Say I have a power series s3 made up of some product of integer powers of other power series:
s1: sum (c1[i]*x^i, i, 1, inf);
s2: sum (c2[i]*x^i, i, 1, inf);
deftaylor(f(x), s1^2 * s2);
s3: powerseries(f(x), x, 0);
And I want to know the coefficient of x^1000 in s3 without having to calculate the first 999 terms.
Is there a good way to do this in Maxima?