On the convergence of multi-level Hermite-Padé approximants
arXiv:2106.11370 · doi:10.1016/j.physd.2022.133487
Abstract
In the present paper we prove a Stieltjes type theorem on the convergence of a sequence of rational functions associated with a mixed type Hermite-Padé approximation problem of a Nikishin system of functions and analyze the ratio asymptotic of the corresponding Hermite-Padé polynomials.
24 pages