Free Probability for Pairs of Faces III: 2-Variables Bi-free Partial S- and T-Transforms
arXiv:1504.03765
Abstract
We introduce two 2-variables transforms: the partial bi-free S-transform and the partial bi-free T-transform. These transforms are the analogues for the bi-multiplicative and respectively for the additive-multiplicative bi-free convolution of the 2-variables partial bi-free R-transform in our previous paper in this series.
16 pages, corrected typos and added a note at the end after the references