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math.CO2014
Deriving Faà di Bruno's formula for the derivative of a composite function via compositions of integers
Steffen Eger
We give yet another proof for Faà di Bruno's formula for higher derivatives of composite functions. Our proof technique relies on reinterpreting the composition of two power series…
math.CO2012★ 2 cited
Asymptotic normality of integer compositions inside a rectangle
Steffen Eger
Among all restricted integer compositions with at most parts, each of which has size at most , choose one uniformly at random. Which integer does this composition represent?…