Some properties of the Kilbas-Saigo function
Classical Analysis and ODEs
2020-12-11 v1
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.
Cite
@article{arxiv.2012.05666,
title = {Some properties of the Kilbas-Saigo function},
author = {Lotfi Boudabsa and Thomas Simon},
journal= {arXiv preprint arXiv:2012.05666},
year = {2020}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1908.00584