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:17.9.E2 - MaRDI portal
Statements
ϕ
1
2
(
q
-
n
,
b
c
;
q
,
z
)
=
(
c
/
b
;
q
)
n
(
c
;
q
)
n
b
n
ϕ
1
3
(
q
-
n
,
b
,
q
/
z
b
q
1
-
n
/
c
;
q
,
z
/
c
)
,
q-hypergeometric-rphis
2
1
superscript
𝑞
𝑛
𝑏
𝑐
𝑞
𝑧
q-Pochhammer-symbol
𝑐
𝑏
𝑞
𝑛
q-Pochhammer-symbol
𝑐
𝑞
𝑛
superscript
𝑏
𝑛
q-hypergeometric-rphis
3
1
superscript
𝑞
𝑛
𝑏
𝑞
𝑧
𝑏
superscript
𝑞
1
𝑛
𝑐
𝑞
𝑧
𝑐
{\displaystyle{\displaystyle{{}_{2}\phi_{1}}\left({q^{-n},b\atop c};q,z\right)%
=\frac{\left(c/b;q\right)_{n}}{\left(c;q\right)_{n}}b^{n}{{}_{3}\phi_{1}}\left%
({q^{-n},b,q/z\atop bq^{1-n}/c};q,z/c\right),}}
(
a
;
q
)
n
q-Pochhammer-symbol
𝑎
𝑞
𝑛
{\displaystyle{\displaystyle\left(\NVar{a};\NVar{q}\right)_{\NVar{n}}}}
ϕ
s
r
+
1
(
a
0
,
…
,
a
r
;
b
1
,
…
,
b
s
;
q
,
z
)
q-hypergeometric-rphis
𝑟
1
𝑠
subscript
𝑎
0
…
subscript
𝑎
𝑟
subscript
𝑏
1
…
subscript
𝑏
𝑠
𝑞
𝑧
{\displaystyle{\displaystyle{{}_{\NVar{r+1}}\phi_{\NVar{s}}}\left(\NVar{a_{0},%
\dots,a_{r}};\NVar{b_{1},\dots,b_{s}};\NVar{q},\NVar{z}\right)}}
q
𝑞
{\displaystyle{\displaystyle q}}
n
𝑛
{\displaystyle{\displaystyle n}}
z
𝑧
{\displaystyle{\displaystyle z}}
