DLMF:4.8.E11 (Q1602)

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DLMF:4.8.E11
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    Statements

    test
    Ln ⁡ ( a z ) = z ⁢ Ln ⁡ a + 2 ⁢ k ⁢ π ⁢ i , multivalued-natural-logarithm superscript 𝑎 𝑧 𝑧 multivalued-natural-logarithm 𝑎 2 𝑘 𝜋 imaginary-unit {\displaystyle{\displaystyle\operatorname{Ln}\left(a^{z}\right)=z\operatorname% {Ln}a+2k\pi\mathrm{i},}}
    0 references
    DLMF id
    DLMF:4.8.E11
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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
    test
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2afdec
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