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DLMF:7.11.E2 - MaRDI portal

DLMF:7.11.E2 (Q3102)

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DLMF:7.11.E2
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    Statements

    DLMF defining formula
    erfc ⁡ z = 1 π ⁢ Γ ⁡ ( 1 2 , z 2 ) , complementary-error-function 𝑧 1 𝜋 incomplete-Gamma 1 2 superscript 𝑧 2 {\displaystyle{\displaystyle\operatorname{erfc}z=\frac{1}{\sqrt{\pi}}\Gamma% \left(\tfrac{1}{2},z^{2}\right),}}
    0 references
    Symbols used
    the ratio of the circumference of a circle to its diameter
    DLMF defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2aadec
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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.m2adec
    0 references
    incomplete gamma function
    DLMF defining formula
    Γ ⁡ ( a , z ) incomplete-Gamma 𝑎 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{a},\NVar{z}\right)}}
    xml-id
    C8.S2.E2.m2adec
    0 references
    complex variable
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C7.S1.XMD2.m1adec
    0 references

    Identifiers

     
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