DLMF:8.18.E15 (Q2683)

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DLMF:8.18.E15
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    Statements

    Defining formula
    μ ⁢ ln ⁡ ζ - ζ = ln ⁡ x + μ ⁢ ln ⁡ ( 1 - x ) + ( 1 + μ ) ⁢ ln ⁡ ( 1 + μ ) - μ , 𝜇 𝜁 𝜁 𝑥 𝜇 1 𝑥 1 𝜇 1 𝜇 𝜇 {\displaystyle{\displaystyle\mu\ln\zeta-\zeta=\ln x+\mu\ln\left(1-x\right)+(1+% \mu)\ln\left(1+\mu\right)-\mu,}}
    0 references
    DLMF id
    DLMF:8.18.E15
    0 references
    Symbols used
    principal branch of logarithm function
    Defining formula
    ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    xml-id
    C4.S2.E2.m2abdec
    0 references
    Q11362
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C8.S17.XMD3.m1jdec
    0 references
    Q11374
    Defining formula
    μ 𝜇 {\displaystyle{\displaystyle\mu}}
    xml-id
    C8.S18.XMD6.m1adec
    0 references
     
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