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The curious history of Faà di Bruno’s formula. (English) Zbl 1024.01010
Faà di Bruno published his formula concerning the m-th derivative of a composite function g(f(t)) in December 1855. In the present paper it is pointed out that several other mathematicians found different expressions of the m-th derivative of g(f(t)) in the 19th century. These are all independent of Faà di Bruno’s work and a few of them predate it. Faà di Bruno was neither the first to state the formula that bears his name, nor the first to prove it.

MSC:
01A55Mathematics in the 19th century
26-03Historical (real functions)
26A24Differentiation of functions of one real variable
05A18Partitions of sets