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Statements
∑
p
=
1
∞
B
2
p
D
2
p
=
4
π
∫
0
K
(
𝐸𝑠
ν
2
m
+
2
(
x
,
k
2
)
)
2
d
x
.
superscript
subscript
𝑝
1
subscript
𝐵
2
𝑝
subscript
𝐷
2
𝑝
4
𝜋
superscript
subscript
0
complete-elliptic-integral-first-kind-K
𝑘
superscript
Lame-Es
2
𝑚
2
𝜈
𝑥
superscript
𝑘
2
2
𝑥
{\displaystyle{\displaystyle\sum_{p=1}^{\infty}B_{2p}D_{2p}=\frac{4}{\pi}\int_%
{0}^{K}\left(\mathit{Es}^{2m+2}_{\nu}\left(x,k^{2}\right)\right)^{2}\mathrm{d}%
x.}}
𝐸𝑠
ν
m
(
z
,
k
2
)
Lame-Es
𝑚
𝜈
𝑧
superscript
𝑘
2
{\displaystyle{\displaystyle\mathit{Es}^{\NVar{m}}_{\NVar{\nu}}\left(\NVar{z},%
\NVar{k^{2}}\right)}}
π
{\displaystyle{\displaystyle\pi}}
K
(
k
)
complete-elliptic-integral-first-kind-K
𝑘
{\displaystyle{\displaystyle K\left(\NVar{k}\right)}}
d
x
𝑥
{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
∫
{\displaystyle{\displaystyle\int}}
m
𝑚
{\displaystyle{\displaystyle m}}
p
𝑝
{\displaystyle{\displaystyle p}}
x
𝑥
{\displaystyle{\displaystyle x}}
k
𝑘
{\displaystyle{\displaystyle k}}
ν
𝜈
{\displaystyle{\displaystyle\nu}}
B
2
p
+
1
subscript
𝐵
2
𝑝
1
{\displaystyle{\displaystyle B_{2p+1}}}
D
2
p
subscript
𝐷
2
𝑝
{\displaystyle{\displaystyle D_{2p}}}
Identifiers
