A Fuss-type family of positive definite sequences
Probability
2018-03-02 v1 Combinatorics
Abstract
We study a two-parameter family of deformations of the Fuss numbers. We show a sufficient condition for positive definiteness of and prove that some of the corresponding probability measures are infinitely divisible with respect to the additive free convolution.
Keywords
Cite
@article{arxiv.1507.07312,
title = {A Fuss-type family of positive definite sequences},
author = {Wojciech Młotkowski and Karol A. Penson},
journal= {arXiv preprint arXiv:1507.07312},
year = {2018}
}
Comments
14 pages