DLMF:7.7.E4 (Q2374)

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DLMF:7.7.E4
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    Statements

    Defining formula
    ∫ 0 ∞ e - a ⁢ t t + z 2 ⁢ d t = π a ⁢ e a ⁢ z 2 ⁢ erfc ⁡ ( a ⁢ z ) , superscript subscript 0 superscript 𝑒 𝑎 𝑡 𝑡 superscript 𝑧 2 𝑡 𝜋 𝑎 superscript 𝑒 𝑎 superscript 𝑧 2 complementary-error-function 𝑎 𝑧 {\displaystyle{\displaystyle\int_{0}^{\infty}\frac{e^{-at}}{\sqrt{t+z^{2}}}% \mathrm{d}t=\sqrt{\frac{\pi}{a}}e^{az^{2}}\operatorname{erfc}\left(\sqrt{a}z% \right),}}
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    DLMF id
    DLMF:7.7.E4
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