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:16.12.E2 - MaRDI portal
Statements
(
F
1
2
(
a
,
b
a
+
b
+
1
2
;
z
)
)
2
=
F
2
3
(
2
a
,
2
b
,
a
+
b
a
+
b
+
1
2
,
2
a
+
2
b
;
z
)
.
superscript
Gauss-hypergeometric-F-as-2F1
𝑎
𝑏
𝑎
𝑏
1
2
𝑧
2
Gauss-hypergeometric-pFq
3
2
2
𝑎
2
𝑏
𝑎
𝑏
𝑎
𝑏
1
2
2
𝑎
2
𝑏
𝑧
{\displaystyle{\displaystyle\left({{}_{2}F_{1}}\left({a,b\atop a+b+\frac{1}{2}%
};z\right)\right)^{2}={{}_{3}F_{2}}\left({2a,2b,a+b\atop a+b+\frac{1}{2},2a+2b%
};z\right).}}
F
1
2
(
a
,
b
;
c
;
z
)
Gauss-hypergeometric-F-as-2F1
𝑎
𝑏
𝑐
𝑧
{\displaystyle{\displaystyle{{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};%
\NVar{z}\right)}}
F
q
p
(
a
1
,
…
,
a
p
;
b
1
,
…
,
b
q
;
z
)
Gauss-hypergeometric-pFq
𝑝
𝑞
subscript
𝑎
1
…
subscript
𝑎
𝑝
subscript
𝑏
1
…
subscript
𝑏
𝑞
𝑧
{\displaystyle{\displaystyle{{}_{\NVar{p}}F_{\NVar{q}}}\left(\NVar{a_{1},\dots%
,a_{p}};\NVar{b_{1},\dots,b_{q}};\NVar{z}\right)}}
z
𝑧
{\displaystyle{\displaystyle z}}
a
,
a
1
,
…
,
a
p
𝑎
subscript
𝑎
1
…
subscript
𝑎
𝑝
{\displaystyle{\displaystyle a,a_{1},\ldots,a_{p}}}
b
,
b
1
,
…
,
b
q
𝑏
subscript
𝑏
1
…
subscript
𝑏
𝑞
{\displaystyle{\displaystyle b,b_{1},\ldots,b_{q}}}
Identifiers
