On Non-linear Characterizations of Classical Orthogonal Polynomials
| dc.date.accessioned | 2023-01-19T14:52:59Z | |
| dc.date.available | 2023-01-19T14:52:59Z | |
| dc.date.issued | 2022-12-03 | |
| dc.identifier | doi:10.17170/kobra-202301197410 | |
| dc.identifier.uri | http://hdl.handle.net/123456789/14377 | |
| dc.description.sponsorship | Gefördert im Rahmen des Projekts DEAL | |
| dc.language.iso | eng | |
| dc.rights | Namensnennung 4.0 International | * |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | * |
| dc.subject | Classical orthogonal polynomials on non-uniform lattices | eng |
| dc.subject | difference equation | eng |
| dc.subject | divided-difference equation | eng |
| dc.subject | three-term recurrence relation | eng |
| dc.subject.ddc | 510 | |
| dc.title | On Non-linear Characterizations of Classical Orthogonal Polynomials | eng |
| dc.type | Aufsatz | |
| dcterms.abstract | Classical orthogonal polynomials are known to satisfy seven equivalent properties, namely the Pearson equation for the linear functional, the second-order differential/difference/q-differential/ divided-difference equation, the orthogonality of the derivatives, the Rodrigues formula, two types of structure relations, and the Riccati equation for the formal Stieltjes function. In this work, following previous work by Kil et al., we state and prove a non-linear characterization result for classical orthogonal polynomials on non-uniform lattices. Next, we give explicit relations for some families of these classes. | eng |
| dcterms.accessRights | open access | |
| dcterms.creator | Njionou Sadjang, Patrick | |
| dcterms.creator | Kalda Sawalda, D. | |
| dcterms.creator | Mboutngam, Salifou | |
| dcterms.creator | Foupouagnigni, Mama | |
| dcterms.creator | Koepf, Wolfram | |
| dc.relation.doi | doi:10.1007/s00009-022-02207-y | |
| dc.subject.swd | Orthogonale Polynome | ger |
| dc.subject.swd | Differentialgleichung | ger |
| dc.subject.swd | Riccati-Differentialgleichung | ger |
| dc.subject.swd | Rodrigues-Formel | ger |
| dc.type.version | publishedVersion | |
| dcterms.source.identifier | eissn:1660-5454 | |
| dcterms.source.issue | issue 1 | |
| dcterms.source.journal | Mediterranean Journal of Mathematics (MedJM) | eng |
| dcterms.source.volume | Volume 20 | |
| kup.iskup | false | |
| dcterms.source.articlenumber | 10 |
Dateien zu dieser Ressource
Das Dokument erscheint in:
-
Artikel [1106]
Solange nicht anders angezeigt, wird die Lizenz wie folgt beschrieben: Namensnennung 4.0 International