2 problems

Let $k=k(n)$ be a parameter sequence, and let $\text{Lah}(n,k)$ denote the Lah distribution, with expectation $\operatorname{\mathbb{E}}\text{Lah}(n,k)$ and variance…

Let $P_{n,k}(t)$ be the generating polynomial associated with the Lah distribution. Negative-real-part zeroes conjecture. All complex zeroes of $P_{n,k}$ have negative real parts.…