DLMF:28.29.E7 (Q8487)

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DLMF:28.29.E7
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    Statements

    Defining formula
    w ⁢ ( z + π ) = e π ⁢ i ⁢ ν ⁢ w ⁢ ( z ) , 𝑤 𝑧 𝜋 superscript 𝑒 𝜋 imaginary-unit 𝜈 𝑤 𝑧 {\displaystyle{\displaystyle w(z+\pi)=e^{\pi\mathrm{i}\nu}w(z),}}
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    DLMF id
    DLMF:28.29.E7
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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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    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2adec
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    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2adec
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