DLMF:9.13.E18 (Q2981)

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DLMF:9.13.E18
No description defined

    Statements

    test
    w = U m ⁢ ( t ⁢ e - 2 ⁢ j ⁢ π ⁢ i / m ) , 𝑤 subscript 𝑈 𝑚 𝑡 superscript 𝑒 2 𝑗 𝜋 𝑖 𝑚 {\displaystyle{\displaystyle w=U_{m}(te^{-2j\pi i/m}),}}
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    DLMF id
    DLMF:9.13.E18
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    comment
    Warning: Falling back to standard tex;
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    constraint
    j = 0 , ± 1 , ± 2 , … . 𝑗 0 plus-or-minus 1 plus-or-minus 2 … {\displaystyle{\displaystyle j=0,\pm 1,\pm 2,\ldots.}}
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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.m2ahdec
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    base of natural logarithm
    test
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2addec
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    imaginary unit
    test
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2adec
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    Q11419
    test
    U i subscript 𝑈 𝑖 {\displaystyle{\displaystyle U_{i}}}
    xml-id
    C9.S13.XMD12.m1bdec
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    function (locally)
    test
    w 𝑤 {\displaystyle{\displaystyle w}}
    xml-id
    C9.S13.XMD2.m1ddec
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    Q11418
    test
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C9.S13.XMD5.m1edec
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    Q11421
    test
    j 𝑗 {\displaystyle{\displaystyle j}}
    xml-id
    C9.S13.XMD9.m1dec
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