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

2020/01/22 by L. G. González Ricardo, Ricardo, L. G. González, G. López Lagomasino +3
Mathematics · #30E10 #41A21 #42C05 #Complex Variables (math.CV) #FOS: Mathematics #Fractional Differential Equations Solutions #Iterative Methods for Nonlinear Equations #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.2001.08276

openalex publication_date 2020/01/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The present paper deals with the convergence properties of multi-level\nHermite-Pad 'e approximants for a class of meromorphic functions given by\nrational perturbations with real coefficients of a Nikishin system of\nfunctions, and study the zero location of the corresponding multiple orthogonal\npolynomials.\n

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