JacobiSC

JacobiSC[u,m]

gives the Jacobi elliptic function .

Details

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • , where .
  • is a doubly periodic function in with periods and , where is the elliptic integral EllipticK.
  • JacobiSC is a meromorphic function in both arguments.
  • For certain special arguments, JacobiSC automatically evaluates to exact values.
  • JacobiSC can be evaluated to arbitrary numerical precision.
  • JacobiSC automatically threads over lists.

Examples

open allclose all

Basic Examples  (3)

Evaluate numerically:

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

Plot the function:

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

Series expansions:

In[1]:=
Click for copyable input
Out[1]=
In[2]:=
Click for copyable input
Out[2]=

Scope  (6)

Generalizations & Extensions  (1)

Applications  (3)

Properties & Relations  (3)

Possible Issues  (2)

See Also

InverseJacobiSC  JacobiSD  JacobiSN  JacobiDC

Tutorials

Introduced in 1988
(1.0)