DLMF:32.11.E23 (Q9458)

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DLMF:32.11.E23
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    Statements

    Defining formula
    θ = - 3 4 ⁢ π - 7 2 ⁢ ρ 2 ⁢ ln ⁡ 2 + ph ⁡ ( 1 + s 2 ) + ph ⁡ Γ ⁡ ( i ⁢ ρ 2 ) , 𝜃 3 4 𝜋 7 2 superscript 𝜌 2 2 phase 1 superscript 𝑠 2 phase Euler-Gamma 𝑖 superscript 𝜌 2 {\displaystyle{\displaystyle\theta=-\tfrac{3}{4}\pi-\tfrac{7}{2}\rho^{2}\ln{2}% +\operatorname{ph}\left(1+s^{2}\right)+\operatorname{ph}\Gamma\left(i\rho^{2}% \right),}}
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    DLMF id
    DLMF:32.11.E23
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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.m2acdec
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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.m2afdec
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    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2acdec
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