DLMF:4.2.E33 (Q1530)

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DLMF:4.2.E33
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    Statements

    Defining formula
    e z = ( exp ⁡ z ) ⁢ exp ⁡ ( 2 ⁢ k ⁢ z ⁢ π ⁢ i ) , superscript 𝑒 𝑧 𝑧 2 𝑘 𝑧 𝜋 imaginary-unit {\displaystyle{\displaystyle e^{z}=(\exp z)\exp\left(2kz\pi\mathrm{i}\right),}}
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    DLMF id
    DLMF:4.2.E33
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    constraint
    k ∈ ℤ 𝑘 {\displaystyle{\displaystyle k\in\mathbb{Z}}}
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