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http://hdl.handle.net/10016/6288
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| Title: | On the limit behavior of recurrence coefficients for multiple orthogonal polynomials |
| Author(s): | Aptekarev, A. I.
Kalyagin, V.
López Lagomasino, Guillermo
Álvarez Rocha, Ignacio |
| Publisher: | Elsevier |
| Issued date: | Mar-2006 |
| Citation: | Journal of Approximation Theory, 2006, vol. 139, n. 1-2, p. 346-370 |
| URI: | http://hdl.handle.net/10016/6288 |
| ISSN: | 0021-9045 |
| DOI: | 10.1016/j.jat.2005.09.011 |
| Description: | 25 pages, no figures.-- MSC1991 codes: primary 42C05, 33C25; secondary 41A21.-- Dedicated to Barry Simon on the occasion of his sixtieth birthday.
MR#: MR2220045 (2007a:42048)
Zbl#: Zbl 1140.42011 |
| Abstract: | In this paper we investigate general properties of the coefficients in the recurrence relation satisfied by multiple orthogonal polynomials. The results include as particular cases Angelesco and Nikishin systems. |
| Sponsor: | A. I. Aptekarev, G. López, and V. A. Kalyagin were supported by grants from INTAS 03-516637 and NATO PST.CLG.979738. V. A. Kalyagin and A. I. Aptekarev were supported by grant Scientific Schools 1551.2003.1. A. I. Aptekarev was supported by grants RFBR 02-01-00564, and program N. 1 of the Mathematics Section of the RAS. V. A. Kalyagin received support from RFFI 05-01-00697. G. López and I. A. Rocha were supported by BFM 2003-06335-C03-02. |
| Review: | PeerReviewed |
| Publisher version: | http://dx.doi.org/10.1016/j.jat.2005.09.011 |
| Keywords: | Hermite-Padé orthogonal polynomials
Simultaneous orthogonality
Nikishin systems
Angelesco systems
Ratio asymptotic
Recurrence relation
Limit periodic coefficients |
| Rights: | © Elsevier |
| Appears in Collections: | DM - GAMA - Artículos de Revistas
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