DC Field | Value | Language |
---|---|---|
dc.contributor.author | Arvesu, J | ko |
dc.contributor.author | Alvarez-Nodarse, R | ko |
dc.contributor.author | Marcellan, F | ko |
dc.contributor.author | Kwon, Kil Hyun | ko |
dc.date.accessioned | 2013-03-02T21:57:46Z | - |
dc.date.available | 2013-03-02T21:57:46Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 1998 | - |
dc.identifier.citation | INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, v.7, no.3-4, pp.191 - 214 | - |
dc.identifier.issn | 1065-2469 | - |
dc.identifier.uri | http://hdl.handle.net/10203/75746 | - |
dc.description.abstract | We consider the perturbation of the classical Bessel moment functional by the addition of the linear functional M(0)delta(x) + M(1)delta'(x), where M-0 and M-1 is an element of R. We give necessary and sufficient conditions in order for this functional to be a quasi-definite functional. In such a situation we analyze the corresponding sequence of monic orthogonal polynomials B-n(alpha,M0,M1)(x). In particular, a hypergeometric representation (F-4(2)) for them is obtained. Furthermore, we deduce a relation between the corresponding Jacobi matrices, as well as the asymptotic behavior of the ratio B-n(alpha,M0,M1)(x)/B-n(alpha)(x), outside of the closed contour Gamma containing the origin and the difference between the new polynomials and the classical ones, inside Gamma. | - |
dc.language | English | - |
dc.publisher | GORDON BREACH SCI PUBL LTD | - |
dc.subject | SOBOLEV | - |
dc.title | Some extension of the Bessel-type orthogonal polynomials | - |
dc.type | Article | - |
dc.identifier.wosid | 000077712300002 | - |
dc.identifier.scopusid | 2-s2.0-0005824976 | - |
dc.type.rims | ART | - |
dc.citation.volume | 7 | - |
dc.citation.issue | 3-4 | - |
dc.citation.beginningpage | 191 | - |
dc.citation.endingpage | 214 | - |
dc.citation.publicationname | INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | - |
dc.contributor.localauthor | Kwon, Kil Hyun | - |
dc.contributor.nonIdAuthor | Arvesu, J | - |
dc.contributor.nonIdAuthor | Alvarez-Nodarse, R | - |
dc.contributor.nonIdAuthor | Marcellan, F | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | orthogonal polynomials | - |
dc.subject.keywordAuthor | Bessel polynomials | - |
dc.subject.keywordAuthor | hypergeometric function | - |
dc.subject.keywordAuthor | perturbed orthogonal polynomials | - |
dc.subject.keywordPlus | SOBOLEV | - |
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