DLMF:18.7.E8 (Q5576)

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DLMF:18.7.E8
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    Statements

    Defining formula
    U n * ⁡ ( x ) = U n ⁡ ( 2 ⁢ x - 1 ) . shifted-Chebyshev-polynomial-second-kind-U-star 𝑛 𝑥 Chebyshev-polynomial-second-kind-U 𝑛 2 𝑥 1 {\displaystyle{\displaystyle U^{*}_{n}\left(x\right)=U_{n}\left(2x-1\right).}}
    0 references
    DLMF id
    DLMF:18.7.E8
    0 references
    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.m2aadec
    0 references
    Q11748
    Defining formula
    U n * ⁡ ( x ) shifted-Chebyshev-polynomial-second-kind-U-star 𝑛 𝑥 {\displaystyle{\displaystyle U^{*}_{\NVar{n}}\left(\NVar{x}\right)}}
    xml-id
    C18.S3.T1.t1.r9.m2adec
    0 references
    Q11726
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1gdec
    0 references
    Q11727
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C18.S2.XMD3.m1gdec
    0 references
     
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