On the limit behavior of recurrence coefficients for multiple orthogonal polynomials

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 1140.42011In 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.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.Publicad

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