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:30.11.E10 - MaRDI portal
Statements
K
n
m
(
γ
)
=
π
2
(
γ
2
)
m
(
-
1
)
m
a
n
,
1
2
(
m
-
n
)
-
m
(
γ
2
)
Γ
(
3
2
+
m
)
A
n
-
m
(
γ
2
)
𝖯𝗌
n
m
(
0
,
γ
2
)
,
superscript
subscript
𝐾
𝑛
𝑚
𝛾
𝜋
2
superscript
𝛾
2
𝑚
superscript
1
𝑚
superscript
subscript
𝑎
𝑛
1
2
𝑚
𝑛
𝑚
superscript
𝛾
2
Euler-Gamma
3
2
𝑚
superscript
subscript
𝐴
𝑛
𝑚
superscript
𝛾
2
spheroidal-wave-on-cut-Ps
𝑚
𝑛
0
superscript
𝛾
2
{\displaystyle{\displaystyle K_{n}^{m}(\gamma)=\frac{\sqrt{\pi}}{2}\left(\frac%
{\gamma}{2}\right)^{m}\frac{(-1)^{m}a_{n,\frac{1}{2}(m-n)}^{-m}(\gamma^{2})}{%
\Gamma\left(\frac{3}{2}+m\right)A_{n}^{-m}(\gamma^{2})\mathsf{Ps}^{m}_{n}\left%
(0,\gamma^{2}\right)},}}
n
-
m
𝑛
𝑚
{\displaystyle{\displaystyle n-m}}
Γ
(
z
)
Euler-Gamma
𝑧
{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
π
{\displaystyle{\displaystyle\pi}}
𝖯𝗌
n
m
(
x
,
γ
2
)
spheroidal-wave-on-cut-Ps
𝑚
𝑛
𝑥
superscript
𝛾
2
{\displaystyle{\displaystyle\mathsf{Ps}^{\NVar{m}}_{\NVar{n}}\left(\NVar{x},%
\NVar{\gamma^{2}}\right)}}
m
𝑚
{\displaystyle{\displaystyle m}}
n
≥
m
𝑛
𝑚
{\displaystyle{\displaystyle n\geq m}}
A
n
m
(
γ
2
)
superscript
subscript
𝐴
𝑛
𝑚
superscript
𝛾
2
{\displaystyle{\displaystyle A_{n}^{m}(\gamma^{2})}}
K
n
m
(
γ
)
superscript
subscript
𝐾
𝑛
𝑚
𝛾
{\displaystyle{\displaystyle K_{n}^{m}(\gamma)}}
γ
2
superscript
𝛾
2
{\displaystyle{\displaystyle\gamma^{2}}}
a
n
,
k
m
(
γ
2
)
subscript
superscript
𝑎
𝑚
𝑛
𝑘
superscript
𝛾
2
{\displaystyle{\displaystyle a^{m}_{n,k}(\gamma^{2})}}
Identifiers
