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Statements
π’πΈ
2
β’
n
m
β‘
(
z
,
k
2
)
=
1
2
β’
A
0
+
β
p
=
1
n
A
2
β’
p
β’
T
2
β’
p
β‘
(
sn
β‘
(
z
,
k
)
)
.
Lame-polynomial-uE
π
2
π
π§
superscript
π
2
1
2
subscript
π΄
0
superscript
subscript
π
1
π
subscript
π΄
2
π
Chebyshev-polynomial-first-kind-T
2
π
Jacobi-elliptic-sn
π§
π
{\displaystyle{\displaystyle\mathit{uE}^{m}_{2n}\left(z,k^{2}\right)=\tfrac{1}%
{2}A_{0}+\sum_{p=1}^{n}A_{2p}T_{2p}\left(\operatorname{sn}\left(z,k\right)%
\right).}}
T
n
β‘
(
x
)
Chebyshev-polynomial-first-kind-T
π
π₯
{\displaystyle{\displaystyle T_{\NVar{n}}\left(\NVar{x}\right)}}
sn
β‘
(
z
,
k
)
Jacobi-elliptic-sn
π§
π
{\displaystyle{\displaystyle\operatorname{sn}\left(\NVar{z},\NVar{k}\right)}}
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)}}
m
π
{\displaystyle{\displaystyle m}}
n
π
{\displaystyle{\displaystyle n}}
p
π
{\displaystyle{\displaystyle p}}
z
π§
{\displaystyle{\displaystyle z}}
k
π
{\displaystyle{\displaystyle k}}
A
2
β’
p
subscript
π΄
2
π
{\displaystyle{\displaystyle A_{2p}}}
Identifiers
