The Fuss-Catalan distribution μ(p,r) is freely self-decomposable if and only if p=r with 1≤p≤2.
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Free self-decomposability and unimodality of the Fuss-Catalan distributions
The Fuss-Catalan distribution μ(p,r) is freely self-decomposable if and only if p=r with 1≤p≤2.