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On the convergence of type I Hermite-Padé approximants for rational perturbations of a Nikishin system

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2014-01-20
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Elsevier
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Abstract
We study the convergence of type I Hermite-Padé approximation for a class of meromorphic functions obtained by adding a vector of rational functions with real coefficients to a Nikishin system of functions.
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Multiple orthogonal polynomials, Nikishin systems, Type I Hermite-Padé approximation
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Journal of Computational and Applied Mathematics, 2015, v. 284, pp. 216-227.