Éclosions combinatoires appliquées à l'inversion multidimensionnelle des séries formelles. (Combinatorial bloomings applied to the multidimensional inversion of formal series)
Inversion formulas of Taylor type, for systems of k power series in k indeterminates, are established by combinatorial means (using methods of combinatorial species). As consequences, some remarkable functional equations are obtained and a concrete example is given. The algorithms presented here can be easily adapted for computers.
scientific article; zbMATH DE number 3970754
scientific article