Geodesic
On the powers of Voiculescu's circular element
Ferenc Oravecz1
1 Mathematical Institute of the Hungarian Academy of Sciences Realtanoda u. 13-15 H-1053 Budapest, Hungary
Studia Mathematica, Tome 145 (2001) no. 1, pp. 85-95

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

The main result of the paper is that for a circular element $c$ in a $C^{*}$-probability space, $( c^n,c^{n^{*}}) $ is an $R$-diagonal pair in the sense of Nica and Speicher for every $n=1,2,\dots$ The coefficients of the $R$-series are found to be the generalized Catalan numbers of parameter $n-1$.
DOI : 10.4064/sm145-1-6
Keywords: main result paper circular element * probability space * r diagonal pair sense nica speicher every dots coefficients r series found generalized catalan numbers parameter n

Ferenc Oravecz 1

1 Mathematical Institute of the Hungarian Academy of Sciences Realtanoda u. 13-15 H-1053 Budapest, Hungary 
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Ferenc Oravecz. On the powers of Voiculescu's circular element. Studia Mathematica, Tome 145 (2001) no. 1, pp. 85-95. doi: 10.4064/sm145-1-6

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