Numerical values of Goldberg’s coefficients in the series for 𝑙𝑜𝑔(𝑒^{𝑥}𝑒^{𝑦})

DOI10.1090/S0025-5718-1987-0866114-9zbMath0613.17006OpenAlexW1542655660MaRDI QIDQ3754150

Morris Newman, Robert C. Thompson

Publication date: 1987

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-1987-0866114-9

zbMATH Keywords

infinite seriesCampbell- Baker-Hausdorff formulaGoldberg algorithmwords of length twenty

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Software, source code, etc. for problems pertaining to nonassociative rings and algebras (17-04) Software, source code, etc. for problems pertaining to sequences, series, summability (40-04)

Related Items (11)

Computationally exact methods for stochastic periodic dynamics: spatiotemporal dispersal and temporally forced transmission ⋮ Explicit Baker-Campbell-Hausdorff expansions ⋮ Convergence proof for Goldberg's exponential series ⋮ Goldberg's theorem and the Baker-Campbell-Hausdorff formula ⋮ Lognormal Distributions and Geometric Averages of Symmetric Positive Definite Matrices ⋮ An effective version of the Lazard correspondence. ⋮ Recursion formulas for the Lie integral ⋮ Simplifying the Reinsch algorithm for the Baker–Campbell–Hausdorff series ⋮ The algebra of norms and expanding maps on groups ⋮ Models for free nilpotent Lie algebras ⋮ Cyclic shifts and an exponential formula

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