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On the Convergence of Multi-Level Hermite–Padé Approximants for a Class of Meromorphic Functions

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Abstract

The present paper deals with the convergence properties of multi-level Hermite–Padé approximants for a class of meromorphic functions given by rational perturbations with real coefficients of a Nikishin system of functions, and study the zero location of the corresponding multiple orthogonal polynomials.

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Authors and Affiliations

  1. Department of Mathematics, Universidad Carlos III de Madrid, Avda. Universidad, 30, CP-28911, Leganés, Madrid, Spain

    L. G. Ricardo González & G. López Lagomasino

  2. Department of Mathematics and Statistics, Florida International University, DM 430, 11200 SW 8th Street, Miami, FL, 33199, USA

    S. Medina Peralta

Authors
  1. L. G. Ricardo González
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  2. G. López Lagomasino
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  3. S. Medina Peralta
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Correspondence to G. López Lagomasino.

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G. L. Lagomasino was supported by research Grant PGC2018-096504-B-C33 of Ministerio de Ciencia, Innovación y Universidades, Spain.

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Ricardo González, L.G., Lagomasino, G.L. & Peralta, S.M. On the Convergence of Multi-Level Hermite–Padé Approximants for a Class of Meromorphic Functions. Mediterr. J. Math. 17, 149 (2020). https://doi.org/10.1007/s00009-020-01588-2

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  • DOI: https://doi.org/10.1007/s00009-020-01588-2

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