DLMF:3.5.E44 (Q1300)

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DLMF:3.5.E44
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    Statements

    Defining formula
    erfc ⁡ λ = 1 2 ⁢ π ⁢ i ⁢ ∫ c - i ⁢ ∞ c + i ⁢ ∞ e λ 2 ⁢ ( t - 2 ⁢ t ) ⁢ d t t , complementary-error-function 𝜆 1 2 imaginary-unit superscript subscript 𝑐 imaginary-unit 𝑐 imaginary-unit superscript 𝑒 superscript 𝜆 2 𝑡 2 𝑡 𝑡 𝑡 {\displaystyle{\displaystyle\operatorname{erfc}\lambda=\frac{1}{2\pi\mathrm{i}% }\int_{c-\mathrm{i}\infty}^{c+\mathrm{i}\infty}e^{\lambda^{2}(t-2\sqrt{t})}% \frac{\mathrm{d}t}{t},}}
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    DLMF id
    DLMF:3.5.E44
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    constraint
    c > 0 𝑐 0 {\displaystyle{\displaystyle c>0}}
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