Bivariate extension of the \(r\)-Dowling polynomials and two forms of generalized Spivey's formula

DOI10.1007/S13226-022-00288-9zbMath1517.05028arXiv2005.08730MaRDI QIDQ6114135

Mahid M. Mangontarum

Publication date: 14 August 2023

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.08730

zbMATH Keywords

\(r\)-Dowling polynomials\(r\)-Whitney numbers of the second kindbivariate Bell polynomialsSpivey formula

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Combinatorial identities, bijective combinatorics (05A19) Special sequences and polynomials (11B83)

Cites Work

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• \(r\)-Whitney numbers of Dowling lattices
• A new formula for the Bernoulli polynomials
• On generalized Bell polynomials
• The \(r\)-Stirling numbers
• A generalized recurrence for Bell polynomials: an alternate approach to Spivey and Gould-Quaintance formulas
• Exponential polynomials, Stirling numbers, and evaluation of some gamma integrals
• On Whitney numbers of Dowling lattices
• A unified approach to generalized Stirling numbers
• The translated Dowling polynomials and numbers
• The noncentral version of the Whitney numbers: a comprehensive study
• Non-central Stirling numbers and some applications
• The $r$-Bell numbers

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