Geodesic
Ratio asymptotics of Hermite–Padé polynomials for Nikishin systems
Sbornik. Mathematics, Tome 196 (2005) no. 8, pp. 1089-1107 Cet article a éte moissonné depuis la source Math-Net.Ru

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The existence of ratio asymptotics is proved for a sequence of multiple orthogonal polynomials with orthogonality relations distributed among a system of $m$ finite Borel measures with support on a bounded interval of the real line which form a so-called Nikishin system. For $m=1$ this result reduces to Rakhmanov's celebrated theorem on the ratio asymptotics for orthogonal polynomials on the real line. 
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     title = {Ratio asymptotics of {Hermite{\textendash}Pad\'e} polynomials for {Nikishin} systems},
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A. I. Aptekarev; G. López Lagomasino; I. Alvarez Rocha. Ratio asymptotics of Hermite–Padé polynomials for Nikishin systems. Sbornik. Mathematics, Tome 196 (2005) no. 8, pp. 1089-1107. http://geodesic.mathdoc.fr/item/SM_2005_196_8_a0/

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