DLMF:2.10.E11 (Q998): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: imaginary unit / rank
 
Normal rank
Property / Symbols used: imaginary unit / qualifier
 
Defining formula:

i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}

\iunit
Property / Symbols used: imaginary unit / qualifier
 
xml-id: C1.S9.E1.m2aadec
Property / Symbols used
 
Property / Symbols used: Q11121 / rank
 
Normal rank
Property / Symbols used: Q11121 / qualifier
 
Defining formula:

S ⁢ ( α , β , n ) 𝑆 𝛼 𝛽 𝑛 {\displaystyle{\displaystyle S(\alpha,\beta,n)}}

S(\alpha,\beta,n)
Property / Symbols used: Q11121 / qualifier
 
xml-id: C2.S10.XMD11.m1dec

Latest revision as of 17:34, 1 January 2020

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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},}}
    0 references
    DLMF id
    DLMF:2.10.E11
    0 references
    comment
    Warning: Falling back to standard tex;
    0 references
    Symbols used
    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2aadec
    0 references
    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2aadec
    0 references
    Q11121
    Defining formula
    S ⁢ ( α , β , n ) 𝑆 𝛼 𝛽 𝑛 {\displaystyle{\displaystyle S(\alpha,\beta,n)}}
    xml-id
    C2.S10.XMD11.m1dec
    0 references
     
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