Free Probability for Pairs of Faces III: 2-Variables Bi-free Partial S- and T-Transforms

Dan-Virgil Voiculescu

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arXiv · 1504.03765

Free Probability for Pairs of Faces III: 2-Variables Bi-free Partial S- and T-Transforms

Dan-Virgil Voiculescu

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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.

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BibTeX RIS

Dan-Virgil Voiculescu. 2015-04-15. Free Probability for Pairs of Faces III: 2-Variables Bi-free Partial S- and T-Transforms. https://arxiv.org/abs/1504.03765

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