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Digital Library of Mathematical Functions ID
6.5.E6
Ci
(
z
)
=
-
1
2
(
E
1
(
i
z
)
+
E
1
(
-
i
z
)
)
,
cosine-integral
𝑧
1
2
exponential-integral
𝑖
𝑧
exponential-integral
𝑖
𝑧
{\displaystyle{\displaystyle\mathrm{Ci}\left(z\right)=-\tfrac{1}{2}(E_{1}\left% (iz\right)+E_{1}\left(-iz\right)),}}
Constraint(s)
Symbols List
Ci
(
z
)
cosine-integral
𝑧
{\displaystyle{\displaystyle\mathrm{Ci}\left(\NVar{z}\right)}}
: cosine integral
E
1
(
z
)
exponential-integral
𝑧
{\displaystyle{\displaystyle E_{1}\left(\NVar{z}\right)}}
: exponential integral
i
imaginary-unit
{\displaystyle{\displaystyle\mathrm{i}}}
: imaginary unit
z
𝑧
{\displaystyle{\displaystyle z}}
: complex variable
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