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DOCUMENTATION CENTER SEARCH
Mathematica
>
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Mathematical Functions
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Elliptic Functions
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Built-in
Mathematica
Symbol
Elliptic Integrals and Elliptic Functions
Tutorials »
|
WeierstrassZeta
WeierstrassP
See Also »
|
Elliptic Functions
More About »
WeierstrassSigma
WeierstrassSigma
[
u
, {
g
2
,
g
3
}]
gives the Weierstrass sigma function
.
MORE INFORMATION
Mathematical function, suitable for both symbolic and numerical manipulation.
Related to
WeierstrassZeta
by the differential equation
.
WeierstrassSigma
is not periodic and is therefore not strictly an elliptic function.
For certain special arguments,
WeierstrassSigma
automatically evaluates to exact values.
WeierstrassSigma
can be evaluated to arbitrary numerical precision.
EXAMPLES
CLOSE ALL
Basic Examples
(3)
Evaluate numerically:
In[1]:=
Out[1]=
In[1]:=
Out[1]=
Series expansion:
In[1]:=
Out[1]=
Scope
(6)
Applications
(2)
Properties & Relations
(1)
Neat Examples
(1)
SEE ALSO
WeierstrassZeta
WeierstrassP
TUTORIALS
Elliptic Integrals and Elliptic Functions
RELATED LINKS
MathWorld
The Wolfram Functions Site
MORE ABOUT
Elliptic Functions
New in 3
© 2008 Wolfram Research, Inc.
. 
.
EXAMPLES
Basic Examples 
Scope 