Questions about determinants and polynomials

Details Questions about determinants and polynomials Questions about determinants and polynomials

2008-08-13

arxiv.org/abs/0808.1850v1

Mathematics

Classical Analysis and ODEs

6 pages

Scientific paper

We discuss several conjectures about the real-rootedness of polynomials whose
coefficients are determinants of coefficients of a real-rooted polynomial. We
also consider some questions about matrices generalizing totally positive
matrices, namely totally stable matrices and totally upper matrices.

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