DLMF:18.14.E13 (Q5676)

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DLMF:18.14.E13
No description defined

    Statements

    Defining formula
    ( H n ⁡ ( x ) ) 2 ≥ H n - 1 ⁡ ( x ) ⁢ H n + 1 ⁡ ( x ) , superscript Hermite-polynomial-H 𝑛 𝑥 2 Hermite-polynomial-H 𝑛 1 𝑥 Hermite-polynomial-H 𝑛 1 𝑥 {\displaystyle{\displaystyle(H_{n}\left(x\right))^{2}\geq H_{n-1}\left(x\right% )H_{n+1}\left(x\right),}}
    0 references
    DLMF id
    DLMF:18.14.E13
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    constraint
    - ∞ < x < ∞ 𝑥 {\displaystyle{\displaystyle-\infty<x<\infty}}
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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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    Q11726
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1jdec
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    Q11727
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C18.S2.XMD3.m1ldec
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