DLMF:18.7.E7 (Q5575)

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DLMF:18.7.E7
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    Statements

    Defining formula
    T n * ⁡ ( x ) = T n ⁡ ( 2 ⁢ x - 1 ) , shifted-Chebyshev-polynomial-first-kind-T-star 𝑛 𝑥 Chebyshev-polynomial-first-kind-T 𝑛 2 𝑥 1 {\displaystyle{\displaystyle T^{*}_{n}\left(x\right)=T_{n}\left(2x-1\right),}}
    0 references
    DLMF id
    DLMF:18.7.E7
    0 references
    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.m2aadec
    0 references
    Q11747
    Defining formula
    T n * ⁡ ( x ) shifted-Chebyshev-polynomial-first-kind-T-star 𝑛 𝑥 {\displaystyle{\displaystyle T^{*}_{\NVar{n}}\left(\NVar{x}\right)}}
    xml-id
    C18.S3.T1.t1.r8.m2adec
    0 references
    Q11726
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1fdec
    0 references
    Q11727
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C18.S2.XMD3.m1fdec
    0 references
     
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