On the Stirling numbers associated with the meromorphic Weyl algebra

DOI10.1016/j.aml.2012.02.009zbMath1251.05009OpenAlexW2074472348MaRDI QIDQ712602

Toufik Mansour, Mark Shattuck, Matthias Schork

Publication date: 17 October 2012

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

Full work available at URL: https://doi.org/10.1016/j.aml.2012.02.009

zbMATH Keywords

Stirling numbersgeneralized Stirling numbersmeromorphic Weyl algebra

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bell and Stirling numbers (11B73) Factorials, binomial coefficients, combinatorial functions (05A10) (q)-calculus and related topics (05A30) Other combinatorial number theory (11B75)

Related Items (3)

Generalized Boole numbers and polynomials ⋮ Generalized \(q\)-Stirling numbers and their interpolation functions ⋮ Boson operator ordering identities from generalized Stirling and Eulerian numbers

Uses Software

• OEIS

Cites Work

• On a new family of generalized Stirling and Bell numbers
• The commutation relation \(xy=qyx+hf(y)\) and Newton's binomial formula
• Bessel summation formulae and operational methods
• Generalized Stirling and Lah numbers
• Generalized rook polynomials
• Analysis of the gift exchange problem
• Rook numbers and the normal ordering problem
• Quantum Symmetric Functions
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