DLMF:7.19.E10 (Q2477)

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DLMF:7.19.E10
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    Statements

    Defining formula
    𝖴 ⁡ ( u a , 1 4 ⁢ a 2 ) = a ⁢ ∫ 0 ∞ e - a ⁢ t - 1 4 ⁢ t 2 ⁢ cos ⁡ ( u ⁢ t ) ⁢ d t , Voigt-U 𝑢 𝑎 1 4 superscript 𝑎 2 𝑎 superscript subscript 0 superscript 𝑒 𝑎 𝑡 1 4 superscript 𝑡 2 𝑢 𝑡 𝑡 {\displaystyle{\displaystyle\mathsf{U}\left(\frac{u}{a},\frac{1}{4a^{2}}\right% )=a\int_{0}^{\infty}e^{-at-\frac{1}{4}t^{2}}\cos\left(ut\right)\mathrm{d}t,}}
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    DLMF id
    DLMF:7.19.E10
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