Preservation of log-concavity on gamma polynomials

Luis Ferroni, Greta Panova, Lorenzo Venturello

Every symmetric polynomial $h(x)$ with center of symmetry $n/2$ can be expressed as a linear combination in the basis $x^i(1+x{)}^{n-2i}$. The ${\hat{I}}^3$-polynomial of $h(x)$, which we den…