DLMF:2.10.E11 (Q998)

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DLMF:2.10.E11
No description defined

    Statements

    Defining formula
    S ⁢ ( α , β , n ) = ∑ j = 1 n - 1 e i ⁢ j ⁢ β ⁢ j α , 𝑆 𝛼 𝛽 𝑛 superscript subscript 𝑗 1 𝑛 1 superscript 𝑒 𝑖 𝑗 𝛽 superscript 𝑗 𝛼 {\displaystyle{\displaystyle S(\alpha,\beta,n)=\sum_{j=1}^{n-1}e^{ij\beta}j^{% \alpha},}}
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    DLMF id
    DLMF:2.10.E11
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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.m2aadec
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    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2aadec
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    Q11121
    Defining formula
    S ⁢ ( α , β , n ) 𝑆 𝛼 𝛽 𝑛 {\displaystyle{\displaystyle S(\alpha,\beta,n)}}
    xml-id
    C2.S10.XMD11.m1dec
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