DLMF:7.14.E5 (Q2437)

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DLMF:7.14.E5
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    Statements

    Defining formula
    ∫ 0 ∞ e - a ⁢ t ⁢ C ⁡ ( t ) ⁢ d t = 1 a ⁢ f ⁡ ( a π ) , superscript subscript 0 superscript 𝑒 𝑎 𝑡 Fresnel-cosine-integral 𝑡 𝑡 1 𝑎 Fresnel-auxilliary-function-f 𝑎 𝜋 {\displaystyle{\displaystyle\int_{0}^{\infty}e^{-at}C\left(t\right)\mathrm{d}t% =\frac{1}{a}\mathrm{f}\left(\frac{a}{\pi}\right),}}
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    DLMF id
    DLMF:7.14.E5
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    constraint
    ℜ ⁡ a > 0 𝑎 0 {\displaystyle{\displaystyle\Re a>0}}
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