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:15.10.E28 - MaRDI portal
Statements
w
4
(
z
)
=
e
(
b
-
c
)
π
i
Γ
(
c
-
a
-
b
+
1
)
Γ
(
b
-
a
)
Γ
(
1
-
a
)
Γ
(
c
-
a
)
w
5
(
z
)
+
e
(
a
-
c
)
π
i
Γ
(
c
-
a
-
b
+
1
)
Γ
(
a
-
b
)
Γ
(
1
-
b
)
Γ
(
c
-
b
)
w
6
(
z
)
.
subscript
𝑤
4
𝑧
superscript
𝑒
𝑏
𝑐
𝜋
imaginary-unit
Euler-Gamma
𝑐
𝑎
𝑏
1
Euler-Gamma
𝑏
𝑎
Euler-Gamma
1
𝑎
Euler-Gamma
𝑐
𝑎
subscript
𝑤
5
𝑧
superscript
𝑒
𝑎
𝑐
𝜋
imaginary-unit
Euler-Gamma
𝑐
𝑎
𝑏
1
Euler-Gamma
𝑎
𝑏
Euler-Gamma
1
𝑏
Euler-Gamma
𝑐
𝑏
subscript
𝑤
6
𝑧
{\displaystyle{\displaystyle w_{4}(z)=e^{(b-c)\pi\mathrm{i}}\frac{\Gamma\left(%
c-a-b+1\right)\Gamma\left(b-a\right)}{\Gamma\left(1-a\right)\Gamma\left(c-a%
\right)}w_{5}(z)+e^{(a-c)\pi\mathrm{i}}\frac{\Gamma\left(c-a-b+1\right)\Gamma%
\left(a-b\right)}{\Gamma\left(1-b\right)\Gamma\left(c-b\right)}w_{6}(z).}}
Γ
(
z
)
Euler-Gamma
𝑧
{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
π
{\displaystyle{\displaystyle\pi}}
e
{\displaystyle{\displaystyle\mathrm{e}}}
i
imaginary-unit
{\displaystyle{\displaystyle\mathrm{i}}}
z
𝑧
{\displaystyle{\displaystyle z}}
a
𝑎
{\displaystyle{\displaystyle a}}
b
𝑏
{\displaystyle{\displaystyle b}}
c
𝑐
{\displaystyle{\displaystyle c}}
w
m
(
z
)
subscript
𝑤
𝑚
𝑧
{\displaystyle{\displaystyle w_{m}(z)}}
Identifiers
