Compute a Mellin Transform
Compute the Mellin transform of a function using MellinTransform.
In[1]:=
![Click for copyable input](assets.en/compute-a-mellin-transform/In_1.png)
MellinTransform[E^(-a x), x, s]
Out[1]=
![](assets.en/compute-a-mellin-transform/O_1.png)
Plot the result for different values of .
In[2]:=
![Click for copyable input](assets.en/compute-a-mellin-transform/In_2.png)
MellinTransform[E^(-a x), x, s];
Plot[Table[% , {a, 1, 2, 1/4}] // Evaluate, {s, 0, 4}]
Out[2]=
![](assets.en/compute-a-mellin-transform/O_2.png)
Generate conditions for the validity of the result.
In[3]:=
![Click for copyable input](assets.en/compute-a-mellin-transform/In_3.png)
MellinTransform[E^(-a x), x, s, GenerateConditions -> True]
Out[3]=
![](assets.en/compute-a-mellin-transform/O_3.png)
Compute a multivariate Mellin transform.
In[4]:=
![Click for copyable input](assets.en/compute-a-mellin-transform/In_4.png)
MellinTransform[Cos[x - y^2], {x, y}, {s, t}]
Out[4]=
![](assets.en/compute-a-mellin-transform/O_4.png)
Create a table of basic Mellin transforms.
show complete Wolfram Language input
Out[5]//TraditionalForm=
![](assets.en/compute-a-mellin-transform/O_5.png)