DLMF:18.9.E21 (Q5617)

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DLMF:18.9.E21
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    Statements

    test
    d d x ⁡ T n ⁡ ( x ) = n ⁢ U n - 1 ⁡ ( x ) , derivative 𝑥 Chebyshev-polynomial-first-kind-T 𝑛 𝑥 𝑛 Chebyshev-polynomial-second-kind-U 𝑛 1 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}}{\mathrm{d}x}T_{n}\left(x\right)=% nU_{n-1}\left(x\right),}}
    0 references
    DLMF id
    DLMF:18.9.E21
    0 references
    Symbols used
    Q11207
    test
    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.m2aedec
    0 references
     
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