DLMF:4.8.E8 (Q1599)

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DLMF:4.8.E8
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    Statements

    Defining formula
    Ln ⁡ ( exp ⁡ z ) = z + 2 ⁢ k ⁢ π ⁢ i , multivalued-natural-logarithm 𝑧 𝑧 2 𝑘 𝜋 imaginary-unit {\displaystyle{\displaystyle\operatorname{Ln}\left(\exp z\right)=z+2k\pi% \mathrm{i},}}
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    DLMF id
    DLMF:4.8.E8
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    constraint
    k ∈ ℤ 𝑘 {\displaystyle{\displaystyle k\in\mathbb{Z}}}
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    Symbols used
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2addec
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    Q10784
    Defining formula
    ∈ {\displaystyle{\displaystyle\in}}
    xml-id
    introduction.Sx4.p1.t1.r10.m2abdec
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