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:17.4.E6 - MaRDI portal
Statements
Φ
(
2
)
(
a
;
b
,
b
′
;
c
,
c
′
;
q
;
x
,
y
)
=
∑
m
,
n
≥
0
(
a
;
q
)
m
+
n
(
b
;
q
)
m
(
b
′
;
q
)
n
x
m
y
n
(
q
;
q
)
m
(
q
;
q
)
n
(
c
;
q
)
m
(
c
′
;
q
)
n
,
q-Appell-Phi-2
𝑎
𝑏
superscript
𝑏
′
𝑐
superscript
𝑐
′
𝑞
𝑥
𝑦
subscript
𝑚
𝑛
0
q-Pochhammer-symbol
𝑎
𝑞
𝑚
𝑛
q-Pochhammer-symbol
𝑏
𝑞
𝑚
q-Pochhammer-symbol
superscript
𝑏
′
𝑞
𝑛
superscript
𝑥
𝑚
superscript
𝑦
𝑛
q-Pochhammer-symbol
𝑞
𝑞
𝑚
q-Pochhammer-symbol
𝑞
𝑞
𝑛
q-Pochhammer-symbol
𝑐
𝑞
𝑚
q-Pochhammer-symbol
superscript
𝑐
′
𝑞
𝑛
{\displaystyle{\displaystyle\Phi^{(2)}\left(a;b,b^{\prime};c,c^{\prime};q;x,y%
\right)=\sum_{m,n\geq 0}\frac{\left(a;q\right)_{m+n}\left(b;q\right)_{m}\left(%
b^{\prime};q\right)_{n}x^{m}y^{n}}{\left(q;q\right)_{m}\left(q;q\right)_{n}%
\left(c;q\right)_{m}\left(c^{\prime};q\right)_{n}},}}
(
a
;
q
)
n
q-Pochhammer-symbol
𝑎
𝑞
𝑛
{\displaystyle{\displaystyle\left(\NVar{a};\NVar{q}\right)_{\NVar{n}}}}
q
𝑞
{\displaystyle{\displaystyle q}}
m
𝑚
{\displaystyle{\displaystyle m}}
n
𝑛
{\displaystyle{\displaystyle n}}
x
𝑥
{\displaystyle{\displaystyle x}}
y
𝑦
{\displaystyle{\displaystyle y}}
