\(p,q\)-Stirling numbers and set partition statistics
type: Item
instance of: scholarly article
title: \(p,q\)-Stirling numbers and set partition statistics
zbMATH Open document ID: 0732.05004
DOI: 10.1016/0097-3165(91)90020-H
author: Dennis White
author: Michelle L. Wachs
published in: Journal of Combinatorial Theory. Series A
publication date: 1991-01-01T00:00:00Z
review text: The authors have obtained bijections on restricted growth functions and rook placements on stairstep Ferrers boards to show that \(q\)-Stirling numbers of the second kind, described by Gould, arise as generating functions for various statistics on set partitions. Two variable \(p,q\)-Stirling numbers are also described and these are the generating functions of the joint distributions of pairs of statistics.
Mathematics Subject Classification ID: 05A18
Mathematics Subject Classification ID: 05A15
Mathematics Subject Classification ID: 11B73
zbMATH DE Number: 4210145
zbMATH Keywords: Stirling numbers
zbMATH Keywords: set partitions
MaRDI profile type: Publication
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full work available at URL: 0097-3165(91)90020-h
OpenAlex ID: W2047602652
description: scientific article; zbMATH DE number 4210145