DLMF:18.7.E25 (Q5593)

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DLMF:18.7.E25
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    Statements

    test
    lim λ → 0 ⁡ 1 λ ⁢ C n ( λ ) ⁡ ( x ) = 2 n ⁢ T n ⁡ ( x ) , subscript → 𝜆 0 1 𝜆 ultraspherical-Gegenbauer-polynomial 𝜆 𝑛 𝑥 2 𝑛 Chebyshev-polynomial-first-kind-T 𝑛 𝑥 {\displaystyle{\displaystyle\lim_{\lambda\to 0}\frac{1}{\lambda}C^{(\lambda)}_% {n}\left(x\right)=\frac{2}{n}T_{n}\left(x\right),}}
    0 references
    DLMF id
    DLMF:18.7.E25
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    constraint
    n ≥ 1 𝑛 1 {\displaystyle{\displaystyle n\geq 1}}
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