scientific article; zbMATH DE number 7099533

zbMath1463.11056MaRDI QIDQ5230857

Charles B. Montero, Maribeth Montero, Jay M. Ontolan, Roberto B. Corcino

Publication date: 29 August 2019

Full work available at URL: https://www.ejpam.com/index.php/ejpam/article/view/3494

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

zbMATH Keywords

Bell polynomialsLah numbersFaa di Bruno's formula\(r\)-Dowling numbers\(r\)-Whitney numbers\(r\)-Whitney-Lah numbers\((r,\beta)\)-Bell numbers

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bell and Stirling numbers (11B73) Binomial coefficients; factorials; (q)-identities (11B65)

Cites Work

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• \(r\)-Whitney numbers of Dowling lattices
• Generalized Bell polynomials and the combinatorics of Poisson central moments
• A new formula for the Bernoulli polynomials
• On generalized Bell polynomials
• An explicit formula for the Bell numbers in terms of the Lah and Stirling numbers
• Lah numbers, Laguerre polynomials of order negative one, and the \(n\)th derivative of \(\exp(1/x)\)
• The \(r\)-Stirling numbers
• Exponential polynomials, Stirling numbers, and evaluation of some gamma integrals
• A unified approach to generalized Stirling numbers
• Non-central Stirling numbers and some applications
• The \(r\)-Lah numbers
• The Lah Numbers and thenth Derivative of e^1/x
• The $r$-Bell numbers
• On Some Numbers Related to the Bell Numbers
• Analogies of the Qi formula for some Dowling type numbers

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