\(\sigma\)-restricted growth functions and \(p,q\)-Stirling numbers

DOI10.1016/0097-3165(94)90117-1zbMath0806.05002OpenAlexW2017498386MaRDI QIDQ1337181

Michelle L. Wachs

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)90117-1

zbMATH Keywords

wordsStirling numberspermutationset partitionsrestricted growth functions

Mathematics Subject Classification ID

Partitions of sets (05A18) Bell and Stirling numbers (11B73) Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorics on words (68R15)

Related Items

Interpolating set partition statistics ⋮ Some trapezoid and midpoint type inequalities via fractional \((p,q)\)-calculus ⋮ 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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• Congruence properties of \(q\)-analogs
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• Interpolating set partition statistics
• The q-Stirling numbers of first and second kinds
• A q-Analog of Restricted Growth Functions, Dobinski's Equality, and Charlier Polynomials