The partial \(r\)-Bell polynomials

DOI10.1007/S13370-017-0510-ZzbMath1387.05018arXiv1308.0863OpenAlexW2963753581MaRDI QIDQ1693969

Miloud Mihoubi, Mourad Rahmani

Publication date: 1 February 2018

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.0863

zbMATH Keywords

Stirling numbersrecurrence relationsWhitney numberspartial Bell polynomials\(r\)-Bell polynomialsprobabilistic interpretation

Mathematics Subject Classification ID

Partitions of sets (05A18) Bell and Stirling numbers (11B73)

Related Items (26)

Explicit formulas associated with some families of generalized Bernoulli and Euler polynomials ⋮ Some identities of the \(r\)-Whitney numbers ⋮ Unnamed Item ⋮ A comprehensive study of \(r\)-Dowling polynomials ⋮ Generalized \(r\)-Lah numbers ⋮ A class of Frobenius-type Eulerian polynomials ⋮ Mixed coloured permutations ⋮ A new approach to the \(r\)-Whitney numbers by using combinatorial differential calculus ⋮ Unnamed Item ⋮ Extensions of set partitions and permutations ⋮ Recurrence relation for the Appell sequences ⋮ The multiset partitions and the generalized Stirling numbers ⋮ New combinatorial interpretations of \(r\)-Whitney and \(r\)-Whitney-Lah numbers ⋮ Curious congruences related to the Bell polynomials ⋮ Restricted \(r\)-Stirling numbers and their combinatorial applications ⋮ Some polynomials associated with the \(r\)-Whitney numbers ⋮ New definitions of the generalized Stirling numbers ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Sums of r-Lah numbers and r-Lah polynomials ⋮ Gini index on generalized \(r\)-partitions ⋮ Riordan arrays and \(r\)-Stirling number identities ⋮ On \(r\)-central incomplete and complete Bell polynomials ⋮ Matchings in complete bipartite graphs and the $r$-Lah numbers ⋮ The \(r\)-Lah numbers ⋮ Generalized Ordered Set Partitions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(r\)-Whitney numbers of Dowling lattices
• Some results on Whitney numbers of Dowling lattices
• A new formula for the Bernoulli polynomials
• The \(r\)-Stirling numbers
• New properties of \(r\)-Stirling series
• On the maximum of \(r\)-Stirling numbers
• General identities on Bell polynomials
• On Touchard polynomials
• Note on some restricted Stirling numbers of the second kind
• Exponential polynomials
• Bell polynomials and binomial type sequences
• Combinatorial stochastic processes. Ecole d'Eté de Probabilités de Saint-Flour XXXII -- 2002.
• The $r$-Bell numbers
• The (r1,...,rp)-Stirling Numbers of the Second Kind
• Generalized Stirling transform

This page was built for publication: The partial \(r\)-Bell polynomials