6 problems

Let $(\mu_n)$ be a $\theta$-log-convex Stieltjes moment sequence, and let $(\mu_n^{\circ t})$ denote its Maxwell-Boltzmann convolution semigroup for $t\in\mathbf{R}_+$. The precedi…

Let $a,b\in \mathbb{R}$ with $0<a<b$. Let $(n_k)_{k \in \mathbb{N}}$ be a strictly increasing sequence of positive integers such that … A non-trivial signed measure with prescribed…

For $\alpha,\beta,\gamma>0$, let $F_{\alpha,\beta}^{(\gamma)}$ denote the generalized Mittag-Leffler function, and let $x>0$. Complete-monotonicity criterion conjecture. For every…

Alternating Turán-type inequality. For all $n\geq 0$ and $j,k\geq 1$, one has

Alternating moment identity.

Conjectural derivative identity.