Geodesic
Free powers of the free Poisson measure
Melanie Hinz1 ; Wojciech Młotkowski1
1 Mathematical Institute University of Wrocław Pl. Grunwaldzki 2/4 50-384 Wrocław, Poland
Colloquium Mathematicum, Tome 123 (2011) no. 2, pp. 285-290.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We compute moments of the measures $(\mathbf{\varpi}^{\boxtimes p})^{\boxplus t}$, where $\varpi$ denotes the free Poisson law, and $\boxplus$ and $\boxtimes$ are the additive and multiplicative free convolutions. These moments are expressed in terms of the Fuss–Narayana numbers.
DOI : 10.4064/cm123-2-11
Keywords: compute moments measures mathbf varpi boxtimes boxplus where varpi denotes poisson law boxplus boxtimes additive multiplicative convolutions these moments expressed terms fuss narayana numbers

Melanie Hinz 1 ; Wojciech Młotkowski 1

1 Mathematical Institute University of Wrocław Pl. Grunwaldzki 2/4 50-384 Wrocław, Poland 
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Melanie Hinz; Wojciech Młotkowski. Free powers of the free Poisson measure. Colloquium Mathematicum, Tome 123 (2011) no. 2, pp. 285-290. doi : 10.4064/cm123-2-11. http://geodesic.mathdoc.fr/articles/10.4064/cm123-2-11/

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