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.
R. Achilles, A. Bonfiglioli (2012). The early proofs of the theorem of Campbell, Baker, Hausdorff and Dynkin. ARCHIVE FOR HISTORY OF EXACT SCIENCES, 66(3), 295-358 [10.1007/s00407-012-0095-8].
The early proofs of the theorem of Campbell, Baker, Hausdorff and Dynkin
ACHILLES, HANS JOACHIM RUDIGER;BONFIGLIOLI, ANDREA
2012
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.