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5. Zeros of derivatives


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      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].


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          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.