2020/12/07 by Harald Hofstätter, Hofstätter, Harald
Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Mathematical functions and polynomials #Fractional Differential Equations Solutions
paper · pdf · doi:10.48550/arxiv.2012.03818
In a recent paper the author derived a formula for calculating common\ndenominators for the homogeneous components of the Baker-Campbell-Hausdorff\n(BCH) series. In the present work it is proved that this formula actually\nyields the smallest such common denominators. In an appendix a new efficient\nalgorithm for computing coefficients of the BCH series is presented, which is\nbased on these common denominators, and requires only integer arithmetic rather\nthan less efficient rational arithmetic.\n