Subresultants in multiple roots: an extremal case

18 Apr 2017 Bostan Alin D'Andrea Carlos Krick Teresa Szanto Agnes Valdettaro Marcelo

We provide 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...

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  • COMMUTATIVE ALGEBRA
  • ALGEBRAIC GEOMETRY