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The early proofs of the theorem of Campbell, Baker, Hausdorff, and Dynkin

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Abstract

The aim of this paper is to provide a comprehensive exposition of the early contributions to the so-called Campbell, Baker, Hausdorff, Dynkin Theorem during the years 1890–1950. Related works by Schur, Poincaré, Pascal, Campbell, Baker, Hausdorff, and Dynkin will be investigated and compared. For a full recovery of the original sources, many mathematical details will also be furnished. In particular, we rediscover and comment on a series of five notable papers by Pascal (Lomb Ist Rend, 1901–1902), which nowadays are almost forgotten.

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  1. Dipartimento di Matematica, Università di Bologna, Piazza di Porta S. Donato 5, 40126, Bologna, Italy

    Rüdiger Achilles & Andrea Bonfiglioli

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  1. Rüdiger Achilles
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Communicated by: Umberto Bottazzini.

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Achilles, R., Bonfiglioli, A. The early proofs of the theorem of Campbell, Baker, Hausdorff, and Dynkin. Arch. Hist. Exact Sci. 66, 295–358 (2012). https://doi.org/10.1007/s00407-012-0095-8

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