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On the limit behavior of recurrence coefficients for multiple orthogonal polynomials

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URI: http://hdl.handle.net/10016/6288
ISSN: 0021-9045
DOI: 10.1016/j.jat.2005.09.011
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limit_lagomasino_jat_2006_ps.pdf (228.07 KB)
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2006-03
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Elsevier
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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.
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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
Keywords
Hermite-Padé orthogonal polynomials, Simultaneous orthogonality, Nikishin systems, Angelesco systems, Ratio asymptotic, Recurrence relation, Limit periodic coefficients
Bibliographic citation
Journal of Approximation Theory, 2006, vol. 139, n. 1-2, p. 346-370
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