Characterization theorem for classical orthogonal polynomials on non-uniform lattices: The functional approach
| dc.date.accessioned | 2010-08-30T12:02:28Z | |
| dc.date.available | 2010-08-30T12:02:28Z | |
| dc.date.issued | 2010 | |
| dc.identifier.uri | urn:nbn:de:hebis:34-2010083034418 | |
| dc.identifier.uri | http://hdl.handle.net/123456789/2010083034418 | |
| dc.language.iso | eng | |
| dc.rights | Urheberrechtlich geschützt | |
| dc.rights.uri | https://rightsstatements.org/page/InC/1.0/ | |
| dc.subject | Classical orthogonal polynomials | eng |
| dc.subject | Non-uniform lattices | eng |
| dc.subject | Linear functionals | eng |
| dc.subject | Divided-difference equations | eng |
| dc.subject | Riccati equation | eng |
| dc.subject | Structure relations | eng |
| dc.subject | Functional approach | eng |
| dc.subject.ddc | 510 | |
| dc.title | Characterization theorem for classical orthogonal polynomials on non-uniform lattices: The functional approach | eng |
| dc.type | Preprint | |
| dcterms.abstract | Using the functional approach, we state and prove a characterization theorem for classical orthogonal polynomials on non-uniform lattices (quadratic lattices of a discrete or a q-discrete variable) including the Askey-Wilson polynomials. This theorem proves the equivalence between seven characterization properties, namely the Pearson equation for the linear functional, the second-order 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. | eng |
| dcterms.accessRights | open access | |
| dcterms.creator | Foupouagnigni, Mama | |
| dcterms.creator | Kenfack Nangho, Maurice | |
| dcterms.creator | Mboutngam, Salifou | |
| dcterms.isPartOf | Mathematische Schriften Kassel ;; 10, 04 | ger |
| dc.subject.msc | 33C45 | eng |
| dc.subject.msc | 33D45 | eng |
| dcterms.source.journal | Mathematische Schriften Kassel | ger |
| dcterms.source.volume | 10, 04 |
