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DLMF:7.11.E3 - MaRDI portal

DLMF:7.11.E3 (Q3103)

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DLMF:7.11.E3
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    Statements

    DLMF defining formula
    erfc ⁡ z = z π ⁢ E 1 2 ⁡ ( z 2 ) . complementary-error-function 𝑧 𝑧 𝜋 exponential-integral-En 1 2 superscript 𝑧 2 {\displaystyle{\displaystyle\operatorname{erfc}z=\frac{z}{\sqrt{\pi}}E_{\frac{% 1}{2}}\left(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.m2abdec
    0 references
    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
    generalized exponential integral
    DLMF defining formula
    E p ⁡ ( z ) exponential-integral-En 𝑝 𝑧 {\displaystyle{\displaystyle E_{\NVar{p}}\left(\NVar{z}\right)}}
    xml-id
    C8.S19.E1.m2adec
    0 references
    complex variable
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C7.S1.XMD2.m1bdec
    0 references

    Identifiers

     
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