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Please use this identifier to cite or link to this item:
http://hdl.handle.net/10016/5951
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| Title: | On an extension of symmetric coherent pairs of orthogonal polynomials |
| Author(s): | Delgado, Antonia M.
Marcellán, Francisco |
| Publisher: | Elsevier |
| Issued date: | Jun-2005 |
| Citation: | Journal of Computational and Applied Mathematics, 2005, vol. 178, n. 1-2, p. 155-168 |
| URI: | http://hdl.handle.net/10016/5951 |
| ISSN: | 0377-0427 |
| DOI: | 10.1016/j.cam.2004.02.026 |
| Description: | 14 pages, no figures.-- MSC2000 codes: Primary 33C45; 42C05.-- Issue title: "Proceedings of the Seventh International Symposium on Orthogonal Polynomials,Special Functions and Applications" (University of Copenhagen, Denmark, Aug 18-22, 2003).
MR#: MR2127877 (2006f:33006)
Zbl#: Zbl 1077.42016 |
| Abstract: | Given two symmetric and positive definite linear functionals, W and V, we study the coefficients in the recurrence relation for the system of monic polynomials orthogonal with respect to the second linear functional assuming that the first one is classical and that there exists an algebraic–differential relation between these two families of polynomials. Moreover, we determine this companion linear functional as a rational modification of the classical one. |
| Sponsor: | The work of the authors has been supported by Dirección General de Investigación, Ministerio de Ciencia y Tecnología of Spain, under Grant BFM 2003–06335–C03–02. |
| Review: | PeerReviewed |
| Publisher version: | http://dx.doi.org/10.1016/j.cam.2004.02.026 |
| Keywords: | Orthogonal polynomials
Linear functionals
Symmetric linear functionals
Sobolev inner product |
| Rights: | © Elsevier |
| Appears in Collections: | DM - GAMA - Artículos de Revistas
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