\(\lambda\)-Euler's difference table for colored permutations
type: Item
instance of: scholarly article
title: \(\lambda\)-Euler's difference table for colored permutations
zbMATH Open document ID: 1402.05012
author: Y. Aharonov
published in: The Electronic Journal of Combinatorics
publication date: 2018-11-22T00:00:00Z
full work available at URL: v25i4p25
review text: Summary: Motivated by the \(\lambda\)-Euler's difference table of \textit{N. Eriksen} et al. [Electron. J. Comb. 16, No. 1, Research Paper R32, 19 p. (2009; Zbl 1181.05003)] and colored Euler's difference table of \textit{H. L. M. Faliharimalala} and \textit{J. Zeng} [Electron. J. Comb. 15, No. 1, Research Paper R65, 22 p. (2008; Zbl 1181.05013)], we study the \(\lambda\)-analogue of colored Euler's difference table and generalize their results. We generalize the number of permutations with \(k\)-excedances studied by \textit{J. Liese} and \textit{J. Remmel} [PU.M.A., Pure Math. Appl. 21, No. 2, 285--320 (2010; Zbl 1265.05017)] in colored permutations. We also extend \textit{C. Wang} et al.'s [Discrete Math. 340, No. 7, 1681--1692 (2017; Zbl 1415.05007)] recent results about \(r\)-derangements by relating with the sequences arising from the difference table.
Mathematics Subject Classification ID: 05A18
Mathematics Subject Classification ID: 05A15
zbMATH DE Number: 6983023
MaRDI profile type: Publication
cites work: \(m\)-rook numbers and a generalization of a formula of Frobenius to \(C_m \wr \mathcal S_n\)
cites work: Higher order log-concavity in Euler's difference table
cites work: A combinatorial interpretation of the Seidel generation of \(q\)-derangement numbers
cites work: Derangements and Genocchi numbers
cites work: Q3176583
cites work: Derangements and Euler's difference table for \(C_{l} \wr S_{n}\)
cites work: Fix-Euler-Mahonian statistics on wreath products
cites work: Théorie géométrique des polynômes eulériens
cites work: \(Q\)-analogues of the number of permutations with \(k\)-excedances
cites work: Euler's difference table and maximum permanents of (0, 1)-matrices
cites work: Q5445349
cites work: Q4344108
cites work: The \(r\)-derangement numbers
description: scientific article; zbMATH DE number 6983023