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Digital Library of Mathematical Functions ID
6.5.E2
Ei
(
x
)
=
-
1
2
(
E
1
(
-
x
+
i
0
)
+
E
1
(
-
x
-
i
0
)
)
,
exponential-integral-Ei
𝑥
1
2
exponential-integral
𝑥
𝑖
0
exponential-integral
𝑥
𝑖
0
{\displaystyle{\displaystyle\mathrm{Ei}\left(x\right)=-\tfrac{1}{2}(E_{1}\left% (-x+i0\right)+E_{1}\left(-x-i0\right)),}}
Constraint(s)
Symbols List
E
1
(
z
)
exponential-integral
𝑧
{\displaystyle{\displaystyle E_{1}\left(\NVar{z}\right)}}
: exponential integral
Ei
(
x
)
exponential-integral-Ei
𝑥
{\displaystyle{\displaystyle\mathrm{Ei}\left(\NVar{x}\right)}}
:
i
imaginary-unit
{\displaystyle{\displaystyle\mathrm{i}}}
: imaginary unit
x
𝑥
{\displaystyle{\displaystyle x}}
: real variable
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