A generic formula for the values at the boundary points of monic classical orthogonal polynomials
dc.date.accessioned | 2006-05-31T12:28:23Z | |
dc.date.available | 2006-05-31T12:28:23Z | |
dc.date.issued | 2005 | |
dc.identifier.uri | urn:nbn:de:hebis:34-2006053112644 | |
dc.identifier.uri | http://hdl.handle.net/123456789/2006053112644 | |
dc.format.extent | 499126 bytes | |
dc.format.mimetype | application/pdf | |
dc.language.iso | eng | |
dc.rights | Urheberrechtlich geschützt | |
dc.rights.uri | https://rightsstatements.org/page/InC/1.0/ | |
dc.subject | Differential equation of hypergeometric type | eng |
dc.subject | Hypergeometric functions | eng |
dc.subject | Hypergeometric identities | eng |
dc.subject | Rodriques type formula | eng |
dc.subject | Weight function | eng |
dc.subject | Pearson's distribution | eng |
dc.subject | Jacobi, Laquerre, Bessel and Hermite polynomials | eng |
dc.subject.ddc | 510 | |
dc.title | A generic formula for the values at the boundary points of monic classical orthogonal polynomials | eng |
dc.type | Preprint | |
dcterms.abstract | In 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.accessRights | open access | |
dcterms.creator | Koepf, Wolfram | |
dcterms.creator | Masjed-Jamei, Mohammad | |
dcterms.isPartOf | Mathematische Schriften Kassel ;; 05, 16 | ger |
dc.subject.msc | 33C45 | eng |
dc.subject.msc | 33C20 | eng |
dc.subject.msc | 33F10 | eng |
dc.subject.swd | Hypergeometrische Differentialgleichung | ger |
dc.subject.swd | Hypergeometrische Reihe | ger |
dcterms.source.journal | Mathematische Schriften Kassel | ger |
dcterms.source.volume | 05, 16 |