T. Simon

collaborators

2 papers

math.CA2025

Mittag-Leffler functions and convex ordering

Rui Ferreira, Thomas Simon

The monotonicity of the Mittag-Leffler function $E_{I^} \pm$ with respect to the parameter $I^\pm$ is investigated, via some convex ordering properties for related random variables. In part…

math.CV2025

On some inequalities for the two-parameter Mittag-Leffler function in the complex plane

Roberto Garrappa, Stefan Gerhold, Marina Popolizio +1

For the two-parameter Mittag-Leffler function $E_{I^\pm, I^^{2}}$ with $I^\pm > 0$ and $I^^{2} \geq 0,$ we consider the question whether $∣ E_{I^\pm, I^^{2}} (z) ∣$ and $E_{I^\pm, I^^{2}} (ℜ z)$ are comparable on the…