A Fuss-type family of positive definite sequences
Volume 151 / 2018
Colloquium Mathematicum 151 (2018), 289-304
MSC: Primary 44A60; Secondary 33C20, 46L54.
DOI: 10.4064/cm6894-2-2017
Published online: 12 January 2018
Abstract
We study a two-parameter family $a_{n}(p,t)$ of deformations of the Fuss numbers. We show a sufficient condition for positive definiteness of $a_n(p,t)$ and prove that some of the corresponding probability measures are infinitely divisible with respect to the additive free convolution.
