DLMF:14.15.E7 (Q4853)

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DLMF:14.15.E7
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    Statements

    Defining formula
    ρ = 1 2 ⁢ ln ⁡ ( 1 + p 1 - p ) + 1 2 ⁢ α ⁢ ln ⁡ ( 1 - α ⁢ p 1 + α ⁢ p ) . 𝜌 1 2 1 𝑝 1 𝑝 1 2 𝛼 1 𝛼 𝑝 1 𝛼 𝑝 {\displaystyle{\displaystyle\rho=\frac{1}{2}\ln\left(\frac{1+p}{1-p}\right)+% \frac{1}{2}\alpha\ln\left(\frac{1-\alpha p}{1+\alpha p}\right).}}
    0 references
    DLMF id
    DLMF:14.15.E7
    0 references
    Symbols used
    principal branch of logarithm function
    Defining formula
    ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    xml-id
    C4.S2.E2.m2adec
    0 references
    Q11611
    Defining formula
    α 𝛼 {\displaystyle{\displaystyle\alpha}}
    xml-id
    C14.S15.XMD3.m1cdec
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    Q11612
    Defining formula
    p 𝑝 {\displaystyle{\displaystyle p}}
    xml-id
    C14.S15.XMD4.m1bdec
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    Q11613
    Defining formula
    ρ 𝜌 {\displaystyle{\displaystyle\rho}}
    xml-id
    C14.S15.XMD5.m1adec
    0 references
     
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