DLMF:3.11.E13 (Q1454)

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DLMF:3.11.E13
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    Statements

    Defining formula
    ϵ n ⁢ ( x ) = d n + 1 ⁢ T n + 1 ⁡ ( 2 ⁢ x - a - b b - a ) , subscript italic-ϵ 𝑛 𝑥 subscript 𝑑 𝑛 1 Chebyshev-polynomial-first-kind-T 𝑛 1 2 𝑥 𝑎 𝑏 𝑏 𝑎 {\displaystyle{\displaystyle\epsilon_{n}(x)=d_{n+1}T_{n+1}\left(\frac{2x-a-b}{% b-a}\right),}}
    0 references
    DLMF id
    DLMF:3.11.E13
    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.m2afdec
    0 references
    Q11206
    Defining formula
    ϵ n ⁢ ( x ) subscript italic-ϵ 𝑛 𝑥 {\displaystyle{\displaystyle\epsilon_{n}(x)}}
    xml-id
    C3.S11.XMD2.m1adec
    0 references
     
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