Quelques Formules dʹInversion à Plusieurs Variables

In this paper, we use divided differences to give algebraic identities involving a finite number of infinite sets of variables (Propositions 6, 7, and 12). Specializing the sets of variables, we recover the formulas of Carlitz (Corollaries 15 and 20), and an inversion formula of Chu Wenchang (Corollary 16). We also prove a q-analog of their results, and we give a mixed case (Proposition 19).