Engel's inequality for Bell numbers

DOI10.1016/0097-3165(95)90033-0zbMath0830.11010OpenAlexW1987029529WikidataQ56157590 ScholiaQ56157590MaRDI QIDQ1899066

E. Rodney Canfield

Publication date: 4 October 1995

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(95)90033-0

zbMATH Keywords

partitionBell number\(n\)-setEngel's inequality

Mathematics Subject Classification ID

Partitions of sets (05A18) Bell and Stirling numbers (11B73) Special sequences and polynomials (11B83)

Related Items (21)

Applications of the Bell numbers on univalent functions associated with subordination ⋮ Unnamed Item ⋮ Neyman type A distribution revisited ⋮ Unnamed Item ⋮ Central limit theorems for patterns in multiset permutations and set partitions ⋮ Some inequalities for the Bell numbers ⋮ Generalized distribution for analytic function classes associated with error functions and Bell numbers ⋮ The perimeter and site-perimeter of set partitions ⋮ Singletons and adjacencies of set partitions of type \(B\) ⋮ The largest singletons of set partitions ⋮ On the generalization of the Lambert $W$ function ⋮ Sum of weighted records in set partitions ⋮ Counting water cells in bargraphs of compositions and set partitions ⋮ Elements protected by records in set partitions ⋮ On multivariate logarithmic polynomials and their properties ⋮ Interior vertices in set partitions ⋮ Counting 1 × 2 rectangles in set partitions ⋮ Starlike functions related to the Bell numbers ⋮ Alphabetic points in restricted growth functions ⋮ Counting subword patterns in permutations arising as flattened partitions of sets ⋮ Stirling number of the fourth kind and lucky partitions of a finite set

Cites Work

• On the average rank of an element in a filter of the partition lattice
• Log-concavity and related properties of the cycle index polynomials
• Stirling Behavior is Asymptotically Normal
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Engel's inequality for Bell numbers