dc.creator | Arvesú Carballo, Jorge | es |
dc.creator | Álvarez Nodarse, Renato | es |
dc.creator | Marcellán Español, Francisco | es |
dc.creator | Pan, Ke-Lin | es |
dc.date.accessioned | 2016-09-22T07:10:58Z | |
dc.date.available | 2016-09-22T07:10:58Z | |
dc.date.issued | 1998-04-17 | |
dc.identifier.citation | Arvesú Carballo, J., Álvarez Nodarse, R., Marcellán Español, F. y Pan, K. (1998). Jacobi-Sobolev-type orthogonal polynomials: Second-order differential equation and zeros. Journal of Computational and Applied Mathematics, 90 (2), 135-156. | |
dc.identifier.issn | 0377-0427 | es |
dc.identifier.issn | 1879-1778 | es |
dc.identifier.uri | http://hdl.handle.net/11441/45238 | |
dc.description.abstract | We obtain an explicit expression for the Sobolev-type orthogonal polynomials {Qn} associated with the inner product 〈p,q〉=∫−11 p(x)q(x)p(x)dx + A1p(1)q(1) + B1p(−1)q(−1) + A2p′(1)q′(1) + B2p′(−1)q′(−1), where p(x) = (1 − x)α(1 + x)β is the Jacobi weight function, α,β> − 1, A1,B1,A2,B2⩾0 and p, q ∈ P, the linear space of polynomials with real coefficients. The hypergeometric representation (6F5) and the second-order linear differential equation that such polynomials satisfy are also obtained. The asymptotic behaviour of such polynomials in [−1, 1] is studied. Furthermore, we obtain some estimates for the largest zero of Qn(x). Such a zero is located outside the interval [−1, 1]. We deduce his dependence of the masses. Finally, the WKB analysis for the distribution of zeros is presented. | es |
dc.description.sponsorship | Dirección General de Enseñanza Superior | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Journal of Computational and Applied Mathematics, 90 (2), 135-156. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Orthogonal polynomials | es |
dc.subject | Jacobi polynomials | es |
dc.subject | Hypergeometric function | es |
dc.subject | Sobolev-type orthogonal polynomials | es |
dc.subject | WKB method | es |
dc.title | Jacobi-Sobolev-type orthogonal polynomials: second-order differential equation and zeros | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | 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://ac.els-cdn.com/S0377042798000053/1-s2.0-S0377042798000053-main.pdf?_tid=61521d1a-8093-11e6-ad84-00000aacb360&acdnat=1474528296_896de55019cafc26e435753dc477f933 | es |
dc.identifier.doi | 10.1016/S0377-0427(98)00005-3 | es |
dc.contributor.group | Universidad de Sevilla. FQM262: Teoria de la Aproximacion | es |
idus.format.extent | 20 p. | es |
dc.journaltitle | Journal of Computational and Applied Mathematics | es |
dc.publication.volumen | 90 | es |
dc.publication.issue | 2 | es |
dc.publication.initialPage | 135 | es |
dc.publication.endPage | 156 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/45238 | |
dc.contributor.funder | Dirección General de Enseñanza Superior. España | |