DLMF:18.5.E1 (Q5509)

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DLMF:18.5.E1
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    Statements

    Defining formula
    T n ⁡ ( x ) = cos ⁡ ( n ⁢ θ ) , Chebyshev-polynomial-first-kind-T 𝑛 𝑥 𝑛 𝜃 {\displaystyle{\displaystyle T_{n}\left(x\right)=\cos\left(n\theta\right),}}
    0 references
    DLMF id
    DLMF:18.5.E1
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    Symbols used
    Q11207
    Defining formula
    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
    Defining formula
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2adec
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    Q11726
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1dec
    0 references
    Q11727
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C18.S2.XMD3.m1dec
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