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A generic formula for the values at the boundary points of monic classical orthogonal polynomials

dc.date.accessioned2006-05-31T12:28:23Z
dc.date.available2006-05-31T12:28:23Z
dc.date.issued2005
dc.identifier.uriurn:nbn:de:hebis:34-2006053112644
dc.identifier.urihttp://hdl.handle.net/123456789/2006053112644
dc.format.extent499126 bytes
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.rightsUrheberrechtlich geschützt
dc.rights.urihttps://rightsstatements.org/page/InC/1.0/
dc.subjectDifferential equation of hypergeometric typeeng
dc.subjectHypergeometric functionseng
dc.subjectHypergeometric identitieseng
dc.subjectRodriques type formulaeng
dc.subjectWeight functioneng
dc.subjectPearson's distributioneng
dc.subjectJacobi, Laquerre, Bessel and Hermite polynomialseng
dc.subject.ddc510
dc.titleA generic formula for the values at the boundary points of monic classical orthogonal polynomialseng
dc.typePreprint
dcterms.abstractIn a previous paper we have determined a generic formula for the polynomial solution families of the well-known differential equation of hypergeometric type σ(x)y"n(x)+τ(x)y'n(x)-λnyn(x)=0. In this paper, we give another such formula which enables us to present a generic formula for the values of monic classical orthogonal polynomials at their boundary points of definition.eng
dcterms.accessRightsopen access
dcterms.creatorKoepf, Wolfram
dcterms.creatorMasjed-Jamei, Mohammad
dcterms.isPartOfMathematische Schriften Kassel ;; 05, 16ger
dc.subject.msc33C45eng
dc.subject.msc33C20eng
dc.subject.msc33F10eng
dc.subject.swdHypergeometrische Differentialgleichungger
dc.subject.swdHypergeometrische Reiheger
dcterms.source.journalMathematische Schriften Kasselger
dcterms.source.volume05, 16


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