A combinatorial approach to Voiculescu's bi-free partial transforms

Paul Skoufranis
2016 Pacific Journal of Mathematics  
In this paper, we present a combinatorial approach to the 2-variable bi-free partial S- and T-transforms recently discovered by Voiculescu. This approach produces an alternate definition of said transforms using (ℓ, r)-cumulants.
doi:10.2140/pjm.2016.283.419 fatcat:ms37u3256zbg7lzorawsr3u3ce