Abstract
An earlier paper, to which this is a sequel, traced the history of the Laplace Transform up to 1880. In that year Poincaré reinvented the transform, but did so in a more powerful context, that of properly conceived complex analysis. Rapid developments followed, culminating in Doetsch' work in which the transform took its modern shape.
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Deakin, M.A.B. The development of the Laplace Transform, 1737–1937 II. Poincaré to Doetsch, 1880–1937. Arch. Hist. Exact Sci. 26, 351–381 (1982). https://doi.org/10.1007/BF00418754
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DOI: https://doi.org/10.1007/BF00418754