Log-concavity of $P$-recursive sequences

Q. H. Hou, G. J. Li

We consider the higher order Turán inequality and higher order log-concavity for sequences $\{a_n{\}}_{n\ge 0}$ such that \[ \frac{a_{n-1}a_{n+1}}{a_n^2} = 1 + \sum_{i=1}^m \frac{r_…