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Built-in
Mathematica
Symbol
Special Functions
Tutorials »
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Zeta
PolyGamma
LerchPhi
See Also »
|
Mathematical Functions
Recurrence and Sum Functions
Special Functions
Zeta Functions & Polylogarithms
More About »
PolyLog
PolyLog
[
n
,
z
]
gives the polylogarithm function
.
PolyLog
[
n
,
p
,
z
]
gives the Nielsen generalized polylogarithm function
.
MORE INFORMATION
Mathematical function, suitable for both symbolic and numerical manipulation.
.
.
.
PolyLog
[
n
,
z
]
has a branch cut discontinuity in the complex
plane running from
to
.
For certain special arguments,
PolyLog
automatically evaluates to exact values.
PolyLog
can be evaluated to arbitrary numerical precision.
PolyLog
automatically threads over lists.
EXAMPLES
CLOSE ALL
Basic Examples
(3)
In[1]:=
Out[1]=
In[1]:=
Out[1]=
In[1]:=
Out[1]=
Scope
(7)
Generalizations & Extensions
(7)
Applications
(4)
Properties & Relations
(6)
Possible Issues
(1)
SEE ALSO
Zeta
PolyGamma
LerchPhi
TUTORIALS
Special Functions
RELATED LINKS
Implementation notes: Numerical and Related Functions
MathWorld
The Wolfram Functions Site
NKS|Online
(
A New Kind of Science
)
MORE ABOUT
Mathematical Functions
Recurrence and Sum Functions
Special Functions
Zeta Functions & Polylogarithms
New in 1 | Last modified in 4