Global asymptotics of the discrete Chebyshev polynomials
نویسندگان
چکیده
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 → ∞, 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.
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ورودعنوان ژورنال:
- Asymptotic Analysis
دوره 82 شماره
صفحات -
تاریخ انتشار 2013