dc.creator | Marcellán Español, Francisco | es |
dc.creator | Medem Roesicke, Juan Carlos | es |
dc.date.accessioned | 2016-11-29T10:44:24Z | |
dc.date.available | 2016-11-29T10:44:24Z | |
dc.date.issued | 1999 | |
dc.identifier.citation | Marcellán Español, F. y Medem Roesicke, J.C. (1999). Q-classical orthogonal polynomials: a very classical approach. Electronic Transactions on Numerical Analysis, 9, 112-127. | |
dc.identifier.issn | 1068-9613 | es |
dc.identifier.uri | http://hdl.handle.net/11441/49288 | |
dc.description.abstract | The q-classical orthogonal polynomials defined by Hahn satisfy a Sturm-Liouville type equation in geometric differences. Working with this, we classify the q−classical polynomials in twelve families according to the zeros of the polynomial coefficients of the equation and the behavior concerning to q-1. We determine a q-analogue of the weight function for the twelve families, and we give a representation of its orthogonality relation and its q-integral. We describe this representation in some normal and special cases (indeterminate moment problem and finite orthogonal sequences). Finally, the Sturm-Liouville type equation allows us to establish the correspondence between this classification and the Askey Scheme. | es |
dc.description.sponsorship | Dirección General de Enseñanza Superior | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Kent State University | es |
dc.relation.ispartof | Electronic Transactions on Numerical Analysis, 9, 112-127. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Orthogonal q-polynomials | es |
dc.subject | Classical polynomials | es |
dc.title | Q-classical orthogonal polynomials: a very classical approach | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Análisis Matemático | es |
dc.relation.projectID | PB-96-0120-C03-01 | es |
dc.relation.publisherversion | http://etna.mcs.kent.edu/vol.9.1999/pp112-127.dir/pp112-127.pdf | es |
dc.contributor.group | Universidad de Sevilla. FQM262: Teoría de la Aproximación | es |
idus.format.extent | 16 p. | es |
dc.journaltitle | Electronic Transactions on Numerical Analysis | es |
dc.publication.volumen | 9 | es |
dc.publication.initialPage | 112 | es |
dc.publication.endPage | 127 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/49288 | |
dc.contributor.funder | Dirección General de Enseñanza Superior. España | |