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http://hdl.handle.net/10016/5911
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| Title: | Perturbations of Laguerre-Hahn functional: modification by the derivative of a Dirac delta |
| Author(s): | Dueñas, Herbert
Marcellán, Francisco
Prianes, Eduardo |
| Publisher: | Taylor & Francis |
| Issued date: | Jan-2009 |
| Citation: | Integral Transforms and Special Functions, 2009, vol. 20, n. 1, p. 59-77 |
| URI: | http://hdl.handle.net/10016/5911 |
| ISSN: | 1065-2469 (Print)
1476-8291 (Online) |
| DOI: | 10.1080/10652460802493177 |
| Description: | 19 pages, no figures.-- MSC2000 code: 33C47.
MR#: MR2492206 (2010a:33031)
Zbl#: Zbl pre05509604 |
| Abstract: | In this paper, we consider a perturbation of a Laguerre-Hahn functional by adding a derivative of a Dirac delta. This transformation leaves invariant the family of Laguerre-Hahn linear functionals. We shall also analyse the class of the perturbed linear functional. Finally, we illustrate these perturbations by adding the derivative of a Dirac delta to the first kind associated functional of the classical Laguerre functional. The expression of the new orthogonal polynomials is obtained. |
| Sponsor: | The work of the first and second author has been supported by Comunidad de Madrid-Universidad Carlos III de Madrid, grant CCG07-UC3M/ESP-3339. The work of the second author has been supported by Dirección General de Investigación, Ministerio de Educación y Ciencia of Spain, grant MTM2006-13000-C03-02. |
| Review: | PeerReviewed |
| Publisher version: | http://dx.doi.org/10.1080/10652460802493177 |
| Keywords: | Orthogonal polynomials
Laguerre polynomials
Laguerre-Hahn polynomials
Derivative of a Dirac delta |
| Rights: | © Taylor & Francis |
| Appears in Collections: | DM - GAMA - Artículos de Revistas
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