Computing moments of free additive convolution of measures

This short note explains how to use ready-to-use components of symbolic software to convert between the free cumulants and the moments of measures without sophisticated programming. This allows quick access to low order moments of free convolutions of measures, which can be used to test whether a gi...

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Bibliographic Details
Published in:Applied mathematics and computation 2007-12, Vol.194 (2), p.561-567
Main Author: Bryc, Włodzimierz
Format: Article
Language:English
Subjects:
Exact sciences and technology
Free cumulants
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
R-transform
Sciences and techniques of general use
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Summary:This short note explains how to use ready-to-use components of symbolic software to convert between the free cumulants and the moments of measures without sophisticated programming. This allows quick access to low order moments of free convolutions of measures, which can be used to test whether a given probability measure is a free convolution of other measures.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2007.04.025