scientific article; zbMATH DE number 7327915

zbMath1460.05024MaRDI QIDQ5856382

Mark Shattuck

Publication date: 26 March 2021

Full work available at URL: https://cs.uwaterloo.ca/journals/JIS/VOL24/Shattuck/shattuck24.html

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Laguerre polynomialcombinatorial proof\(q\)-generalizationpartial \(r\)-Bell polynomial

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) (q)-calculus and related topics (05A30) Permutations, words, matrices (05A05) Other combinatorial number theory (11B75)

Uses Software

• OEIS

Cites Work

• Generalized \(r\)-Lah numbers
• \(r\)-Whitney numbers of Dowling lattices
• On a new family of generalized Stirling and Bell numbers
• A general two-term recurrence and its solution
• The estimation of the zeros of the Bell and \( r\)-Bell polynomials
• The partial \(r\)-Bell polynomials
• New combinatorial interpretations of \(r\)-Whitney and \(r\)-Whitney-Lah numbers
• Exponential polynomials
• The \(r\)-Lah numbers
• Commutation Relations, Normal Ordering, and Stirling Numbers
• Rook theoretic proofs of some identities related to Spivey's Bell number formula
• Sums of r-Lah numbers and r-Lah polynomials
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