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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 »
|
InverseJacobiND
JacobiNC
JacobiNS
See Also »
|
Elliptic Functions
More About »
JacobiND
JacobiND
[
u
,
m
]
gives the Jacobi elliptic function
.
MORE INFORMATION
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
.
JacobiND
is a meromorphic function in both arguments.
For certain special arguments,
JacobiND
automatically evaluates to exact values.
JacobiND
can be evaluated to arbitrary numerical precision.
JacobiND
automatically threads over lists.
EXAMPLES
CLOSE ALL
Basic Examples
(3)
Evaluate numerically:
In[1]:=
Out[1]=
In[1]:=
Out[1]=
Series expansions about the origin:
In[1]:=
Out[1]=
In[2]:=
Out[2]=
Scope
(6)
Generalizations & Extensions
(1)
Applications
(4)
Properties & Relations
(3)
Possible Issues
(2)
SEE ALSO
InverseJacobiND
JacobiNC
JacobiNS
TUTORIALS
Elliptic Integrals and Elliptic Functions
MORE ABOUT
Elliptic Functions
New in 1
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