Log-concavity and LC-positivity

Yi Wang, Yeong-Nan Yeh

A triangle $\{a(n,k){\}}_{0\le k\le n}$ of nonnegative numbers is LC-positive if for each $r$, the sequence of polynomials ${\sum }_{k=r}^{n}a(n,k)q^k$ is $q$-log-concave. It is double…