Carptopus

Real-rootedness, palindromicity, and gamma-positivity of antichain polynomials for [2] x [m] x [n]

For all positive integers m and n, this manuscript proves that the antichain generating polynomial of [2] x [m] x [n] has only negative real zeros. It also proves that the polynomial is palindromic exactly when |m-n|=1, and that every gamma coefficient is strictly positive in pre...

Real-rootedness, palindromicity, and gamma-positivity of antichain polynomials for [2] x [m] x [n]

For all positive integers m and n, this manuscript proves that the antichain generating polynomial of [2] x [m] x [n] has only negative real zeros. It also proves that the polynomial is palindromic exactly when |m-n|=1, and that every gamma coefficient is strictly positive in pre...