On multiple and infinite log-concavity

Luis A. Medina, Armin Straub

Following Boros--Moll, a sequence $(a_n)$ is $m$-log-concave if ${\mathcal{L}}^j(a_n)\ge 0$ for all $j=0,1,\dots ,m$. Here, $\mathcal{L}$ is the operator defined by $\mathcal…