Partial Fraction Decomposition Using Complex Factors

A few days ago I wrote about my solution for factoring a polynomial into factors corresponding to complex roots,  factorC.

One of the uses for that utility is to perform a partial fractions decomposition of rational functions.  Here’s a complex partial fraction function that uses factorC and the built-in Maxima function partfrac.

partfracC(_f,_z):=block(
[d,fd],
d:denom(_f),
fd:factorC(d,_z),
partfrac(1/fd,_z)
);