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Digital Library of Mathematical Functions ID
6.6.E5
Si
(
z
)
=
∑
n
=
0
∞
(
-
1
)
n
z
2
n
+
1
(
2
n
+
1
)
!
(
2
n
+
1
)
,
sine-integral
𝑧
superscript
subscript
𝑛
0
superscript
1
𝑛
superscript
𝑧
2
𝑛
1
2
𝑛
1
2
𝑛
1
{\displaystyle{\displaystyle\mathrm{Si}\left(z\right)=\sum_{n=0}^{\infty}\frac% {(-1)^{n}z^{2n+1}}{(2n+1)!(2n+1)},}}
Constraint(s)
Symbols List
!
{\displaystyle{\displaystyle!}}
:
Si
(
z
)
sine-integral
𝑧
{\displaystyle{\displaystyle\mathrm{Si}\left(\NVar{z}\right)}}
: sine integral
z
𝑧
{\displaystyle{\displaystyle z}}
: complex variable
n
𝑛
{\displaystyle{\displaystyle n}}
: nonnegative integer
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