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.E44 - MaRDI portal
Statements
π πΈ
2
β’
n
+
1
m
β‘
(
z
,
k
2
)
=
β
p
=
0
n
A
2
β’
p
+
1
β’
T
2
β’
p
+
1
β‘
(
sn
β‘
(
z
,
k
)
)
,
Lame-polynomial-sE
π
2
π
1
π§
superscript
π
2
superscript
subscript
π
0
π
subscript
π΄
2
π
1
Chebyshev-polynomial-first-kind-T
2
π
1
Jacobi-elliptic-sn
π§
π
{\displaystyle{\displaystyle\mathit{sE}^{m}_{2n+1}\left(z,k^{2}\right)=\sum_{p%
=0}^{n}A_{2p+1}T_{2p+1}\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
+
1
m
β‘
(
z
,
k
2
)
Lame-polynomial-sE
π
2
π
1
π§
superscript
π
2
{\displaystyle{\displaystyle\mathit{sE}^{\NVar{m}}_{2\NVar{n}+1}\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
