A Combinatorial Approach to the Opposite Bi-Free Partial $S$-Transform

Published 8 May 2017 in math.OA and math.FA | (1705.02857v1)

Abstract: In this paper, we present a combinatorial approach to the opposite 2-variable bi-free partial $S$-transforms where the opposite multiplication is used on the right. In addition, extensions of this partial $S$-transforms to the conditional bi-free and operator-valued bi-free settings are discussed.

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Paul Skoufranis

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