$\ell$-Log-momotonic and Laguerre Inequality of P-recursive Sequences

Guo-Jie Li

We consider $\ell$-log-momotonic sequences and Laguerre inequality of order two 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…