Positive stable densities and the bell-shape

We show that positive stable densities are bell-shaped, that is their n-th derivatives vanish exactly n times on (0,+oo) and have an alternating sign sequence. This confirms the graphic predictions of Holt and Crow (1973) in the positive case.

Data and Resources

Additional Info

Field Value
Source https://hal.science/hal-00784952
Author Simon, Thomas
Maintainer CCSD
Last Updated May 14, 2026, 16:46 (UTC)
Created May 14, 2026, 16:46 (UTC)
Identifier hal-00784952
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Laboratoire Paul Painlevé - UMR 8524 (LPP) ; Université de Lille-Centre National de la Recherche Scientifique (CNRS)
creator Simon, Thomas
date 2013-02-05T00:00:00
harvest_object_id f926252c-6921-47b5-b2f5-e6f3adeffc43
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2024-05-03T00:00:00
relation info:eu-repo/semantics/altIdentifier/arxiv/1302.0956
set_spec type:UNDEFINED