Eulerian numbers associated with arithmetical progressions
type: Item
instance of: scholarly article
title: Eulerian numbers associated with arithmetical progressions
zbMATH Open document ID: 1391.11055
author: José L. Ramírez
author: Sergio N. Villamarin
author: Diego Villamizar
published in: The Electronic Journal of Combinatorics
publication date: 2018-05-25T00:00:00Z
full work available at URL: v25i1p48
review text: Summary: In this paper, we give a combinatorial interpretation of the \(r\)-Whitney-Eulerian numbers by means of coloured signed permutations. This sequence is a generalization of the well-known Eulerian numbers and it is connected to \(r\)-Whitney numbers of the second kind. Using generating functions, we provide some combinatorial identities and the log-concavity property. Finally, we show some basic congruences involving the \(r\)-Whitney-Eulerian numbers.
Mathematics Subject Classification ID: 11B83
Mathematics Subject Classification ID: 05A15
Mathematics Subject Classification ID: 05A19
zbMATH DE Number: 6873092
zbMATH Keywords: Eulerian number
zbMATH Keywords: \(r\)-Whitney number
zbMATH Keywords: \(r\)-Whitney-Eulerian number
zbMATH Keywords: combinatorial identities
zbMATH Keywords: unimodality
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 6873092