Aptekarev, A. I.Kalyagin, V.López Lagomasino, GuillermoÁlvarez Rocha, Ignacio2010-01-072010-01-072006-03Journal of Approximation Theory, 2006, vol. 139, n. 1-2, p. 346-3700021-9045https://hdl.handle.net/10016/628825 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.application/pdfeng© ElsevierHermite-Padé orthogonal polynomialsSimultaneous orthogonalityNikishin systemsAngelesco systemsRatio asymptoticRecurrence relationLimit periodic coefficientsresearch articleMatemáticas10.1016/j.jat.2005.09.011open access