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:18.28.E3 - MaRDI portal
Statements
2
π
sin
θ
w
(
cos
θ
)
=
|
(
e
2
i
θ
;
q
)
∞
(
a
e
i
θ
,
b
e
i
θ
,
c
e
i
θ
,
d
e
i
θ
;
q
)
∞
|
2
,
2
𝜋
𝜃
𝑤
𝜃
q-Pochhammer-symbol
superscript
𝑒
2
𝑖
𝜃
𝑞
q-multiple-Pochhammer
𝑎
superscript
𝑒
𝑖
𝜃
𝑏
superscript
𝑒
𝑖
𝜃
𝑐
superscript
𝑒
𝑖
𝜃
𝑑
superscript
𝑒
𝑖
𝜃
𝑞
2
{\displaystyle{\displaystyle 2\pi\sin\theta\,w(\cos\theta)={\left|\frac{\left(%
e^{2i\theta};q\right)_{\infty}}{\left(ae^{i\theta},be^{i\theta},ce^{i\theta},%
de^{i\theta};q\right)_{\infty}}\right|^{2}},}}
π
{\displaystyle{\displaystyle\pi}}
cos
z
𝑧
{\displaystyle{\displaystyle\cos\NVar{z}}}
e
{\displaystyle{\displaystyle\mathrm{e}}}
i
imaginary-unit
{\displaystyle{\displaystyle\mathrm{i}}}
(
a
;
q
)
n
q-Pochhammer-symbol
𝑎
𝑞
𝑛
{\displaystyle{\displaystyle\left(\NVar{a};\NVar{q}\right)_{\NVar{n}}}}
(
a
1
,
a
2
,
…
,
a
r
;
q
)
n
q-multiple-Pochhammer
subscript
𝑎
1
subscript
𝑎
2
…
subscript
𝑎
𝑟
𝑞
𝑛
{\displaystyle{\displaystyle\left(\NVar{a_{1},a_{2},\dots,a_{r}};\NVar{q}%
\right)_{\NVar{n}}}}
sin
z
𝑧
{\displaystyle{\displaystyle\sin\NVar{z}}}
w
(
x
)
𝑤
𝑥
{\displaystyle{\displaystyle w(x)}}
q
𝑞
{\displaystyle{\displaystyle q}}
Identifiers
