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:13.4.E16 - MaRDI portal
Statements
π
β‘
(
a
,
b
,
-
z
)
=
1
2
β’
Ο
β’
i
β’
Ξ
β‘
(
a
)
β’
β«
-
i
β’
β
i
β’
β
Ξ
β‘
(
a
+
t
)
β’
Ξ
β‘
(
-
t
)
Ξ
β‘
(
b
+
t
)
β’
z
t
β’
d
t
,
Kummer-confluent-hypergeometric-bold-M
π
π
π§
1
2
π
imaginary-unit
Euler-Gamma
π
superscript
subscript
imaginary-unit
imaginary-unit
Euler-Gamma
π
π‘
Euler-Gamma
π‘
Euler-Gamma
π
π‘
superscript
π§
π‘
π‘
{\displaystyle{\displaystyle{\mathbf{M}}\left(a,b,-z\right)=\frac{1}{2\pi%
\mathrm{i}\Gamma\left(a\right)}\int_{-\mathrm{i}\infty}^{\mathrm{i}\infty}%
\frac{\Gamma\left(a+t\right)\Gamma\left(-t\right)}{\Gamma\left(b+t\right)}z^{t%
}\mathrm{d}t,}}
|
ph
β‘
z
|
<
1
2
β’
Ο
phase
π§
1
2
π
{\displaystyle{\displaystyle|\operatorname{ph}{z}|<\tfrac{1}{2}\pi}}
Ξ
β‘
(
z
)
Euler-Gamma
π§
{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
π
β‘
(
a
,
b
,
z
)
Kummer-confluent-hypergeometric-bold-M
π
π
π§
{\displaystyle{\displaystyle{\mathbf{M}}\left(\NVar{a},\NVar{b},\NVar{z}\right%
)}}
Ο
{\displaystyle{\displaystyle\pi}}
d
x
π₯
{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
i
imaginary-unit
{\displaystyle{\displaystyle\mathrm{i}}}
β«
{\displaystyle{\displaystyle\int}}
ph
phase
{\displaystyle{\displaystyle\operatorname{ph}}}
z
π§
{\displaystyle{\displaystyle z}}
Identifiers
