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Statements
ℰ
(
x
+
K
,
k
)
=
ℰ
(
x
,
k
)
+
E
(
k
)
-
k
2
sn
(
x
,
k
)
cd
(
x
,
k
)
,
Jacobi-Epsilon
𝑥
𝐾
𝑘
Jacobi-Epsilon
𝑥
𝑘
complete-elliptic-integral-second-kind-E
𝑘
superscript
𝑘
2
Jacobi-elliptic-sn
𝑥
𝑘
Jacobi-elliptic-cd
𝑥
𝑘
{\displaystyle{\displaystyle\mathcal{E}\left(x+K,k\right)=\mathcal{E}\left(x,k%
\right)+E\left(k\right)-k^{2}\operatorname{sn}\left(x,k\right)\operatorname{cd%
}\left(x,k\right),}}
ℰ
(
x
,
k
)
Jacobi-Epsilon
𝑥
𝑘
{\displaystyle{\displaystyle\mathcal{E}\left(\NVar{x},\NVar{k}\right)}}
cd
(
z
,
k
)
Jacobi-elliptic-cd
𝑧
𝑘
{\displaystyle{\displaystyle\operatorname{cd}\left(\NVar{z},\NVar{k}\right)}}
sn
(
z
,
k
)
Jacobi-elliptic-sn
𝑧
𝑘
{\displaystyle{\displaystyle\operatorname{sn}\left(\NVar{z},\NVar{k}\right)}}
K
(
k
)
complete-elliptic-integral-first-kind-K
𝑘
{\displaystyle{\displaystyle K\left(\NVar{k}\right)}}
E
(
k
)
complete-elliptic-integral-second-kind-E
𝑘
{\displaystyle{\displaystyle E\left(\NVar{k}\right)}}
x
𝑥
{\displaystyle{\displaystyle x}}
k
𝑘
{\displaystyle{\displaystyle k}}
Identifiers
