Partition statistics on permutations
type: Item
instance of: scholarly article
title: Partition statistics on permutations
zbMATH Open document ID: 0765.05003
DOI: 10.1016/0012-365X(92)90366-N
author: Paul Edelman
author: Rodica Simion
author: Dennis White
published in: Discrete Mathematics
publication date: 1992-09-27T00:00:00Z
review text: Some properties of a new statistic on permutations are described and discussed. The authors then go on to show its relationship to a well- known statistic on set partitions, and there are four such statistics on set partitions, each with \(q\)-Stirling numbers as its generating function.
Mathematics Subject Classification ID: 05A05
Mathematics Subject Classification ID: 05A15
Mathematics Subject Classification ID: 05A18
Mathematics Subject Classification ID: 11B73
zbMATH DE Number: 63154
zbMATH Keywords: statistics on permutations
zbMATH Keywords: Stirling numbers
zbMATH Keywords: set partitions
zbMATH Keywords: generating function
reviewed by: D. V. Chopra
MaRDI profile type: Publication
cites work: Q3724546
cites work: The q-Stirling numbers of first and second kinds
cites work: Reduced matrices and q-log-concavity properties of q-Stirling numbers
cites work: Q3748279
cites work: \(p,q\)-Stirling numbers and set partition statistics
full work available at URL: 0012-365x(92)90366-n
OpenAlex ID: W2011979580
description: scientific article; zbMATH DE number 63154