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2.10.E11
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Formula:969
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MaRDI QID
Q969
Label: 2.10.E11
Digital Library of Mathematical Functions ID
2.10.E11
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},}}
Constraint(s)
Symbols List
e
{\displaystyle{\displaystyle\mathrm{e}}}
: base of natural logarithm
i
imaginary-unit
{\displaystyle{\displaystyle\mathrm{i}}}
: imaginary unit
S
(
α
,
β
,
n
)
𝑆
𝛼
𝛽
𝑛
{\displaystyle{\displaystyle S(\alpha,\beta,n)}}
: sum
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