On the convergence of multi-level Hermite-Padé approximants for a class of meromorphic functions
arXiv:2001.08276
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.
18 pages