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arXiv · 1507.07312

A Fuss-type family of positive definite sequences

Wojciech Młotkowski·Karol A. Penson
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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.

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Wojciech Młotkowski, Karol A. Penson. 2015-07-27. A Fuss-type family of positive definite sequences. https://arxiv.org/abs/1507.07312

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