New monotonicity and infinite divisibility properties for the Mittag-Leffler function and for the stable distributions

Nuha Altaymani, Wissem Jedidi

Hyperbolic complete monotonicity property ($\mathrm{HCM}$) is a way to check if a distribution is a generalized gamma ($\mathrm{GGC}$), hence is infinitely divisible. In this work,…