DLMF:3.11.E6 (Q1447)

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DLMF:3.11.E6
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    Statements

    test
    T n ⁡ ( x ) = cos ⁡ ( n ⁢ arccos ⁡ x ) , Chebyshev-polynomial-first-kind-T 𝑛 𝑥 𝑛 𝑥 {\displaystyle{\displaystyle T_{n}\left(x\right)=\cos\left(n\operatorname{% arccos}x\right),}}
    0 references
    DLMF id
    DLMF:3.11.E6
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    constraint
    - 1 ≤ x ≤ 1 1 𝑥 1 {\displaystyle{\displaystyle-1\leq x\leq 1}}
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    Symbols used
    Q11207
    test
    T n ⁡ ( x ) Chebyshev-polynomial-first-kind-T 𝑛 𝑥 {\displaystyle{\displaystyle T_{\NVar{n}}\left(\NVar{x}\right)}}
    xml-id
    C18.S3.T1.t1.r4.m2adec
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    cosine function
    test
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2adec
    0 references
     
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