Five interpretations of Faà di Bruno’s formula
Alessandra FrabettiUniversité Claude Bernard Lyon 1, Villeurbanne, France
Dominique ManchonUniversité Blaise Pascal, Aubière, France
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In these lectures we present five interpretations of the Faà di Bruno formula which computes the -th derivative of the composition of two functions of one variable: in terms of groups, Lie algebras and Hopf algebras, in combinatorics and within operads.