Lagrange inversion for species

DOI10.1016/0097-3165(95)90030-6zbMath0833.05081OpenAlexW1978061689MaRDI QIDQ1899063

Ira M. Gessel, Gilbert Labelle

Publication date: 11 March 1996

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(95)90030-6

zbMATH Keywords

differential operatorssymmetric functionsspeciesPólya's theoremcycle index seriesLagrange power series inversion theorem

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Symmetric functions and generalizations (05E05) Algebraic combinatorics (05E99)

Related Items

The plethystic inverse of a formal power series ⋮ Stirling pairs of permutations ⋮ Multipermutations and Stirling multipermutations ⋮ A Determinant Identity Implying the Lagrange–Good Inversion Formula ⋮ Lagrange inversion ⋮ On the symmetry and asymmetry of combinatorial structures ⋮ Counting tanglegrams with species ⋮ A Quillen Adjunction Between Algebras and Operads, Koszul Duality, and the Lagrange Inversion Formula ⋮ The theory of compositionals ⋮ Compositional calculus

Cites Work

• A combinatorial proof of the multivariable Lagrange inversion formula
• The relation between Burnside rings and combinatorial species
• Une nouvelle demonstration combinatoire des formules d'inversion de Lagrange
• Une théorie combinatoire des séries formelles
• Computation of the expected number of leaves in a tree having a given automorphism, and related topics
• The functorial composition of species, a forgotten operation
• A bijective proof of infinite variated Good's inversion
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item