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arXiv · 1608.03740

Subresultants in multiple roots: an extremal case

Alin Bostan·Carlos D'Andrea·Teresa Krick·Agnes Szanto·Marcelo Valdettaro
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Abstract

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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Alin Bostan, Carlos D'Andrea, Teresa Krick, Agnes Szanto, Marcelo Valdettaro. 2016-08-12. Subresultants in multiple roots: an extremal case. https://arxiv.org/abs/1608.03740

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