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3.5.E43 - MaRDI portal

3.5.E43 (Q1270)

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3.5.E43
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    Statements

    DLMF 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},}}
    0 references
    constraint
    λ → ∞ → 𝜆 {\displaystyle{\displaystyle\lambda\to\infty}}
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    Symbols used
    asymptotic equality
    DLMF 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
    DLMF defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2aidec
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    complementary error function
    DLMF defining formula
    erfc ⁡ z complementary-error-function 𝑧 {\displaystyle{\displaystyle\operatorname{erfc}\NVar{z}}}
    xml-id
    C7.S2.E2.m2aadec
    0 references
    base of natural logarithm
    DLMF defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2ahdec
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    parameter
    DLMF defining formula
    λ 𝜆 {\displaystyle{\displaystyle\lambda}}
    xml-id
    C3.S5.XMD21.m1adec
    0 references

    Identifiers

     
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