DLMF:1.13.E13 (Q479)

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DLMF:1.13.E13
No description defined

    Statements

    Defining formula
    w ⁢ ( z ) = W ⁢ ( z ) ⁢ exp ⁡ ( - 1 2 ⁢ ∫ f ⁢ ( z ) ⁢ d z ) 𝑤 𝑧 𝑊 𝑧 1 2 𝑓 𝑧 𝑧 {\displaystyle{\displaystyle w(z)=W(z)\exp\left(-\tfrac{1}{2}\int f(z)\mathrm{% d}z\right)}}
    0 references
    DLMF id
    DLMF:1.13.E13
    0 references
    Symbols used
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1abdec
    0 references
    exponential function
    Defining formula
    exp ⁡ z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}}
    xml-id
    C4.S2.E19.m2adec
    0 references
    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3abdec
    0 references
    Q10760
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C1.S1.XMD1.m1jdec
    0 references
    Q10858
    Defining formula
    w ⁢ ( z ) 𝑤 𝑧 {\displaystyle{\displaystyle w(z)}}
    xml-id
    C1.S13.XMD1.m1cdec
    0 references
    Q10859
    Defining formula
    f ⁢ ( z ) 𝑓 𝑧 {\displaystyle{\displaystyle f(z)}}
    xml-id
    C1.S13.XMD2.m1ddec
    0 references
    Q10877
    Defining formula
    W ⁢ ( ξ ) 𝑊 𝜉 {\displaystyle{\displaystyle W(\xi)}}
    xml-id
    C1.S13.XMD21.m1bdec
    0 references
     
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