# Prehistory of Faà di Bruno's Formula

@article{Craik2005PrehistoryOF, title={Prehistory of Fa{\`a} di Bruno's Formula}, author={Alex D. D. Craik}, journal={The American Mathematical Monthly}, year={2005}, volume={112}, pages={119 - 130} }

poraries on the series expansion of composite functions. Here, earlier work unnoticed in these papers is described. These anticipate many of the results attributed to others. This earlier work originates with Arbogast, with later reworkings by Knight, West, De Morgan, and others. The series expansion in powers of x of a suitably-differentiable composite function g(f(x)) has the form

## 80 Citations

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A restatement in terms of set partitions can be proved easily in a few lines, as the authors shall see in Section 2, though it still requires a bit of work to pass from that form to the form in (1.1).

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