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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
PrimePi
TUTORIALS
Special Functions
RELATED LINKS
MathWorld
The Wolfram Functions Site
NKS|Online
(
A New Kind of Science
)
MORE ABOUT
Error and Exponential Integral Functions
Number Theoretic Functions
Number Theory
Prime Numbers
Special Functions
New in 1
© 2008 Wolfram Research, Inc.
. 
, where the principal value of the integral is taken. 
to 
.
EXAMPLES
Basic Examples 
Scope 