Invariance Property of Cauchy–Stieltjes Kernel Families Under Free and Boolean Multiplicative Convolutions

Invariance Property of Cauchy–Stieltjes Kernel Families Under Free and Boolean Multiplicative Convolutions

This article delves into some properties of free and Boolean multiplicative convolutions, in connection with the theory of Cauchy–Stieltjes kernel (CSK) families and their respective variance functions (VFs). Consider <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML"...

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Bibliographic Details
Main Authors: Fahad Alsharari, Raouf Fakhfakh, Fatimah Alshahrani
Format: Article
Language:English
Published: MDPI AG 2025-03-01
Series:Mathematics
Subjects:
Cauchy transform
multiplicative Boolean and free convolutions
variance function
Online Access:https://www.mdpi.com/2227-7390/13/7/1044
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