A note on the infinitesimal Baker-Campbell-Hausdorff formula
Hirokazu Nishimura, Hirowaki Takamiya
TL;DR
This paper revisits the infinitesimal Baker-Campbell-Hausdorff formula, correcting previous errors for n=4 and extending the calculation to n=5 using computational tools.
Contribution
It provides corrected calculations for n=4 and new results for n=5 of the infinitesimal BCH formula, enhancing accuracy and extending existing mathematical knowledge.
Findings
Corrected errors in the n=4 case of the formula
Extended calculations to n=5 using Mathematica
Improved understanding of the infinitesimal BCH formula
Abstract
We have studied the infinitesimal Baker-Campbell-Hausdorff formula up to n=4 (Math. Appl. 2 (2013), 61-91). In this note we correct some errors in our calculation for n=4 and presents the calculation for n=5 by using Mathematica.
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Taxonomy
TopicsFractional Differential Equations Solutions · Mathematical and Theoretical Analysis · Advanced Topics in Algebra