A New Proof of Meissner's Optimal Bound on the Degree of a Poincaré Multiplier and an Improved Optimal Degree Multiplier

Brittany Riggs

Let $f$ be a monic univariate polynomial. We say that $f$ is positive if $f(x)$ is positive over all $x>0$. If all the coefficients of $f$ are non-negative, then $f$ is trivially…