DLMF:18.5.E2 (Q5510)

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DLMF:18.5.E2
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    Statements

    Defining formula
    U n ⁡ ( x ) = ( sin ⁡ ( n + 1 ) ⁢ θ ) / sin ⁡ θ , Chebyshev-polynomial-second-kind-U 𝑛 𝑥 𝑛 1 𝜃 𝜃 {\displaystyle{\displaystyle U_{n}\left(x\right)=\ifrac{(\sin(n+1)\theta)}{% \sin\theta},}}
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    DLMF id
    DLMF:18.5.E2
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    Symbols used
    Q11661
    Defining formula
    U n ⁡ ( x ) Chebyshev-polynomial-second-kind-U 𝑛 𝑥 {\displaystyle{\displaystyle U_{\NVar{n}}\left(\NVar{x}\right)}}
    xml-id
    C18.S3.T1.t1.r5.m2adec
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    sine function
    Defining formula
    sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}
    xml-id
    C4.S14.E1.m2adec
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    Q11726
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1adec
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    Q11727
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C18.S2.XMD3.m1adec
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