Determinants involving \(q\)-Stirling numbers

DOI10.1016/S0196-8858(03)00029-0zbMath1071.05011OpenAlexW2101641278MaRDI QIDQ2486638

Richard Ehrenborg

Publication date: 5 August 2005

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0196-8858(03)00029-0

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Factorials, binomial coefficients, combinatorial functions (05A10) (q)-calculus and related topics (05A30)

Related Items

Unnamed Item ⋮ Determinants involving the numbers of the Stirling-type ⋮ On two kinds of \(q\)-analogues of generalized Stirling numbers ⋮ Generalized \(q\)-Stirling numbers and their interpolation functions ⋮ \(q\)-Stirling numbers in type \(B\) ⋮ \(q\)-Stirling identities revisited ⋮ Two classes of \(p\)-Stirling numbers ⋮ Kostant's partition function and magic multiplex juggling sequences ⋮ Dually weighted Stirling-type sequences ⋮ Set partitions with restrictions ⋮ The Hankel transform of \(q\)-noncentral Bell numbers ⋮ Excedances of affine permutations ⋮ The Faà di Bruno formula and determinant identities ⋮ Advanced determinant calculus: a complement ⋮ Unnamed Item ⋮ Geometric juggling with \(q\)-analogues

Cites Work

• 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
• Hankel determinant constructed on polynomials associated with the number of derangements
• A unified combinatorial approach for \(q\)- (and \(p,q\)-) Stirling numbers
• A characterization of the Bell numbers
• A note on the binomial drop polynomial of a poset
• Stirling numbers interpolation using permutations with forbidden subsequences
• Juggling and applications to \(q\)-analogues
• Addition formulas for polynomials built on classical combinatorial sequences
• \(q\)-Bernoulli numbers and polynomials
• The Hankel Determinant of Exponential Polynomials
• A q-Analog of Restricted Growth Functions, Dobinski's Equality, and Charlier Polynomials
• Juggling Drops and Descents
• The Hankel Determinant of Exponential Polynomials: A Very Short Proof and a New Result Concerning Euler Numbers
• On the Foundations of Combinatorial Theory IV Finite Vector Spaces and Eulerian Generating Functions
• Hankel determinants and the Sylvester theorem
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• Unnamed Item