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• W2085101032 abstract "In this paper, we study the asymptotics of the Krawtchouk polynomials $$ K^{N}_{n} {left( {z;p,q} right)} $$ as the degree n becomes large. Asymptotic expansions are obtained when the ratio of the parameters $$ frac{n} {N} $$ tends to a limit c ∈ (0, 1) as n → ∞. The results are globally valid in one or two regions in the complex z-plane depending on the values of c and p; in particular, they are valid in regions containing the interval on which these polynomials are orthogonal. Our method is based on the Riemann-Hilbert approach introduced by Deift and Zhou." @default.
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• W2085101032 date "2007-01-01" @default.
• W2085101032 modified "2023-09-28" @default.
• W2085101032 title "Global Asymptotics of Krawtchouk Polynomials – a Riemann-Hilbert Approach*" @default.
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• W2085101032 doi "https://doi.org/10.1007/s11401-006-0195-3" @default.
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