Families of combinatorial solutions of \(y\prime = 1 + y^ 2\) and autonomous differential equations

DOI10.1016/0012-365X(93)90480-HzbMath0767.34011WikidataQ126323959 ScholiaQ126323959MaRDI QIDQ1801690

Gilbert Labelle, Yves Chiricota

Publication date: 20 June 1993

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

zbMATH Keywords

liftingsformal power seriesautonomous equationdifferential ring\({\mathbf L}\)-speciesatomic species

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) General theory for ordinary differential equations (34A99) Power series rings (13J05)

Related Items (2)

Trees, arborescences, and symmetric square roots ⋮ Symbolic representation of molecular species

Uses Software

• Maple

Cites Work

• 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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