A characterization of Hermite polynomials

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dc.contributor.authorKwon, Kil Hyunko
dc.contributor.authorYoo, BHko
dc.contributor.authorYoon, GYko
dc.date.accessioned2013-02-27T11:00:38Z-
dc.date.available2013-02-27T11:00:38Z-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.issued1997-02-
dc.identifier.citationJOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, v.78, no.2, pp.295 - 299-
dc.identifier.issn0377-0427-
dc.identifier.urihttp://hdl.handle.net/10203/68112-
dc.description.abstractWe show that for any orthogonal polynomials {R(n)(x)}(infinity)(n=0) satisfying a spectral type differential equation of order N (greater than or equal to 2) L(N)[y](x) = (i=1)Sigma(N) l(i)(x)y((i))(x) = lambda(n)y(x), {P-n(x)}(infinity)(n=0) must be essentially Hermite polynomials if and only if the leading coefficient l(N)(x) is a nonzero constant.-
dc.languageEnglish-
dc.publisherELSEVIER SCIENCE BV-
dc.subjectORTHOGONAL POLYNOMIALS-
dc.subjectDIFFERENTIAL-EQUATIONS-
dc.titleA characterization of Hermite polynomials-
dc.typeArticle-
dc.identifier.wosidA1997WK94300006-
dc.identifier.scopusid2-s2.0-0043266579-
dc.type.rimsART-
dc.citation.volume78-
dc.citation.issue2-
dc.citation.beginningpage295-
dc.citation.endingpage299-
dc.citation.publicationnameJOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS-
dc.contributor.localauthorKwon, Kil Hyun-
dc.contributor.nonIdAuthorYoo, BH-
dc.contributor.nonIdAuthorYoon, GY-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorspectral type differential equation-
dc.subject.keywordAuthorHermite polynomials-
dc.subject.keywordPlusORTHOGONAL POLYNOMIALS-
dc.subject.keywordPlusDIFFERENTIAL-EQUATIONS-
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