WeierstrassHalfPeriods

WeierstrassHalfPeriods[{g2,g3}]

gives the halfperiods {ω,ω} for Weierstrass elliptic functions corresponding to the invariants {g2,g3}.

Details

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • The halfperiods {ω,ω} define the fundamental period parallelogram for the Weierstrass elliptic functions.
  • WeierstrassHalfPeriods is the inverse of WeierstrassInvariants.
  • WeierstrassHalfPeriods can be evaluated to arbitrary numerical precision.

Examples

open allclose all

Basic Examples  (3)

Evaluate numerically:

In[1]:=
Click for copyable input
Out[1]=
In[1]:=
Click for copyable input
Out[1]=

Given the halfperiods, calculate a value of a Weierstrass function:

In[1]:=
Click for copyable input
Out[1]=

Scope  (2)

Applications  (1)

Properties & Relations  (1)

Possible Issues  (1)

Neat Examples  (1)

See Also

WeierstrassP  InverseWeierstrassP  ModularLambda

Tutorials

Introduced in 1996
(3.0)