On the convergence of multi-level Hermite-Padé approximants for a class of meromorphic functions

González Ricardo, Luis Giraldo; López Lagomasino, Guillermo; Medina Peralta, Sergio

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On the convergence of multi-level Hermite-Padé approximants for a class of meromorphic functions

Author(s): González Ricardo, Luis Giraldo; López Lagomasino, Guillermo; Medina Peralta, Sergio

Publisher: Springer Nature

Issued date: 2020-10

Citation: Ricardo González, L. G., Lagomasino, G. L. & Peralta, S. M. (2020). On the Convergence of Multi-Level Hermite–Padé Approximants for a Class of Meromorphic Functions. Mediterranean Journal of Mathematics, 17(5), 149.

ISSN: 1660-5446

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

xmlui.dri2xhtml.METS-1.0.item-contributor-funder: Ministerio de Ciencia, Innovación y Universidades (España)

Project: Gobierno de España. PGC2018-096504-B-C33

Keywords: Nikishin system , Multiple orthogonal polynomials , Hermite-Padé approximation

Embargo terms: 2021-10-01

URI: http://hdl.handle.net/10016/32647

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 c [+]

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