DLMF:7.7.E8 (Q2378)

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DLMF:7.7.E8
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    Statements

    test
    ∫ 0 ∞ e - a 2 ⁢ t 2 - ( b 2 / t 2 ) ⁢ d t = π 2 ⁢ a ⁢ e - 2 ⁢ a ⁢ b , superscript subscript 0 superscript 𝑒 superscript 𝑎 2 superscript 𝑡 2 superscript 𝑏 2 superscript 𝑡 2 𝑡 𝜋 2 𝑎 superscript 𝑒 2 𝑎 𝑏 {\displaystyle{\displaystyle\int_{0}^{\infty}e^{-a^{2}t^{2}-(b^{2}/t^{2})}% \mathrm{d}t=\frac{\sqrt{\pi}}{2a}e^{-2ab},}}
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    DLMF id
    DLMF:7.7.E8
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