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:23.6.E15 - MaRDI portal
Statements
σ
(
u
+
ω
j
)
σ
(
ω
j
)
=
exp
(
η
j
u
+
η
j
u
2
2
ω
1
)
θ
j
+
1
(
z
,
q
)
θ
j
+
1
(
0
,
q
)
,
Weierstrass-sigma-on-lattice
𝑢
subscript
𝜔
𝑗
𝕃
Weierstrass-sigma-on-lattice
subscript
𝜔
𝑗
𝕃
subscript
𝜂
𝑗
𝑢
subscript
𝜂
𝑗
superscript
𝑢
2
2
subscript
𝜔
1
Jacobi-theta
𝑗
1
𝑧
𝑞
Jacobi-theta
𝑗
1
0
𝑞
{\displaystyle{\displaystyle\frac{\sigma\left(u+\omega_{j}\right)}{\sigma\left%
(\omega_{j}\right)}=\exp\left(\eta_{j}u+\frac{\eta_{j}u^{2}}{2\omega_{1}}%
\right)\frac{\theta_{j+1}\left(z,q\right)}{\theta_{j+1}\left(0,q\right)},}}
j
=
1
,
2
,
3
𝑗
1
2
3
{\displaystyle{\displaystyle j=1,2,3}}
θ
j
(
z
,
q
)
Jacobi-theta
𝑗
𝑧
𝑞
{\displaystyle{\displaystyle\theta_{\NVar{j}}\left(\NVar{z},\NVar{q}\right)}}
σ
(
z
)
Weierstrass-sigma-on-lattice
𝑧
𝕃
{\displaystyle{\displaystyle\sigma\left(\NVar{z}\right)}}
exp
z
𝑧
{\displaystyle{\displaystyle\exp\NVar{z}}}
𝕃
𝕃
{\displaystyle{\displaystyle\mathbb{L}}}
q
𝑞
{\displaystyle{\displaystyle q}}
z
𝑧
{\displaystyle{\displaystyle z}}
ω
1
subscript
𝜔
1
{\displaystyle{\displaystyle\omega_{1}}}
η
j
subscript
𝜂
𝑗
{\displaystyle{\displaystyle\eta_{j}}}
u
𝑢
{\displaystyle{\displaystyle u}}
Identifiers
