Section: New Results

Subresultants in Multiple Roots

In [3], we have provided explicit formulae for the coefficients of the order-$d$ polynomial subresultant of ${(x-\alpha )}^m$ and ${(x-\beta )}^n$ with respect to the set of Bernstein polynomials $\{{(x-\alpha )}^j{(x-\beta )}^{d-j},0\le j\le d\}$. They are given by hypergeometric expressions arising from determinants of binomial Hankel matrices.