Geodesic
Free powers of the free Poisson measure
Melanie Hinz 1   ; Wojciech Młotkowski 1
1 Mathematical Institute University of Wrocław Pl. Grunwaldzki 2/4 50-384 Wrocław, Poland
Colloquium Mathematicum, Tome 123 (2011) no. 2, pp. 285-290 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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

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