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InverseJacobiDN
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JacobiDN
JacobiDN
[
u
,
m
]
gives the Jacobi elliptic function
.
MORE INFORMATION
Mathematical function, suitable for both symbolic and numerical manipulation.
, where
.
a is doubly periodic function in
u
with periods
and
, where
is the elliptic integral
EllipticK
.
JacobiDN
is a meromorphic function in both arguments.
For certain special arguments,
JacobiDN
automatically evaluates to exact values.
JacobiDN
can be evaluated to arbitrary numerical precision.
JacobiDN
automatically threads over lists.
EXAMPLES
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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
(8)
Properties & Relations
(4)
Possible Issues
(2)
SEE ALSO
InverseJacobiDN
JacobiDC
JacobiDS
TUTORIALS
Elliptic Integrals and Elliptic Functions
MORE ABOUT
Elliptic Functions
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