DLMF:8.4.E3 (Q2497)

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DLMF:8.4.E3
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    Statements

    Defining formula
    γ * ⁡ ( 1 2 , - z 2 ) = 2 ⁢ e z 2 z ⁢ π ⁢ F ⁡ ( z ) . incomplete-gamma-star 1 2 superscript 𝑧 2 2 superscript 𝑒 superscript 𝑧 2 𝑧 𝜋 Dawsons-integral 𝑧 {\displaystyle{\displaystyle\gamma^{*}\left(\tfrac{1}{2},-z^{2}\right)=\frac{2% e^{z^{2}}}{z\sqrt{\pi}}F\left(z\right).}}
    0 references
    DLMF id
    DLMF:8.4.E3
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    Symbols used
    Dawson’s integral
    Defining formula
    F ⁡ ( z ) Dawsons-integral 𝑧 {\displaystyle{\displaystyle F\left(\NVar{z}\right)}}
    xml-id
    C7.S2.E5.m2adec
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