A generic polynomial solution for the differential equation of hypergeometric type and six sequences of orthogonal polynomials related to it
| dc.date.accessioned | 2006-04-04T11:47:41Z | |
| dc.date.available | 2006-04-04T11:47:41Z | |
| dc.date.issued | 2005 | |
| dc.format.extent | 157436 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.uri | urn:nbn:de:hebis:34-200604048989 | |
| dc.identifier.uri | http://hdl.handle.net/123456789/200604048989 | |
| dc.language.iso | eng | |
| dc.rights | Urheberrechtlich geschützt | |
| dc.rights.uri | https://rightsstatements.org/page/InC/1.0/ | |
| dc.subject | Klassische orthogonale Polynome | eng |
| dc.subject | Hypergeometrische Differentialgleichung | eng |
| dc.subject | Differential equation of hypergeometric type | eng |
| dc.subject | Weight function | eng |
| dc.subject | Hypergeometric functions | eng |
| dc.subject | Hypergeometric identities | eng |
| dc.subject | Recurrence equations | eng |
| dc.subject.ddc | 510 | |
| dc.subject.msc | 33C45 | eng |
| dc.subject.msc | 33C20 | eng |
| dc.subject.msc | 33F10 | eng |
| dc.title | A generic polynomial solution for the differential equation of hypergeometric type and six sequences of orthogonal polynomials related to it | eng |
| dc.type | Preprint | |
| dcterms.abstract | In 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.accessRights | open access | |
| dcterms.creator | Koepf, Wolfram | |
| dcterms.creator | Masjed-Jamei, Mohammad | |
| dcterms.isPartOf | Mathematische Schriften Kassel | eng |
| dcterms.isPartOf | 05, 15 | eng |
| dcterms.source.journal | Mathematische Schriften Kassel | |
| dcterms.source.volume | 05, 15 |