paper

Remark on a Mittag-Leffler function of Le Roy type

arXiv:2012.11018

Abstract

We give some necessary and some sufficient conditions for the complete monotonicity on the negative half-line of a Mittag-Leffler function of Le Roy type. It is conjectured that the underlying positive random variable, when it exists, must be logarithmically infinitely divisible.

A remark has been added on moments of Gamma type