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Statements
cn
(
z
,
k
)
=
cn
(
z
/
(
1
+
k
1
)
,
k
1
)
dn
(
z
/
(
1
+
k
1
)
,
k
1
)
1
+
k
1
sn
2
(
z
/
(
1
+
k
1
)
,
k
1
)
,
Jacobi-elliptic-cn
𝑧
𝑘
Jacobi-elliptic-cn
𝑧
1
subscript
𝑘
1
subscript
𝑘
1
Jacobi-elliptic-dn
𝑧
1
subscript
𝑘
1
subscript
𝑘
1
1
subscript
𝑘
1
Jacobi-elliptic-sn
2
𝑧
1
subscript
𝑘
1
subscript
𝑘
1
{\displaystyle{\displaystyle\operatorname{cn}\left(z,k\right)=\frac{%
\operatorname{cn}\left(z/(1+k_{1}),k_{1}\right)\operatorname{dn}\left(z/(1+k_{%
1}),k_{1}\right)}{1+k_{1}{\operatorname{sn}^{2}}\left(z/(1+k_{1}),k_{1}\right)%
},}}
cn
(
z
,
k
)
Jacobi-elliptic-cn
𝑧
𝑘
{\displaystyle{\displaystyle\operatorname{cn}\left(\NVar{z},\NVar{k}\right)}}
dn
(
z
,
k
)
Jacobi-elliptic-dn
𝑧
𝑘
{\displaystyle{\displaystyle\operatorname{dn}\left(\NVar{z},\NVar{k}\right)}}
sn
(
z
,
k
)
Jacobi-elliptic-sn
𝑧
𝑘
{\displaystyle{\displaystyle\operatorname{sn}\left(\NVar{z},\NVar{k}\right)}}
z
𝑧
{\displaystyle{\displaystyle z}}
k
𝑘
{\displaystyle{\displaystyle k}}
k
1
subscript
𝑘
1
{\displaystyle{\displaystyle k_{1}}}
Identifiers
