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On the Lagrange inversion formula. (Sur la formule d’inversion de Lagrange.) (French. English summary) Zbl 1129.13023
Summary: We extend the Lagrange inversion formula to the case of a commutative ring and series having some nilpotent terms in front of the term of degree 1. The method is purely algebraic.
MSC:
13F25 Formal power series rings
05A15 Exact enumeration problems, generating functions
05A40 Umbral calculus
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