DLMF:18.9.E25 (Q5621)

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DLMF:18.9.E25
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    Statements

    Defining formula
    d d x ⁡ H n ⁡ ( x ) = 2 ⁢ n ⁢ H n - 1 ⁡ ( x ) , derivative 𝑥 Hermite-polynomial-H 𝑛 𝑥 2 𝑛 Hermite-polynomial-H 𝑛 1 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}}{\mathrm{d}x}H_{n}\left(x\right)=% 2nH_{n-1}\left(x\right),}}
    0 references
    DLMF id
    DLMF:18.9.E25
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    Symbols used
    Q10922
    Defining formula
    H n ⁡ ( x ) Hermite-polynomial-H 𝑛 𝑥 {\displaystyle{\displaystyle H_{\NVar{n}}\left(\NVar{x}\right)}}
    xml-id
    C18.S3.T1.t1.r13.m2aadec
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    derivative of $$f$$ with respect to $$x$$
    Defining formula
    d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}
    xml-id
    C1.S4.E4.m2ajdec
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