DLMF:18.18.E6 (Q5796)

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DLMF:18.18.E6
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    Statements

    Defining formula
    f ⁢ ( x ) = ∑ n = 0 ∞ d n ⁢ H n ⁡ ( x ) , 𝑓 𝑥 superscript subscript 𝑛 0 subscript 𝑑 𝑛 Hermite-polynomial-H 𝑛 𝑥 {\displaystyle{\displaystyle f(x)=\sum_{n=0}^{\infty}d_{n}H_{n}\left(x\right),}}
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    DLMF id
    DLMF:18.18.E6
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    constraint
    - ∞ < x < ∞ 𝑥 {\displaystyle{\displaystyle-\infty<x<\infty}}
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