Abstract
We show that positive α-stable densities are hyperbolically completely monotone if and only if α≤1/2. This gives a positive answer to a question raised by L. Bondesson in 1977.
Citation
Pierre Bosch. Thomas Simon. "A proof of Bondesson’s conjecture on stable densities." Ark. Mat. 54 (1) 31 - 38, April 2016. https://doi.org/10.1007/s11512-015-0216-0
Information
Received: 11 November 2014; Published: April 2016
First available in Project Euclid: 30 January 2017
zbMATH: 1364.60027
MathSciNet: MR3475816
Digital Object Identifier: 10.1007/s11512-015-0216-0
Rights: 2015 © Institut Mittag-Leffler