GenericIntegralTransform (1.0.0) current version: 3.1.4 »

Compute a variety of integral transforms on input expressions

Contributed by: Paco Jain & Oleg Marichev

ResourceFunction["GenericIntegralTransform"][f,z,t,"type"]

gives the integral transform 𝒯_type[f](t) corresponding to the input function f(z), in terms of the new variable t.

Details and Options

ResourceFunction["GenericIntegralTransform"] supports the following options:

Automatic

whether to provide conditions under which the given result is valid

"FoxHForm"

whether to provide results (where possible) in terms of the FoxH function

Currently supported values for "transform" include: "Mellin".

Compute the Mellin transform of a Bessel function:

In[1]:=

$ResourceFunction["GenericIntegralTransform"][ BesselJ[\[Nu], z], z, t, "Mellin"]$

Out[1]=

Compute the Mellin transform of an exponential function:

In[2]:=

Out[2]=