DLMF:3.5.E43 (Q1299)

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DLMF:3.5.E43
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    Statements

    Defining formula
    erfc ⁡ λ ∼ e - λ 2 π ⁢ λ , asymptotically-equals complementary-error-function 𝜆 superscript 𝑒 superscript 𝜆 2 𝜆 {\displaystyle{\displaystyle\operatorname{erfc}\lambda\sim\frac{e^{-\lambda^{2% }}}{\sqrt{\pi}\lambda},}}
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    DLMF id
    DLMF:3.5.E43
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    constraint
    λ → ∞ → 𝜆 {\displaystyle{\displaystyle\lambda\to\infty}}
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    Symbols used
    asymptotic equality
    Defining formula
    ∼ asymptotically-equals {\displaystyle{\displaystyle\sim}}
    xml-id
    C2.S1.E1.m2adec
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    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2aidec
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    complementary error function
    Defining formula
    erfc ⁡ z complementary-error-function 𝑧 {\displaystyle{\displaystyle\operatorname{erfc}\NVar{z}}}
    xml-id
    C7.S2.E2.m2aadec
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