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Free powers of the free Poisson measure

Melanie Hinz, Wojciech Młotkowski (2011)

Colloquium Mathematicae

We compute moments of the measures ( ϖ p ) t , where ϖ denotes the free Poisson law, and ⊞ and ⊠ are the additive and multiplicative free convolutions. These moments are expressed in terms of the Fuss-Narayana numbers.

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