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THE COMBINATORICS OF THE r-FREE CONVOLUTION

Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2003
In this paper we shall give combinatorial remarks on the r-free convolution. In particular, we shall introduce the set partition statistic on non-crossing partitions, which gives the r-free deformed moment-cumulant formula. We shall also give the probability measure of the r-free Poisson law and its moments, exactly.
Krystek, Anna, Yoshida, Hiroaki
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