Une combinatoire sous-jacente au théorème des fonctions implicites. (Combinatorics underlying the implicit functions theorem)

DOI10.1016/0097-3165(85)90097-4zbMath0613.05006OpenAlexW2045484872MaRDI QIDQ1088665

Gilbert Labelle

Publication date: 1985

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(85)90097-4

zbMATH Keywords

implicit function theoremcombinatorial speciesLie seriescombinatorial equations

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15)

Related Items

On combinatorial differential equations ⋮ Combinatorics of Jacobi-configurations. III: The Srivastava-Singhal generating function revisited ⋮ Differential 2-rigs ⋮ Combinatorial resolution of systems of differential equations. IV: Separation of variables ⋮ Algorithms for combinatorial structures: well-founded systems and Newton iterations ⋮ Dérivées directionnelles et développements de Taylor combinatoires. (Directional derivatives and combinatorial Taylor expansions) ⋮ Algorithms for sequential generation of combinatorial structures ⋮ Sur l'approximation algébrique en degré de transcendance un. (On algebraic approximation in transcendence degree one)

Cites Work

• Éclosions combinatoires appliquées à l'inversion multidimensionnelle des séries formelles. (Combinatorial bloomings applied to the multidimensional inversion of formal series)
• Une nouvelle demonstration combinatoire des formules d'inversion de Lagrange
• Une théorie combinatoire des séries formelles
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