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On the convergence of multi-level Hermite-Pad\'e approximants for a class of meromorphic functions

Complex Variables 2020-01-24 v1

Abstract

The present paper deals with the convergence properties of multi-level Hermite-Pad\'e 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.

Keywords

Cite

@article{arxiv.2001.08276,
  title  = {On the convergence of multi-level Hermite-Pad\'e approximants for a class of meromorphic functions},
  author = {L. G. González Ricardo and G. López Lagomasino and S. Medina Peralta},
  journal= {arXiv preprint arXiv:2001.08276},
  year   = {2020}
}

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18 pages