Interpolating set partition statistics

DOI10.1016/0097-3165(94)90107-4zbMath0808.05003OpenAlexW2056240061MaRDI QIDQ1337170

Dennis E. White

Publication date: 30 October 1994

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(94)90107-4

zbMATH Keywords

generating functionsset partitionsnon-crossing statistics

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Partitions of sets (05A18) Combinatorics on words (68R15) Special sequences and polynomials (11B83) Graph theory (05C99)

Related Items

\(\sigma\)-restricted growth functions and \(p,q\)-Stirling numbers, The combinatorics of \(q\)-Charlier polynomials, Mahonian \(Z\) statistics, Non-crossing partitions for classical reflection groups, Recursive statistics on words, \(q\)-Stirling identities revisited, Weighted-inversion statistics and their symmetry groups, \(q\)-Stirling numbers: a new view, A combinatorial interpretation of the \(p,q\)-hit numbers, Set partition statistics and \(q\)-Fibonacci numbers, Euler-Mahonian statistics on ordered set partitions. II., From \(q\)-Stirling numbers to the ordered multiset partitions: a viewpoint from vincular patterns, Connection coefficients between generalized rising and falling factorial bases

Cites Work

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• A maj statistic for set partitions
• \(p,q\)-Stirling numbers and set partition statistics
• Reduced matrices and q-log-concavity properties of q-Stirling numbers
• A proof of Andrews' \(q\)-Dyson conjecture
• Combinatorial statistics on non-crossing partitions
• \(\sigma\)-restricted growth functions and \(p,q\)-Stirling numbers
• The q-Stirling numbers of first and second kinds