Dérivées directionnelles et développements de Taylor combinatoires. (Directional derivatives and combinatorial Taylor expansions)

DOI10.1016/0012-365X(90)90336-GzbMath0717.05003OpenAlexW2041822125MaRDI QIDQ753815

Gilbert Labelle

Publication date: 1990

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0012-365x(90)90336-g

zbMATH Keywords

formal power seriesTaylor expansionscombinatorial directional derivative

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10)

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Binomial species and combinatorial exponentiation, Differential 2-rigs, Algorithms for combinatorial structures: well-founded systems and Newton iterations, The functorial composition of species, a forgotten operation, On asymmetric structures, Counting asymmetric enriched trees, On the symmetry and asymmetry of combinatorial structures

Cites Work

• Éclosions combinatoires appliquées à l'inversion multidimensionnelle des séries formelles. (Combinatorial bloomings applied to the multidimensional inversion of formal series)
• Une combinatoire sous-jacente au théorème des fonctions implicites. (Combinatorics underlying the implicit functions theorem)
• On combinatorial differential equations
• On the generalized iterates of Yeh's combinatorial \({\mathbb{K}}\)-species
• Sur l'inversion et i'itération continue des séries formelles
• Une théorie combinatoire des séries formelles
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