In[]:=
$Version
Out[]=
14.2.0 for Microsoft Windows (64-bit) (December 26, 2024)
In[]:=
FourierTransform
Exp[-x^p]
x^m
/.p->2/.m->12,x,1.0
Out[]=
0.425166-0.425166
In[]:=
1
2Pi
*
-mπ

-
1
p
+
m
p
(
pπ

)
FoxH1-
1
p
+
m
p
,
1
p
,{},{{{0,1}},{}},
-1/p
(
pπ

)
w
p
+
FoxH{{{0,1}},{}},-
m
p
,
1
p
,{},

w

pw
/.p->2/.m->1/2/.w->1//N
Out[]=
0.425166-0.425166
(*Formulaworksonly:p>0,m<1,w∈Reals*)