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DLMF:7.2.E5 - MaRDI portal

DLMF:7.2.E5 (Q3024)

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DLMF:7.2.E5
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    Statements

    DLMF defining formula
    F ⁑ ( z ) = e - z 2 ⁒ ∫ 0 z e t 2 ⁒ d t . Dawsons-integral 𝑧 superscript 𝑒 superscript 𝑧 2 superscript subscript 0 𝑧 superscript 𝑒 superscript 𝑑 2 𝑑 {\displaystyle{\displaystyle F\left(z\right)=e^{-z^{2}}\int_{0}^{z}e^{t^{2}}% \mathrm{d}t.}}
    0 references
    Symbols used
    differential of x
    DLMF defining formula
    d x π‘₯ {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1acdec
    0 references
    base of natural logarithm
    DLMF defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2acdec
    0 references
    integral
    DLMF defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3acdec
    0 references
    complex variable
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C7.S1.XMD2.m1ddec
    0 references

    Identifiers

     
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