DLMF:32.11.E22 (Q9457)

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DLMF:32.11.E22
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    Statements

    Defining formula
    ρ 2 = π - 1 ⁢ ln ⁡ ( ( 1 + | s | 2 ) / | 2 ⁢ ℑ ⁡ s | ) , superscript 𝜌 2 superscript 𝜋 1 1 superscript 𝑠 2 2 𝑠 {\displaystyle{\displaystyle\rho^{2}=\pi^{-1}\ln\left((1+|s|^{2})/|2\Im s|% \right),}}
    0 references
    DLMF id
    DLMF:32.11.E22
    0 references
    Symbols used
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2aedec
    0 references
    Q10901
    Defining formula
    ℑ ⁡ absent {\displaystyle{\displaystyle\Im}}
    xml-id
    C1.S9.E2.m2aadec
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    principal branch of logarithm function
    Defining formula
    ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    xml-id
    C4.S2.E2.m2ajdec
    0 references
    Q12642
    Defining formula
    ρ 𝜌 {\displaystyle{\displaystyle\rho}}
    xml-id
    C32.S11.XMD12.m1bdec
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    DLMF:32.11.E24
    Defining formula
    s 𝑠 {\displaystyle{\displaystyle s}}
    xml-id
    C32.S11.XMD15.m1adec
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