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JacobiAmplitude
JacobiAmplitude
[
u
,
m
]
gives the amplitude
for Jacobi elliptic functions.
MORE INFORMATION
Mathematical function, suitable for both symbolic and numerical manipulation.
JacobiAmplitude
[
u
,
m
]
converts from the argument
u
for an elliptic function to the amplitude
.
JacobiAmplitude
is the inverse of the elliptic integral of the first kind. If
, then
.
For certain special arguments,
JacobiAmplitude
automatically evaluates to exact values.
JacobiAmplitude
can be evaluated to arbitrary numerical precision.
JacobiAmplitude
automatically threads over lists.
EXAMPLES
CLOSE ALL
Basic Examples
(3)
Evaluate numerically:
In[1]:=
Out[1]=
In[1]:=
Out[1]=
Series expansion about the origin:
In[1]:=
Out[1]=
In[2]:=
Out[2]=
Scope
(6)
Generalizations & Extensions
(1)
Applications
(5)
Properties & Relations
(4)
Possible Issues
(1)
SEE ALSO
EllipticE
EllipticF
TUTORIALS
Elliptic Integrals and Elliptic Functions
RELATED LINKS
MathWorld
The Wolfram Functions Site
MORE ABOUT
Elliptic Functions
Elliptic Integrals
Inverse Functions
New in 1
© 2008 Wolfram Research, Inc.
for Jacobi elliptic functions. 
. 
, then 
.
EXAMPLES
Basic Examples 
Scope 