Deprecated : $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372 DLMF:29.15.E47 - MaRDI portal
Statements
π ππΈ
2
β’
n
+
2
m
β‘
(
z
,
k
2
)
=
cn
β‘
(
z
,
k
)
β’
β
p
=
0
n
B
2
β’
p
+
2
β’
U
2
β’
p
+
1
β‘
(
sn
β‘
(
z
,
k
)
)
,
Lame-polynomial-scE
π
2
π
2
π§
superscript
π
2
Jacobi-elliptic-cn
π§
π
superscript
subscript
π
0
π
subscript
π΅
2
π
2
Chebyshev-polynomial-second-kind-U
2
π
1
Jacobi-elliptic-sn
π§
π
{\displaystyle{\displaystyle\mathit{scE}^{m}_{2n+2}\left(z,k^{2}\right)=%
\operatorname{cn}\left(z,k\right)\sum_{p=0}^{n}B_{2p+2}U_{2p+1}\left(%
\operatorname{sn}\left(z,k\right)\right),}}
U
n
β‘
(
x
)
Chebyshev-polynomial-second-kind-U
π
π₯
{\displaystyle{\displaystyle U_{\NVar{n}}\left(\NVar{x}\right)}}
cn
β‘
(
z
,
k
)
Jacobi-elliptic-cn
π§
π
{\displaystyle{\displaystyle\operatorname{cn}\left(\NVar{z},\NVar{k}\right)}}
sn
β‘
(
z
,
k
)
Jacobi-elliptic-sn
π§
π
{\displaystyle{\displaystyle\operatorname{sn}\left(\NVar{z},\NVar{k}\right)}}
π ππΈ
2
β’
n
+
2
m
β‘
(
z
,
k
2
)
Lame-polynomial-scE
π
2
π
2
π§
superscript
π
2
{\displaystyle{\displaystyle\mathit{scE}^{\NVar{m}}_{2\NVar{n}+2}\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}}
B
2
β’
p
+
1
subscript
π΅
2
π
1
{\displaystyle{\displaystyle B_{2p+1}}}
Identifiers
