DLMF:4.2.E3 (Q1499)

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DLMF:4.2.E3
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    Statements

    test
    ln ⁡ z = ln ⁡ | z | + i ⁢ ph ⁡ z , 𝑧 𝑧 imaginary-unit phase 𝑧 {\displaystyle{\displaystyle\ln z=\ln\left|z\right|+\mathrm{i}\operatorname{ph% }z,}}
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    DLMF id
    DLMF:4.2.E3
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    constraint
    - π < ph ⁡ z < π 𝜋 phase 𝑧 𝜋 {\displaystyle{\displaystyle-\pi<\operatorname{ph}z<\pi}}
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