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:17.6.E13 - MaRDI portal
Statements
ϕ
1
2
(
a
,
b
;
c
;
q
,
q
)
+
(
q
/
c
,
a
,
b
;
q
)
∞
(
c
/
q
,
a
q
/
c
,
b
q
/
c
;
q
)
∞
ϕ
1
2
(
a
q
/
c
,
b
q
/
c
;
q
2
/
c
;
q
,
q
)
=
(
q
/
c
,
a
b
q
/
c
;
q
)
∞
(
a
q
/
c
,
b
q
/
c
;
q
)
∞
,
q-hypergeometric-rphis
2
1
𝑎
𝑏
𝑐
𝑞
𝑞
q-multiple-Pochhammer
𝑞
𝑐
𝑎
𝑏
𝑞
q-multiple-Pochhammer
𝑐
𝑞
𝑎
𝑞
𝑐
𝑏
𝑞
𝑐
𝑞
q-hypergeometric-rphis
2
1
𝑎
𝑞
𝑐
𝑏
𝑞
𝑐
superscript
𝑞
2
𝑐
𝑞
𝑞
q-multiple-Pochhammer
𝑞
𝑐
𝑎
𝑏
𝑞
𝑐
𝑞
q-multiple-Pochhammer
𝑎
𝑞
𝑐
𝑏
𝑞
𝑐
𝑞
{\displaystyle{\displaystyle{{}_{2}\phi_{1}}\left(a,b;c;q,q\right)+\frac{\left%
(q/c,a,b;q\right)_{\infty}}{\left(c/q,aq/c,bq/c;q\right)_{\infty}}{{}_{2}\phi_%
{1}}\left(aq/c,bq/c;q^{2}/c;q,q\right)=\frac{\left(q/c,abq/c;q\right)_{\infty}%
}{\left(aq/c,bq/c;q\right)_{\infty}},}}
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)}}
(
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}}}}
q
𝑞
{\displaystyle{\displaystyle q}}
Identifiers
