DLMF:18.7.E12 (Q5580)

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DLMF:18.7.E12
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    Statements

    Defining formula
    H n ⁡ ( x ) = 2 1 2 ⁢ n ⁢ 𝐻𝑒 n ⁡ ( 2 1 2 ⁢ x ) . Hermite-polynomial-H 𝑛 𝑥 superscript 2 1 2 𝑛 Hermite-polynomial-He 𝑛 superscript 2 1 2 𝑥 {\displaystyle{\displaystyle H_{n}\left(x\right)=2^{\frac{1}{2}n}\mathit{He}_{% n}\left(2^{\frac{1}{2}}x\right).}}
    0 references
    DLMF id
    DLMF:18.7.E12
    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.m2aadec
    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.m2aadec
    0 references
    Q11726
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1kdec
    0 references
    Q11727
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C18.S2.XMD3.m1kdec
    0 references
     
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