Orthogonal polynomials and recurrence equations, operator equations and factorization

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dc.date.accessioned2006-04-06T14:17:34Z
dc.date.available2006-04-06T14:17:34Z
dc.date.issued2005
dc.format.extent168454 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.uriurn:nbn:de:hebis:34-200604069128
dc.identifier.urihttp://hdl.handle.net/123456789/200604069128
dc.language.isoeng
dc.publisherUniversität Kassel, FB 17, Mathematik/Informatikeng
dc.rightsUrheberrechtlich geschützt
dc.rights.urihttps://rightsstatements.org/page/InC/1.0/
dc.subjectOrthogonale Polynomeeng
dc.subjectDifferentialgleichungeng
dc.subjectDifferenzengleichungeng
dc.subjectHypergeometrische Reiheeng
dc.subjectMaple <Programm>eng
dc.subjectComputer Algebraeng
dc.subjectHahn Classeng
dc.subjectOrthogonal polynomialseng
dc.subjectDifferential equationseng
dc.subjectQ-difference equationseng
dc.subjectHypergeometric functionseng
dc.subjectFactorization of operator polynomialseng
dc.subject.ddc510
dc.subject.msc39A70eng
dc.subject.msc33D15eng
dc.subject.msc33D45eng
dc.subject.msc33C20eng
dc.subject.msc33C45eng
dc.titleOrthogonal polynomials and recurrence equations, operator equations and factorizationeng
dc.typePreprint
dcterms.abstractThis article surveys the classical orthogonal polynomial systems of the Hahn class, which are solutions of second-order differential, difference or q-difference equations. Orthogonal families satisfy three-term recurrence equations. Example applications of an algorithm to determine whether a three-term recurrence equation has solutions in the Hahn class - implemented in the computer algebra system Maple - are given. Modifications of these families, in particular associated orthogonal systems, satisfy fourth-order operator equations. A factorization of these equations leads to a solution basis.eng
dcterms.accessRightsopen access
dcterms.creatorKoepf, Wolfram
dcterms.isPartOfMathematische Schriften Kasseleng
dcterms.isPartOf05, 14eng
dcterms.source.journalMathematische Schriften Kassel
dcterms.source.volume05, 14

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