Year: 2013
Type: preprint
Abstract: We study the probability measure $μ_{0}$ for which the moment sequence is $\binom{3n}{n}\frac{1}{n+1}$. We prove that $μ_{0}$ is absolutely continuous, find the density function and prove that $μ_{0}$ is infinitely divisible with respect to the additive free convolution.
Source: arXiv (Cornell University)
Authors: Mlotkowski, Wojciech, Penson, Karol A.
Institution: University of Wrocław
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: Physique combinatoire
OpenAlex ID: W1649650382