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Elliptic Integrals and Elliptic Functions
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WeierstrassP
InverseWeierstrassP
KleinInvariantJ
WeierstrassHalfPeriods
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Elliptic Functions
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WeierstrassInvariants
WeierstrassInvariants
[{
,
}]
gives the invariants
{
g
2
,
g
3
}
for Weierstrass elliptic functions corresponding to the half-periods
{
,
}
.
MORE INFORMATION
Mathematical function, suitable for both symbolic and numerical manipulation.
WeierstrassInvariants
is the inverse of
WeierstrassHalfPeriods
.
For certain special arguments,
WeierstrassInvariants
automatically evaluates to exact values.
WeierstrassInvariants
can be evaluated to arbitrary numerical precision.
EXAMPLES
CLOSE ALL
Basic Examples
(2)
Evaluate numerically:
In[1]:=
Out[1]=
In[1]:=
Out[1]=
Scope
(2)
Applications
(1)
Properties & Relations
(1)
Possible Issues
(1)
SEE ALSO
WeierstrassP
InverseWeierstrassP
KleinInvariantJ
WeierstrassHalfPeriods
TUTORIALS
Elliptic Integrals and Elliptic Functions
RELATED LINKS
MathWorld
The Wolfram Functions Site
MORE ABOUT
Elliptic Functions
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© 2008 Wolfram Research, Inc.
, 
}], }.
EXAMPLES
Basic Examples 
Scope 