\(P\)-partitions and \(q\)-Stirling numbers

DOI10.1016/0097-3165(94)90090-6zbMath0809.05006OpenAlexW2084125934MaRDI QIDQ1336440

Seung Kyung Park

Publication date: 22 November 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)90090-6

zbMATH Keywords

\(q\)-Stirling numbers\(P\)-partition

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bell and Stirling numbers (11B73) (q)-calculus and related topics (05A30) Combinatorial aspects of partitions of integers (05A17) Permutations, words, matrices (05A05) Combinatorics of partially ordered sets (06A07)

Related Items (14)

On moment sequences and mixed Poisson distributions ⋮ A $q$-analogue for sums of powers ⋮ Generalized Stirling permutations and forests: higher-order Eulerian and Ward numbers ⋮ Generalized Stirling permutations, families of increasing trees and urn models ⋮ Stable multivariate Eulerian polynomials and generalized Stirling permutations ⋮ Jacobi-Stirling polynomials and \(P\)-partitions ⋮ Some notes on the \((q, t)\)-Stirling numbers ⋮ Stirling permutations on multisets ⋮ On the descent numbers and major indices for the hyperoctahedral group ⋮ Descents on quasi-Stirling permutations ⋮ \(q\)-Stirling numbers: a new view ⋮ MacMahon's equidistribution theorem for \(k\)-Stirling permutations ⋮ Analysis of Statistics for Generalized Stirling Permutations ⋮ Pattern restricted quasi-Stirling permutations

Cites Work

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• A maj statistic for set partitions
• \(p,q\)-Stirling numbers and set partition statistics
• Q-counting rook configurations and a formula of Frobenius
• Restricted growth functions, rank row matchings of partition lattices, and q-Stirling numbers
• A \(q\)-analog of the exponential formula
• Stirling polynomials
• The \(r\)-multipermutations
• The q-Stirling numbers of first and second kinds
• \(q\)-Bernoulli numbers and polynomials
• A q-Analog of Restricted Growth Functions, Dobinski's Equality, and Charlier Polynomials
• Ordered structures and partitions

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