DLMF:4.8.E17 (Q1608)

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DLMF:4.8.E17
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    Statements

    Defining formula
    ( e z 1 ) z 2 = e z 1 ⁢ z 2 , superscript superscript 𝑒 subscript 𝑧 1 subscript 𝑧 2 superscript 𝑒 subscript 𝑧 1 subscript 𝑧 2 {\displaystyle{\displaystyle(e^{z_{1}})^{z_{2}}=e^{z_{1}z_{2}},}}
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    DLMF id
    DLMF:4.8.E17
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    comment
    Warning: Falling back to standard tex;
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    constraint
    - π ≤ ℑ ⁡ z 1 ≤ π 𝜋 subscript 𝑧 1 𝜋 {\displaystyle{\displaystyle-\pi\leq\Im z_{1}\leq\pi}}
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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.m2aidec
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    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2aadec
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    Q10901
    Defining formula
    ℑ ⁡ absent {\displaystyle{\displaystyle\Im}}
    xml-id
    C1.S9.E2.m2aadec
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    Q11217
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C4.S1.XMD8.m1odec
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