Faà di Bruno's note on eponymous formula, trilingual version

preprint2016arXivOpen access

Abstract

About 160 years ago, the Italian mathematician Faà di Bruno published two notes dealing about the now eponymous formula giving the derivative of any order of a composition of two functions. We reproduce here the two original notes, Faà di Bruno (1855, 1857), written respectively in Italian and in French, and propose a translation in English.

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