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So when I enter this in Mathematica

In[246] = ZTransform[Sum[f[k] g[k - n], {k, 0, n}], n, z]

InverseZTransform[%, z, n]

I get:

Out[246] = ZTransform[f[n], n, z] ZTransform[g[-n], n, z]

Out[247] = InverseZTransform[ZTransform[f[n], n, z] ZTransform[g[-n], n, z], z,

n]

Which means that although the software uses the convolution property of the Z-transform, it doesn't use it for the InverseZTransform. Any ideas how to make it use it?

Thanks!

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# Convolution property for InverseZtransform in Mathematica

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