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

Published 22 Jan 2020 in math.CV | (2001.08276v1)

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.

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