Identities in combinatorics. I: On sorting two ordered sets

DOI10.1016/0012-365X(75)90001-1zbMath0301.05006MaRDI QIDQ1215629

George E. Andrews

Publication date: 1975

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

Mathematics Subject Classification ID

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

Related Items (13)

Interpretation of a basic hypergeometric identity with Lie characters and Young tableaux ⋮ Binomial identities -- combinatorial and algorithmic aspects ⋮ Some congruences on Delannoy numbers and Schröder numbers ⋮ Proof of some conjectures of Z.-W. Sun on congruences for Apéry polynomials ⋮ Arithmetic and equidistribution of measures on the sphere ⋮ Un modèle symétrique pour l'identité de Al-Salam-Fields. (A symmetric model for the identity of Al-Salam-Fields) ⋮ A Direct Proof for an Eigenvalue Problem by Counting Lagrangian Submanifolds ⋮ Proof of Sun's conjectures on integer-valued polynomials ⋮ Unnamed Item ⋮ The combinatorics of associated Hermite polynomials ⋮ On the divisibility of sums involving powers of multi-variable Schmidt polynomials ⋮ Identities in combinatorics. III: Further aspects of ordered set sorting ⋮ A bijective proof of the q-Saalschütz theorem

Cites Work

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• Combinatorial problems of commutation and rearrangements
• A new symmetrical combinatorial identity
• Remark on a Note of P. Turan
• Natural Sorting
• New Proof of a Classic Combinatorial Theorem
• Ordered structures and partitions

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