The noncentral version of the Whitney numbers: a comprehensive study

DOI10.1155/2016/6206207zbMath1425.11047OpenAlexW2328066976WikidataQ59124619 ScholiaQ59124619MaRDI QIDQ1751479

Omar I. Cauntongan, Mahid M. Mangontarum, Amila P. Macodi-Ringia

Publication date: 25 May 2018

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2016/6206207

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Combinatorial aspects of matroids and geometric lattices (05B35)

Related Items (4)

On Noncentral Tanny-Dowling Polynomials and Generalizations of Some Formulas for Geometric Polynomials ⋮ Unnamed Item ⋮ The multiparameter r-Whitney numbers ⋮ Bivariate extension of the \(r\)-Dowling polynomials and two forms of generalized Spivey's formula

Cites Work

• \(r\)-Whitney numbers of Dowling lattices
• Some results on 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
• The \(r\)-Stirling numbers
• Identities from the binomial transform
• On the maximum of \(r\)-Stirling numbers
• On Whitney numbers of Dowling lattices
• A unified approach to generalized Stirling numbers
• Log-concavity of Whitney numbers of Dowling lattices
• On some numbers related to Whitney numbers of Dowling lattices
• Asymptotic estimates for \(r\)-Whitney numbers of the second kind
• The translated Dowling polynomials and numbers
• The Hankel transform of \(q\)-noncentral Bell numbers
• The peak of noncentral Stirling numbers of the first kind
• Non-central Stirling numbers and some applications
• An asymptotic formula for \(r\)-Bell numbers with real arguments
• A class of geometric lattices based on finite groups
• The $r$-Bell numbers
• On Some Numbers Related to the Bell Numbers
• Generalized Stirling Numbers, Convolution Formulae and p, q-Analogues
• Hilbert spaces of analytic functions and generalized coherent states
• Equivalent asymptotic formulas of second kindr-Whitney numbers
• The linear algebra of ther-Whitney matrices
• The Number of Partitions of a Set
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