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DOCUMENTATION CENTER SEARCH
Mathematica
>
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>
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>
Special Functions
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Error and Exponential Integral Functions
>
Built-in
Mathematica
Symbol
Special Functions
Tutorials »
|
ExpIntegralE
RiemannR
PrimePi
See Also »
|
Analytic Number Theory
Error and Exponential Integral Functions
Multiplicative Number Theory
Number Theoretic Functions
Number Theory
Prime Numbers
Special Functions
More About »
LogIntegral
LogIntegral
[
z
]
is the logarithmic integral function
.
MORE INFORMATION
Mathematical function, suitable for both symbolic and numerical manipulation.
The logarithmic integral function is defined by
, where the principal value of the integral is taken.
LogIntegral
[
z
]
has a branch cut discontinuity in the complex
z
plane running from
to
.
For certain special arguments,
LogIntegral
automatically evaluates to exact values.
LogIntegral
can be evaluated to arbitrary numerical precision.
LogIntegral
automatically threads over lists.
EXAMPLES
CLOSE ALL
Basic Examples
(3)
Evaluate numerically:
In[1]:=
Out[1]=
In[1]:=
Out[1]=
Series expansion around the branch point at
x
=1
:
In[1]:=
Out[1]=
Scope
(7)
Generalizations & Extensions
(1)
Applications
(4)
Properties & Relations
(5)
Possible Issues
(1)
Neat Examples
(2)
SEE ALSO
ExpIntegralE
RiemannR
PrimePi
TUTORIALS
Special Functions
RELATED LINKS
MathWorld
The Wolfram Functions Site
NKS|Online
(
A New Kind of Science
)
MORE ABOUT
Analytic Number Theory
Error and Exponential Integral Functions
Multiplicative Number Theory
Number Theoretic Functions
Number Theory
Prime Numbers
Special Functions
New in 1
. 
, where the principal value of the integral is taken. 
to 
.
EXAMPLES
Basic Examples 
Scope 