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:23.8.E1 - MaRDI portal
Statements
℘
(
z
)
+
η
1
ω
1
-
π
2
4
ω
1
2
csc
2
(
π
z
2
ω
1
)
=
-
2
π
2
ω
1
2
∑
n
=
1
∞
n
q
2
n
1
-
q
2
n
cos
(
n
π
z
ω
1
)
,
Weierstrass-P-on-lattice
𝑧
𝕃
subscript
𝜂
1
subscript
𝜔
1
superscript
𝜋
2
4
superscript
subscript
𝜔
1
2
2
𝜋
𝑧
2
subscript
𝜔
1
2
superscript
𝜋
2
superscript
subscript
𝜔
1
2
superscript
subscript
𝑛
1
𝑛
superscript
𝑞
2
𝑛
1
superscript
𝑞
2
𝑛
𝑛
𝜋
𝑧
subscript
𝜔
1
{\displaystyle{\displaystyle\wp\left(z\right)+\frac{\eta_{1}}{\omega_{1}}-%
\frac{\pi^{2}}{4\omega_{1}^{2}}{\csc^{2}}\left(\frac{\pi z}{2\omega_{1}}\right%
)=-\frac{2\pi^{2}}{\omega_{1}^{2}}\sum_{n=1}^{\infty}\frac{nq^{2n}}{1-q^{2n}}%
\cos\left(\frac{n\pi z}{\omega_{1}}\right),}}
℘
(
z
)
Weierstrass-P-on-lattice
𝑧
𝕃
{\displaystyle{\displaystyle\wp\left(\NVar{z}\right)}}
π
{\displaystyle{\displaystyle\pi}}
csc
z
𝑧
{\displaystyle{\displaystyle\csc\NVar{z}}}
cos
z
𝑧
{\displaystyle{\displaystyle\cos\NVar{z}}}
𝕃
𝕃
{\displaystyle{\displaystyle\mathbb{L}}}
q
𝑞
{\displaystyle{\displaystyle q}}
n
𝑛
{\displaystyle{\displaystyle n}}
z
𝑧
{\displaystyle{\displaystyle z}}
ω
1
subscript
𝜔
1
{\displaystyle{\displaystyle\omega_{1}}}
η
j
subscript
𝜂
𝑗
{\displaystyle{\displaystyle\eta_{j}}}
Identifiers
