Normal ordering associated with \(\lambda\)-Stirling numbers in \(\lambda\)-shift algebra

DOI10.1515/dema-2022-0250arXiv2302.09710MaRDI QIDQ6102797

Dae San Kim, Taekyun Kim, Hye Kyung Kim

Publication date: 23 June 2023

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.09710

zbMATH Keywords

normal ordering\(\lambda\)-shift algebra\(\lambda\)-\(r\)-Stirling numbers of the first kindunsigned \(\lambda\)-Stirling numbers of the first kind

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73)

Related Items (2)

Probabilistic degenerate Stirling polynomials of the second kind and their applications ⋮ Boson operator ordering identities from generalized Stirling and Eulerian numbers

Cites Work

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• The \(r\)-Stirling numbers
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• Rook numbers and the normal ordering problem
• Some identities on degenerate \(r\)-Stirling numbers via Boson operators
• Some identities on λ-analogues of r-Stirling numbers of the first kind
• Normal ordering in the shift algebra and the dual of Spivey’s identity
• Some identities involving degenerate Stirling numbers associated with several degenerate polynomials and numbers

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