DiscreteConvolve
DiscreteConvolve[f,g,n,m]
gives the convolution with respect to n of the expressions f and g.
DiscreteConvolve[f,g,{n1,n2,…},{m1,m2,…}]
gives the multidimensional convolution.
Details and Options

- The convolution
of two sequences
and
is given by
.
- The multidimensional convolution 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 VerifyConvergence True whether to verify convergence
Examples
open allclose allBasic Examples (2)
Scope (4)
Generalizations & Extensions (1)
Options (2)
Applications (1)
Properties & Relations (7)
See Also
Sum Convolve ListConvolve ZTransform GeneratingFunction FourierSequenceTransform DirichletConvolve
Related Guides
Introduced in 2008
(7.0)