicationname | INDAGATIONES MATHEMATICAE-NEW SERIES | - |
dc.contributor.localauthor | Kwon, Kil Hyun | - |
dc.contributor.nonIdAuthor | Park, SB | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | ORTHOGONAL POLYNOMIALS | - |
dc.subject.keywordPlus | DIFFERENTIAL-EQUATIONS | - |
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