Heim–Neuhauser's log-concavity challenge for D'Arcais polynomials
Let Pnσ(X)=∑k=0npnσ(k)XkP_n^\sigma(X)=\sum_{k=0}^n p_n^\sigma(k)X^kPnσ(X)=∑k=0npnσ(k)Xk be the D'Arcais polynomial defined by … and call a sequence (ak)k∈N(a_k)_{k\in\mathbb{N}}(ak)k∈N log-concave at k≥1k\geq 1k≥1 when…