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JacobiDC
JacobiDC
[
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
u
with periods
and
, where
is the elliptic integral
EllipticK
.
JacobiDC
is a meromorphic function in both arguments.
For certain special arguments,
JacobiDC
automatically evaluates to exact values.
JacobiDC
can be evaluated to arbitrary numerical precision.
JacobiDC
automatically threads over lists.
EXAMPLES
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Basic Examples
(3)
Evaluate numerically:
In[1]:=
Out[1]=
In[1]:=
Out[1]=
Series expansions:
In[1]:=
Out[1]=
In[2]:=
Out[2]=
Scope
(6)
Generalizations & Extensions
(1)
Applications
(2)
Properties & Relations
(3)
Possible Issues
(2)
SEE ALSO
InverseJacobiDC
JacobiDN
JacobiDS
JacobiNC
TUTORIALS
Elliptic Integrals and Elliptic Functions
MORE ABOUT
Elliptic Functions
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