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Digital Library of Mathematical Functions ID
2.5.E1
ℳ
f
(
z
)
=
∫
0
∞
t
z
-
1
f
(
t
)
d
t
,
Mellin-transform
𝑓
𝑧
superscript
subscript
0
superscript
𝑡
𝑧
1
𝑓
𝑡
𝑡
{\displaystyle{\displaystyle\mathscr{M}\mskip-3.0mu f\mskip 3.0mu \left(z% \right)=\int_{0}^{\infty}t^{z-1}f(t)\mathrm{d}t,}}
Constraint(s)
Symbols List
ℳ
(
f
)
(
s
)
Mellin-transform
𝑓
𝑠
{\displaystyle{\displaystyle\mathscr{M}\left(\NVar{f}\right)\left(\NVar{s}% \right)}}
: Mellin transform
d
x
𝑥
{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
: differential of x
∫
{\displaystyle{\displaystyle\int}}
: integral
f
(
x
)
𝑓
𝑥
{\displaystyle{\displaystyle f(x)}}
: locally integrable function
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