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 2.8.E15 - MaRDI portal
Statements
W
n
,
1
(
u
,
ξ
)
=
Ai
(
u
2
/
3
ξ
)
(
∑
s
=
0
n
-
1
A
s
(
ξ
)
u
2
s
+
O
(
1
u
2
n
-
1
)
)
+
Ai
′
(
u
2
/
3
ξ
)
(
∑
s
=
0
n
-
2
B
s
(
ξ
)
u
2
s
+
(
4
/
3
)
+
O
(
1
u
2
n
-
1
)
)
,
subscript
𝑊
𝑛
1
𝑢
𝜉
Airy-Ai
superscript
𝑢
2
3
𝜉
superscript
subscript
𝑠
0
𝑛
1
subscript
𝐴
𝑠
𝜉
superscript
𝑢
2
𝑠
Big-O
1
superscript
𝑢
2
𝑛
1
diffop
Airy-Ai
1
superscript
𝑢
2
3
𝜉
superscript
subscript
𝑠
0
𝑛
2
subscript
𝐵
𝑠
𝜉
superscript
𝑢
2
𝑠
4
3
Big-O
1
superscript
𝑢
2
𝑛
1
{\displaystyle{\displaystyle W_{n,1}(u,\xi)=\mathrm{Ai}\left(u^{2/3}\xi\right)%
\left(\sum_{s=0}^{n-1}\frac{A_{s}(\xi)}{u^{2s}}+O\left(\frac{1}{u^{2n-1}}%
\right)\right)+\mathrm{Ai}'\left(u^{2/3}\xi\right)\left(\sum_{s=0}^{n-2}\frac{%
B_{s}(\xi)}{u^{2s+(4/3)}}+O\left(\frac{1}{u^{2n-1}}\right)\right),}}
Ai
(
z
)
Airy-Ai
𝑧
{\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}
O
(
x
)
Big-O
𝑥
{\displaystyle{\displaystyle O\left(\NVar{x}\right)}}
W
n
,
j
(
u
,
ξ
)
subscript
𝑊
𝑛
𝑗
𝑢
𝜉
{\displaystyle{\displaystyle W_{n,j}(u,\xi)}}
n
𝑛
{\displaystyle{\displaystyle n}}
A
s
(
ξ
)
subscript
𝐴
𝑠
𝜉
{\displaystyle{\displaystyle A_{s}(\xi)}}
B
s
(
ξ
)
subscript
𝐵
𝑠
𝜉
{\displaystyle{\displaystyle B_{s}(\xi)}}
u
𝑢
{\displaystyle{\displaystyle u}}
Identifiers
