Éclosions combinatoires appliquées à l'inversion multidimensionnelle des séries formelles. (Combinatorial bloomings applied to the multidimensional inversion of formal series) (Q1081603)
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scientific article; zbMATH DE number 3970754
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Éclosions combinatoires appliquées à l'inversion multidimensionnelle des séries formelles. (Combinatorial bloomings applied to the multidimensional inversion of formal series) |
scientific article; zbMATH DE number 3970754 |
Statements
Éclosions combinatoires appliquées à l'inversion multidimensionnelle des séries formelles. (Combinatorial bloomings applied to the multidimensional inversion of formal series) (English)
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1985
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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.
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reversion of indicatrix series
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Inversion formulas
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combinatorial species
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