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 2.6.E62 - MaRDI portal
Statements
I
(
x
)
=
∑
j
=
0
n
-
1
a
j
ℳ
h
(
j
+
α
)
x
-
j
-
α
+
∑
k
=
0
n
-
1
b
k
ℳ
f
(
1
-
k
-
β
)
x
-
k
-
β
+
δ
n
(
x
)
𝐼
𝑥
superscript
subscript
𝑗
0
𝑛
1
subscript
𝑎
𝑗
Mellin-transform
ℎ
𝑗
𝛼
superscript
𝑥
𝑗
𝛼
superscript
subscript
𝑘
0
𝑛
1
subscript
𝑏
𝑘
Mellin-transform
𝑓
1
𝑘
𝛽
superscript
𝑥
𝑘
𝛽
subscript
𝛿
𝑛
𝑥
{\displaystyle{\displaystyle I(x)=\sum_{j=0}^{n-1}a_{j}\mathscr{M}\mskip-3.0mu%
h\mskip 3.0mu \left(j+\alpha\right)x^{-j-\alpha}+\sum_{k=0}^{n-1}b_{k}%
\mathscr{M}\mskip-3.0mu f\mskip 3.0mu \left(1-k-\beta\right)x^{-k-\beta}+%
\delta_{n}(x)}}
ℳ
(
f
)
(
s
)
Mellin-transform
𝑓
𝑠
{\displaystyle{\displaystyle\mathscr{M}\left(\NVar{f}\right)\left(\NVar{s}%
\right)}}
f
(
t
)
𝑓
𝑡
{\displaystyle{\displaystyle f(t)}}
I
(
x
)
𝐼
𝑥
{\displaystyle{\displaystyle I(x)}}
n
𝑛
{\displaystyle{\displaystyle n}}
a
n
subscript
𝑎
𝑛
{\displaystyle{\displaystyle a_{n}}}
b
n
subscript
𝑏
𝑛
{\displaystyle{\displaystyle b_{n}}}
h
(
x
)
ℎ
𝑥
{\displaystyle{\displaystyle h(x)}}
δ
n
(
x
)
subscript
𝛿
𝑛
𝑥
{\displaystyle{\displaystyle\delta_{n}(x)}}
Identifiers
