DLMF:18.7.E11 (Q5579)

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DLMF:18.7.E11
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    Statements

    Defining formula
    𝐻𝑒 n ⁡ ( x ) = 2 - 1 2 ⁢ n ⁢ H n ⁡ ( 2 - 1 2 ⁢ x ) , Hermite-polynomial-He 𝑛 𝑥 superscript 2 1 2 𝑛 Hermite-polynomial-H 𝑛 superscript 2 1 2 𝑥 {\displaystyle{\displaystyle\mathit{He}_{n}\left(x\right)=2^{-\frac{1}{2}n}H_{% n}\left(2^{-\frac{1}{2}}x\right),}}
    0 references
    DLMF id
    DLMF:18.7.E11
    0 references
    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.m2adec
    0 references
    Q11525
    Defining formula
    𝐻𝑒 n ⁡ ( x ) Hermite-polynomial-He 𝑛 𝑥 {\displaystyle{\displaystyle\mathit{He}_{\NVar{n}}\left(\NVar{x}\right)}}
    xml-id
    C18.S3.T1.t1.r14.m2adec
    0 references
    Q11726
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1jdec
    0 references
    Q11727
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C18.S2.XMD3.m1jdec
    0 references
     
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