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Statements
f
n
m
β’
(
s
,
t
)
=
π’πΈ
2
β’
n
m
β‘
(
s
,
k
2
)
β’
π’πΈ
2
β’
n
m
β‘
(
K
β‘
+
i
β’
t
,
k
2
)
,
superscript
subscript
π
π
π
π
π‘
Lame-polynomial-uE
π
2
π
π
superscript
π
2
Lame-polynomial-uE
π
2
π
complete-elliptic-integral-first-kind-K
π
imaginary-unit
π‘
superscript
π
2
{\displaystyle{\displaystyle f_{n}^{m}(s,t)=\mathit{uE}^{m}_{2n}\left(s,k^{2}%
\right)\mathit{uE}^{m}_{2n}\left(K+\mathrm{i}t,k^{2}\right),}}
m
=
0
,
1
,
β¦
,
n
π
0
1
β¦
π
{\displaystyle{\displaystyle m=0,1,\dots,n}}
π’πΈ
2
β’
n
m
β‘
(
z
,
k
2
)
Lame-polynomial-uE
π
2
π
π§
superscript
π
2
{\displaystyle{\displaystyle\mathit{uE}^{\NVar{m}}_{2\NVar{n}}\left(\NVar{z},%
\NVar{k^{2}}\right)}}
K
β‘
(
k
)
complete-elliptic-integral-first-kind-K
π
{\displaystyle{\displaystyle K\left(\NVar{k}\right)}}
i
imaginary-unit
{\displaystyle{\displaystyle\mathrm{i}}}
m
π
{\displaystyle{\displaystyle m}}
n
π
{\displaystyle{\displaystyle n}}
k
π
{\displaystyle{\displaystyle k}}
Identifiers
