DLMF:2.10.E13 (Q1000)

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DLMF:2.10.E13
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    Statements

    Defining formula
    U j = e i ⁢ β ⁢ ( e i ⁢ j ⁢ β - 1 ) / ( e i ⁢ β - 1 ) , subscript 𝑈 𝑗 superscript 𝑒 𝑖 𝛽 superscript 𝑒 𝑖 𝑗 𝛽 1 superscript 𝑒 𝑖 𝛽 1 {\displaystyle{\displaystyle U_{j}=e^{i\beta}(e^{ij\beta}-1)/(e^{i\beta}-1),}}
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    DLMF id
    DLMF:2.10.E13
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    comment
    Warning: Falling back to standard tex;
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    Symbols used
    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2abdec
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    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2abdec
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    Q11118
    Defining formula
    U j subscript 𝑈 𝑗 {\displaystyle{\displaystyle U_{j}}}
    xml-id
    C2.S10.XMD10.m1bdec
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