Subresultants in multiple roots: an extremal case
Commutative Algebra
2017-04-19 v2 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.1608.03740,
title = {Subresultants in multiple roots: an extremal case},
author = {Alin Bostan and Carlos D'Andrea and Teresa Krick and Agnes Szanto and Marcelo Valdettaro},
journal= {arXiv preprint arXiv:1608.03740},
year = {2017}
}
Comments
18 pages, uses elsart. Revised version accepted for publication at Linear Algebra and its Applications