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Mathematics
Article . 2025 . Peer-reviewed
License: CC BY
Data sources: Crossref
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Studies on Cauchy–Stieltjes Kernel Families

descriptionPublicationkeyboard_double_arrow_right Article 02 Oct 2025 English Publisher:MDPI AGJournal:Mathematics, volume 13, page 3,158 (eissn: 2227-7390, Copyright policy )
Authors: Abdulmajeed Albarrak; Raouf Fakhfakh; Ghadah Alomani;

doi: 10.3390/math13193158

Studies on Cauchy–Stieltjes Kernel Families

Abstract

In the setting of Cauchy–Stieltjes kernel (CSK) families, this study provides some features of free Poisson, free Gamma, and free Binomial laws, as well as some innovative limit theorems linked to Fermi convolution. These findings highlight the fundamental links between noncommutative probability and analytic function theory, demonstrating the usefulness of CSK families for advancing the computational and theoretical aspects of free harmonic analysis.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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