Faà di Bruno's Formula/Historical Note
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Historical Note on Faà di Bruno's Formula
Faà di Bruno himself published this result in Barnaba Tortolini's magazine Annali di Scienze Matematiche e Fisiche in $1855$, and again in The Quarterly Journal of Pure and Applied Mathematics in $1857$.
- 1961: I.J. Good: The Multivariate Saddlepoint Method and Chi-Squared for the Multinomial Distribution (Ann. Math. Stat. Vol. 32: pp. 535 – 548)
- 1997: Donald E. Knuth: The Art of Computer Programming: Volume 1: Fundamental Algorithms (3rd ed.) ... (previous) ... (next): $\S 1.2.5$: Permutations and Factorials: Exercise $21$