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LerchPhi
LerchPhi
[
z
,
s
,
a
]
gives the Lerch transcendent
(
z
,
s
,
a
)
.
MORE INFORMATION
Mathematical function, suitable for both symbolic and numerical manipulation.
.
For
, the definition used is
, where any term with
is excluded.
LerchPhi
[
z
,
s
,
a
, DoublyInfinite->
True
]
gives the sum
.
LerchPhi
is a generalization of
Zeta
and
PolyLog
.
For certain special arguments,
LerchPhi
automatically evaluates to exact values.
LerchPhi
can be evaluated to arbitrary numerical precision.
LerchPhi
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
(3)
Options
(4)
Applications
(2)
Properties & Relations
(2)
Possible Issues
(4)
SEE ALSO
Zeta
PolyLog
TUTORIALS
Special Functions
RELATED LINKS
MathWorld
The Wolfram Functions Site
MORE ABOUT
Number Theoretic Functions
Number Theory
Recurrence and Sum Functions
Special Functions
Zeta Functions & Polylogarithms
New in 1
© 2008 Wolfram Research, Inc.
(z, s, a). 
. 
, the definition used is 
, where any term with 
is excluded.
EXAMPLES
Basic Examples 
Scope 