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Please use this identifier to cite or link to this item:
http://hdl.handle.net/10016/6332
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| Title: | Sobolev orthogonal polynomials in the complex plane |
| Author(s): | López Lagomasino, Guillermo
Pijeira, Héctor
Pérez Izquierdo, Ignacio |
| Publisher: | Elsevier |
| Issued date: | 15-Jan-2001 |
| Citation: | Journal of Computational and Applied Mathematics, 2001, vol. 127, n. 1-2, p. 219-230 |
| URI: | http://hdl.handle.net/10016/6332 |
| ISSN: | 0377-0427 |
| DOI: | 10.1016/S0377-0427(00)00498-2 |
| Description: | 12 pages, no figures.-- MSC2000 codes: 42C05, 33C45.
MR#: MR1808575 (2001j:30006)
Zbl#: Zbl 0973.42015 |
| Abstract: | Sobolev orthogonal polynomials with respect to measures supported on compact subsets of the complex plane are considered. For a wide class of such Sobolev orthogonal polynomials, it is proved that their zeros are contained in a compact subset of the complex plane and their asymptotic-zero distribution is studied. We also find the nth-root asymptotic behavior of the corresponding sequence of Sobolev orthogonal polynomials. |
| Sponsor: | The research of the first author (G.L.L.) was partially supported by Dirección General de Enseñanza Superior under grant PB 96-0120-C03-01 and by INTAS under grant 93-0219 EXT. |
| Review: | PeerReviewed |
| Publisher version: | http://dx.doi.org/10.1016/S0377-0427(00)00498-2 |
| Keywords: | n-th root asymptotics
Zero distribution
Sobolev orthogonal polynomials |
| Rights: | © Elsevier |
| Appears in Collections: | DM - GAMA - Artículos de Revistas
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