The estimation of the zeros of the Bell and \( r\)-Bell polynomials

DOI10.1016/j.amc.2014.10.058zbMath1328.05005OpenAlexW2093131792WikidataQ56228122 ScholiaQ56228122MaRDI QIDQ902773

Roberto B. Corcino, István Mezö

Publication date: 4 January 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.10.058

zbMATH Keywords

zeros of polynomialsStirling numbersBell numbers\(r\)-Bell numbers\( r\)-Stirling numberszero estimation

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10)

Related Items (9)

The estimation of the zeros of some counting polynomials ⋮ Unnamed Item ⋮ Mod-\( \phi\) convergence of Stirling distributions and limit theorems for zeros of their generating functions ⋮ A formula relating Bell polynomials and Stirling numbers of the first kind ⋮ Real zeros and partitions without singleton blocks ⋮ Some limit theorems with respect to constrained permutations and partitions ⋮ The orthomorphism graph \(\mathcal{L}_3(q)\) ⋮ Eulerian numbers associated with arithmetical progressions ⋮ Some polynomials associated with the \(r\)-Whitney numbers

Cites Work

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• On generalized Bell polynomials
• The \(r\)-Stirling numbers
• On the maximum of \(r\)-Stirling numbers
• The asymptotic behavior of the Stirling numbers of the first kind
• On the Lambert \(w\) function
• An asymptotic formula for \(r\)-Bell numbers with real arguments
• The $r$-Bell numbers
• Combinatorial Methods in Discrete Distributions
• Estimates for polynomial roots

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