Éclosions combinatoires appliquées à l'inversion multidimensionnelle des séries formelles. (Combinatorial bloomings applied to the multidimensional inversion of formal series)
type: Item
instance of: scholarly article
title: Éclosions combinatoires appliquées à l'inversion multidimensionnelle des séries formelles. (Combinatorial bloomings applied to the multidimensional inversion of formal series)
zbMATH Open document ID: 0602.05005
DOI: 10.1016/0097-3165(85)90083-4
author: Gilbert Labelle
published in: Journal of Combinatorial Theory. Series A
publication date: 1985-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 05A15
Mathematics Subject Classification ID: 05C05
zbMATH DE Number: 3970754
zbMATH Keywords: reversion of indicatrix series
zbMATH Keywords: Inversion formulas
zbMATH Keywords: combinatorial species
reviewed by: T. Spircu
MaRDI profile type: Publication
full work available at URL: 0097-3165(85)90083-4
OpenAlex ID: W2068757705
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description: scientific article; zbMATH DE number 3970754