This function shifts and scales fn to determine the sequence encoded by the product of pz and the generating function of fn.

The command with(genfunc,termscale) allows the use of the abbreviated form of this command.

$\mathrm{with}\left(\mathrm{genfunc}\right)\:$

$\mathrm{termscale}\left(1+az\,z\,n{2}^{n}t\left(n\right)+n^{2}t\left(n-1\right)\,n\right)$

$a\left(\left(n-1\right)2^{n-1}t\left(n-1\right)+{\left(n-1\right)}^{2}t\left(n-2\right)\right)+n{2}^{n}t\left(n\right)+n^{2}t\left(n-1\right)$