A COMBINATORIAL APPROACH TO THE OPPOSITE BI-FREE PARTIAL S-TRANSFORM

被引：3
作者：
Skoufranis, Paul [1 ]
机构：
[1] York Univ, Dept Math & Stat, 4700 Keele St, Toronto, ON M3J 1P3, Canada
来源：
OPERATORS AND MATRICES | 2018年 / 12卷 / 02期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Bi-free probability; partial bi-free S-transform; bi-free convolutions; COMMUTING RANDOM-VARIABLES; NON-CROSSING PARTITIONS; FREE PROBABILITY; MULTIPLICATIVE FUNCTIONS; FREE CONVOLUTION; PAIRS;
D O I：
10.7153/oam-2018-12-22
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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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页码：333 / 355
页数：23
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