3 problems

Strong $q$-log-concavity conjecture. The polynomial sequence $\left(b_k(S;q)\right)_{k=\mathbf{h}(m)-m}^{\mathbf{h}(m)}$ is strongly $q$-log concave.

Let $g_{a,c}(\mu;x)$ be the family of functions defined in the paper, indexed by $\mu\geq 0$, with parameters $a$ and $c$. A family is Wright $q$-log-concave when it satisfies the…

Let $f(bc;x)$ be the family of functions defined in the paper, indexed by $bc\geq 0$. A family $c6(\mu)$ is Wright $q$-log-concave if its pairwise products satisfy the correspondin…