DLMF:32.11.E37 (Q9472)

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DLMF:32.11.E37
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    Statements

    Defining formula
    μ = 1 + ( 2 ⁢ i ⁢ h ⁢ π 3 / 2 ⁢ exp ⁡ ( - i ⁢ π ⁢ ν ) / Γ ⁡ ( - ν ) ) , 𝜇 1 2 𝑖 ℎ superscript 𝜋 3 2 𝑖 𝜋 𝜈 Euler-Gamma 𝜈 {\displaystyle{\displaystyle\mu=1+\left(\ifrac{2ih\pi^{3/2}\exp\left(-i\pi\nu% \right)}{\Gamma\left(-\nu\right)}\right),}}
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    DLMF id
    DLMF:32.11.E37
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    Symbols used
    gamma function
    Defining formula
    Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    xml-id
    C5.S2.E1.m2aidec
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    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2aldec
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    exponential function
    Defining formula
    exp ⁡ z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}}
    xml-id
    C4.S2.E19.m2abdec
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    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2afdec
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    Q12648
    Defining formula
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C32.S11.XMD19.m1cdec
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