A Fuss-type family of positive definite sequences
classification
🧮 math.PR
math.CO
keywords
familypositiveadditiveconditionconvolutioncorrespondingdefinitedefiniteness
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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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