gives the Mellin convolution with respect to x of the expressions f and g.
gives the multidimensional Mellin convolution.
Details and Options
- The Mellin convolution of two functions and is given by .
- The multidimensional Mellin convolution of two functions and is given by .
- The following options can be given:
Assumptions $Assumptions assumptions to make about parameters GenerateConditions False whether to generate conditions on parameters Method Automatic method to use
Examplesopen allclose all
Basic Uses (3)
Compute the PDF for the product of two random variables:
Compare with the result from TransformedDistribution:
Compare with the result given by Integrate:
Compute the argument that maximizes the integral in 0≤α≤5 using FindArgMax:
Properties & Relations (8)
MellinConvolve computes the integral :
Convolution with DiracDelta:
Derivatives of DiracDelta:
Derivative of MellinConvolve with respect to y: