Combinatorial resolution of systems of differential equations. III: A special class of differentially algebraic series

DOI10.1016/S0195-6698(13)80035-2zbMath0757.34009MaRDI QIDQ1814085

Christophe Reutenauer, François Bergeron

Publication date: 25 June 1992

Published in: European Journal of Combinatorics (Search for Journal in Brave)

zbMATH Keywords

formal power seriesdifferentially algebraic seriesEuler, Bell, Stirling and Genocchi numbers

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Bernoulli and Euler numbers and polynomials (11B68) Nonlinear ordinary differential equations and systems (34A34) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25)

Related Items (7)

Motzkin numbers and related sequences modulo powers of 2 ⋮ Differential 2-rigs ⋮ Is the full susceptibility of the square-lattice Ising model a differentially algebraic function? ⋮ Constructible differentially finite algebraic series in several variables ⋮ Counting asymmetric enriched trees ⋮ The polynomial method for random matrices ⋮ Why Are So Many Problems Unsolved?

Cites Work

• Combinatorial resolution of systems of differential equations. IV: Separation of variables
• Power series solutions of algebraic differential equations
• Éclosions combinatoires appliquées à l'inversion multidimensionnelle des séries formelles. (Combinatorial bloomings applied to the multidimensional inversion of formal series)
• Differentiably finite power series
• Fonctionnelles causales non linéaires et indéterminées non commutatives
• Sur divers produits de séries formelles
• Recurrences for the Bernoulli and Euler numbers.
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