DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, YJ | ko |
dc.contributor.author | Kwon, Kil Hyun | ko |
dc.contributor.author | Lee, JK | ko |
dc.date.accessioned | 2013-02-27T14:54:41Z | - |
dc.date.available | 2013-02-27T14:54:41Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 1997 | - |
dc.identifier.citation | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, v.82, no.1-2, pp.239 - 260 | - |
dc.identifier.issn | 0377-0427 | - |
dc.identifier.uri | http://hdl.handle.net/10203/69191 | - |
dc.description.abstract | We study the second-order partial differential equations L[u] = Au-xx + 2Bu(xy) + Cu-yy + Du(x) + Eu-y = lambda(n)u, which have orthogonal polynomials in two variables as solutions. By using formal functional calculus on moment functionals, we first give new simpler proofs and improvements of the results by Krall and Sheffer and Littlejohn. We then give a two-variable version of Al-Salam and Chihara's characterization of classical orthogonal polynomials in one variable. We also study in detail the case when L[.] belongs to the basic class, that is, A(y) = C-x = 0. In particular, we characterize all such differential equations which have a product of two classical orthogonal polynomials in one variable as solutions. | - |
dc.language | English | - |
dc.publisher | ELSEVIER SCIENCE BV | - |
dc.title | Orthogonal polynomials in two variables and second-order partial differential equations | - |
dc.type | Article | - |
dc.identifier.wosid | A1997XZ14300018 | - |
dc.identifier.scopusid | 2-s2.0-0031234968 | - |
dc.type.rims | ART | - |
dc.citation.volume | 82 | - |
dc.citation.issue | 1-2 | - |
dc.citation.beginningpage | 239 | - |
dc.citation.endingpage | 260 | - |
dc.citation.publicationname | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | - |
dc.contributor.localauthor | Kwon, Kil Hyun | - |
dc.contributor.nonIdAuthor | Kim, YJ | - |
dc.contributor.nonIdAuthor | Lee, JK | - |
dc.type.journalArticle | Article; Proceedings Paper | - |
dc.subject.keywordAuthor | orthogonal polynomials in two variables | - |
dc.subject.keywordAuthor | second-order partial differential equations | - |
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