Abstract
We characterize the complete monotonicity of the Kilbas-Saigo function on the negative half-line. We also provide the exact asymptotics at −∞, and uniform hyperbolic bounds are derived. The same questions are addressed for the classical Le Roy function. The main ingredient for the proof is a probabilistic representation of these functions in terms of the stable subordinator.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference25 articles.
1. Fractional integral and derivatives of Mittag-Leffler type function;Kilbas;Dokl. Akad. Nauk Belarus,1995
2. Mittag-Leffler Functions, Related Topics and Applications;Gorenflo,2020
3. Fractional extreme distributions
4. Fractional models of anomalous relaxation based on the Kilbas and Saigo function
5. Comparing Fréchet and positive stable laws
Cited by
17 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献