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:10.52.E5 - MaRDI portal
Statements
𝗂
n
(
1
)
(
z
)
∼
𝗂
n
(
2
)
(
z
)
∼
1
2
z
-
1
e
z
,
asymptotically-equals
spherical-Bessel-I-1
𝑛
𝑧
spherical-Bessel-I-2
𝑛
𝑧
asymptotically-equals
1
2
superscript
𝑧
1
superscript
𝑒
𝑧
{\displaystyle{\displaystyle{\mathsf{i}^{(1)}_{n}}\left(z\right)\sim{\mathsf{i%
}^{(2)}_{n}}\left(z\right)\sim\tfrac{1}{2}z^{-1}e^{z},}}
|
ph
z
|
≤
1
2
π
-
δ
(
<
1
2
π
)
phase
𝑧
annotated
1
2
𝜋
𝛿
absent
1
2
𝜋
{\displaystyle{\displaystyle|\operatorname{ph}z|\leq\tfrac{1}{2}\pi-\delta(<%
\tfrac{1}{2}\pi)}}
∼
asymptotically-equals
{\displaystyle{\displaystyle\sim}}
π
{\displaystyle{\displaystyle\pi}}
e
{\displaystyle{\displaystyle\mathrm{e}}}
ph
phase
{\displaystyle{\displaystyle\operatorname{ph}}}
𝗂
n
(
1
)
(
z
)
spherical-Bessel-I-1
𝑛
𝑧
{\displaystyle{\displaystyle{\mathsf{i}^{(1)}_{\NVar{n}}}\left(\NVar{z}\right)}}
𝗂
n
(
2
)
(
z
)
spherical-Bessel-I-2
𝑛
𝑧
{\displaystyle{\displaystyle{\mathsf{i}^{(2)}_{\NVar{n}}}\left(\NVar{z}\right)}}
n
𝑛
{\displaystyle{\displaystyle n}}
z
𝑧
{\displaystyle{\displaystyle z}}
δ
𝛿
{\displaystyle{\displaystyle\delta}}
