Free powers of the free Poisson measure
Melanie Hinz ; Wojciech Młotkowski
Colloquium Mathematicae, Tome 122 (2011), p. 285-290 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:284248 
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     title = {Free powers of the free Poisson measure},
     journal = {Colloquium Mathematicae},
     volume = {122},
     year = {2011},
     pages = {285-290},
     zbl = {1252.46068},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm123-2-11}
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Melanie Hinz; Wojciech Młotkowski. Free powers of the free Poisson measure. Colloquium Mathematicae, Tome 122 (2011) pp. 285-290. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm123-2-11/