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A generic polynomial solution for the differential equation of hypergeometric type and six sequences of orthogonal polynomials related to it

dc.date.accessioned2006-04-04T11:47:41Z
dc.date.available2006-04-04T11:47:41Z
dc.date.issued2005
dc.identifier.uriurn:nbn:de:hebis:34-200604048989
dc.identifier.urihttp://hdl.handle.net/123456789/200604048989
dc.format.extent157436 bytes
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.rightsUrheberrechtlich geschützt
dc.rights.urihttps://rightsstatements.org/page/InC/1.0/
dc.subjectKlassische orthogonale Polynomeeng
dc.subjectHypergeometrische Differentialgleichungeng
dc.subjectDifferential equation of hypergeometric typeeng
dc.subjectWeight functioneng
dc.subjectHypergeometric functionseng
dc.subjectHypergeometric identitieseng
dc.subjectRecurrence equationseng
dc.subject.ddc510
dc.titleA generic polynomial solution for the differential equation of hypergeometric type and six sequences of orthogonal polynomials related to iteng
dc.typePreprint
dcterms.abstractIn this work, we present a generic formula for the polynomial solution families of the well-known differential equation of hypergeometric type s(x)y"n(x) + t(x)y'n(x) - lnyn(x) = 0 and show that all the three classical orthogonal polynomial families as well as three finite orthogonal polynomial families, extracted from this equation, can be identified as special cases of this derived polynomial sequence. Some general properties of this sequence are also given.eng
dcterms.accessRightsopen access
dcterms.creatorKoepf, Wolfram
dcterms.creatorMasjed-Jamei, Mohammad
dcterms.isPartOfMathematische Schriften Kasseleng
dcterms.isPartOf05, 15eng
dc.subject.msc33C45eng
dc.subject.msc33C20eng
dc.subject.msc33F10eng
dcterms.source.journalMathematische Schriften Kassel
dcterms.source.volume05, 15


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