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5. Zeros of derivatives


    1. Add remark

      Problem 5.1.

      [S. Edwards] Let $p\in\mathbb{R}[x]$, $\deg(p)=n>2$. There are at least $n-1$ points of extreme curvature $\kappa(p)$ ( more generally where $\kappa'(p)=0$ ) [MR2104693].


        • Add remark

          Problem 5.2.

          [A. Sokal] What are the zero spacing effects of higher order differential operators on functions which belong to $\mathcal{L}\text{-}\mathcal{P}$?

              Cite this as: AimPL: Stability and hyperbolicity, available at http://aimpl.org/hyperbolicpoly.