Global Asymptotics of the Discrete Chebyshev Polynomials
Classical Analysis and ODEs
2012-07-12 v1 Complex Variables
Abstract
In this paper, we study the asymptotics of the discrete Chebyshev polynomials tn (z, N) as the degree grows to infinity. Global asymptotic formulas are obtained as n \rightarrow \infty, when the ratio of the parameters n/N = c is a constant in the interval (0, 1). Our method is based on a modified version of the Riemann-Hilbert approach first introduced by Deift and Zhou.
Keywords
Cite
@article{arxiv.1207.2536,
title = {Global Asymptotics of the Discrete Chebyshev Polynomials},
author = {Y. Lin and R. Wong},
journal= {arXiv preprint arXiv:1207.2536},
year = {2012}
}