Logarithmic asymptotic of multi-level Hermite-Pad\'e polynomials
Classical Analysis and ODEs
2020-02-18 v1 Complex Variables
Abstract
We study the logarihtnmic asymptotic of multiple orthogonal polynomials arising in a mixed type Hermite-Pad\'e approximation problem associated with the rational perturbation of a Nikishin system of functions. The formulas obtained allow to give exact estimates of the rate of convergence of the corresponding Hermite-Pad\'e approximants.
Cite
@article{arxiv.2002.06194,
title = {Logarithmic asymptotic of multi-level Hermite-Pad\'e polynomials},
author = {L. G. González Ricardo and G. López Lagomasino and S. Medina Peralta},
journal= {arXiv preprint arXiv:2002.06194},
year = {2020}
}
Comments
17 pages. arXiv admin note: text overlap with arXiv:1904.00126