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DOCUMENTATION CENTER SEARCH
Mathematica
>
Mathematics and Algorithms
>
Mathematical Functions
>
Special Functions
>
Elliptic Functions
>
Built-in
Mathematica
Symbol
Elliptic Integrals and Elliptic Functions
Tutorials »
|
WeierstrassP
WeierstrassPPrime
WeierstrassHalfPeriods
WeierstrassInvariants
See Also »
|
Elliptic Functions
Elliptic Integrals
Inverse Functions
Special Functions
More About »
InverseWeierstrassP
InverseWeierstrassP
[
p
, {
g
2
,
g
3
}]
gives a value of
u
for which the Weierstrass function
is equal to
p
.
MORE INFORMATION
Mathematical function, suitable for both symbolic and numerical manipulation.
The value of
u
returned always lies in the fundamental period parallelogram defined by the complex half-periods
and
.
InverseWeierstrassP
[{
p
,
q
}, {
g
2
,
g
3
}]
finds the unique value of
u
for which
and
. For such a value to exist,
p
and
q
must be related by
.
InverseWeierstrassP
can be evaluated to arbitrary numerical precision.
EXAMPLES
CLOSE ALL
Basic Examples
(2)
Evaluate numerically:
In[1]:=
Out[1]=
In[2]:=
Out[2]=
In[1]:=
Out[1]=
Scope
(4)
Generalizations & Extensions
(1)
Applications
(2)
Possible Issues
(2)
SEE ALSO
WeierstrassP
WeierstrassPPrime
WeierstrassHalfPeriods
WeierstrassInvariants
TUTORIALS
Elliptic Integrals and Elliptic Functions
RELATED LINKS
MathWorld
The Wolfram Functions Site
MORE ABOUT
Elliptic Functions
Elliptic Integrals
Inverse Functions
Special Functions
New in 3
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