Strong Asymptotics of Multiple Orthogonal Polynomials for Angelesco Systems. Part I: Non-Marginal Directions
Classical Analysis and ODEs
2024-04-23 v1
Abstract
In this work, we establish strong asymptotics of multiple orthogonal polynomials of the second type for Angelesco systems with measures that satisfy Szeg\H{o} conditions. We consider multi-indices that converge to infinity in the non-marginal directions.
Keywords
Cite
@article{arxiv.2404.14391,
title = {Strong Asymptotics of Multiple Orthogonal Polynomials for Angelesco Systems. Part I: Non-Marginal Directions},
author = {A. I. Aptekarev and S. A. Denisov and M. L. Yattselev},
journal= {arXiv preprint arXiv:2404.14391},
year = {2024}
}