Combinatorial sums and implicit Riordan arrays

DOI10.1016/j.disc.2007.12.039zbMath1157.05005OpenAlexW2060378933MaRDI QIDQ998542

Renzo Sprugnoli, Maria Cecilia Verri, Donatella Merlini

Publication date: 28 January 2009

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

Full work available at URL: https://doi.org/10.1016/j.disc.2007.12.039

zbMATH Keywords

generating functionsLagrange inversion formulaRiordan arrayscombinatorial sums inversion

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19)

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Cites Work

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• Lagrange inversion: when and how
• The Riordan group
• Pascal triangles, Catalan numbers and renewal arrays
• Riordan arrays and combinatorial sums
• Inverse relations and Schauder bases
• A divisibility property for a subgroup of Riordan matrices
• Decomposition and group theoretic characterization of pairs of inverse relations of the Riordan type
• The Method of Coefficients