On the combinatorics of the Pfaff identity

DOI10.1016/j.disc.2008.04.048zbMath1191.33001OpenAlexW1974364772MaRDI QIDQ1025474

Sabrina X. M. Pang, William Y. C. Chen

Publication date: 19 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.disc.2008.04.048

zbMATH Keywords

permutationDyck pathSchröder path

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (5)

Combinatorics of a generalized Narayana identity ⋮ Unnamed Item ⋮ On the combinatorics of the Boros-Moll polynomials ⋮ Identities involving Narayana polynomials and Catalan numbers ⋮ Some statistics on generalized Motzkin paths with vertical steps

Cites Work

• Modèles combinatoires pour les polynômes de Meixner
• Combinatorial proofs of some limit formulas involving orthogonal polynomials
• Bell polynomials and \(k\)-generalized Dyck paths
• Identities from weighted Motzkin paths
• Jacobi polynomials: Combinatorics of the basic identities
• Some combinatorics of the hypergeometric series
• From sets to functions: Three elementary examples
• On the structure of the lattice of noncrossing partitions
• Dyck path enumeration
• Enumerating a class of lattice paths
• Reduction of \(m\)-regular noncrossing partitions
• The butterfly decomposition of plane trees
• A telescoping method for double summations
• The Combinatorics of Laguerre, Charlier, and Hermite Polynomials
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