DLMF:7.2.E12 (Q2334)

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DLMF:7.2.E12
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    Statements

    Defining formula
    G ⁡ ( z ) = ∫ 0 ∞ e - t 2 t + z ⁢ d t , Goodwin-Staton-integral 𝑧 superscript subscript 0 superscript 𝑒 superscript 𝑡 2 𝑡 𝑧 𝑡 {\displaystyle{\displaystyle G\left(z\right)=\int_{0}^{\infty}\frac{e^{-t^{2}}% }{t+z}\mathrm{d}t,}}
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    DLMF id
    DLMF:7.2.E12
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    constraint
    | ph ⁡ z | < π phase 𝑧 𝜋 {\displaystyle{\displaystyle|\operatorname{ph}z|<\pi}}
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    Symbols used
    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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    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1agdec
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    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2aedec
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    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3agdec
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    Q10817
    Defining formula
    ph phase {\displaystyle{\displaystyle\operatorname{ph}}}
    xml-id
    C1.S9.E7.m1aadec
    0 references
     
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