Strong Asymptotics of Hermite-Pad\'e Approximants for Angelesco Systems
Classical Analysis and ODEs
2019-08-15 v1
Abstract
In this work type II Hermite-Pad\'e approximants for a vector of Cauchy transforms of smooth Jacobi-type densities are considered. It is assumed that densities are supported on mutually disjoint intervals (an Angelesco system with complex weights). The formulae of strong asymptotics are derived for any ray sequence of multi-indices.
Keywords
Cite
@article{arxiv.1507.07596,
title = {Strong Asymptotics of Hermite-Pad\'e Approximants for Angelesco Systems},
author = {Maxim L. Yattselev},
journal= {arXiv preprint arXiv:1507.07596},
year = {2019}
}
Comments
40 pages