Multiplicative strong unimodality for positive stable laws
arXiv:1002.4977
Abstract
It is known that real Non-Gaussian stable distributions are unimodal, not additive strongly unimodal, and multiplicative strongly unimodal in the symmetric case. By a theorem of Cuculescu-Theodorescu, the only remaining relevant situation for the multiplicative strong unimodality of stable laws is the one-sided. In this paper, we show that positive stable laws are multiplicative strongly unimodal iff