Riemann-Hilbert analysis for a Nikishin system
Classical Analysis and ODEs
2018-12-05 v4
Abstract
In this paper we give the asymptotic behavior of type I multiple orthogonal polynomials for a Nikishin system of order two with two disjoint intervals. We use the Riemann-Hilbert problem for multiple orthogonal polynomials and the steepest descent analysis for oscillatory Riemann-Hilbert problems to obtain the asymptotic behavior in all relevant regions of the complex plane.
Cite
@article{arxiv.1612.07108,
title = {Riemann-Hilbert analysis for a Nikishin system},
author = {Guillermo López Lagomasino and Walter Van Assche},
journal= {arXiv preprint arXiv:1612.07108},
year = {2018}
}
Comments
30 pages, 7 figures