Generalized Stirling and Lah numbers
type: Item
instance of: scholarly article
title: Generalized Stirling and Lah numbers
zbMATH Open document ID: 0860.05007
DOI: 10.1016/0012-365X(95)00112-A
published in: Discrete Mathematics
publication date: 1997-01-14T00:00:00Z
review text: The author develops three generalizations of Stirling numbers of the second kind, \(S(n,k)\), and of Lah numbers, within the theory of modular binomial lattices [\textit{P. Doubilet}, \textit{G.-C. Rota} and \textit{R. Stanley}, Proc. 6th Berkeley Sympos. Math. Statist. Probab., Univ. Calif. 1970, 2, 267-318 (1972; Zbl 0267.05002)] which enables the simultaneous combinatorial analysis of finite sets, vector spaces, and chains. These generalizations include in particular the Bender-Goldman and Carlitz-Milne \(q\)-analogues of \(S(n,k)\) for finite vector spaces [see, e.g., \textit{S. C. Milne}, Adv. Math. 43, 173-196 (1982; Zbl 0482.05012)], as well as Ward, Comtet, and Bell numbers with corresponding interpretations.
reviewed by: Indulis Strazdins
Mathematics Subject Classification ID: 05A30
Mathematics Subject Classification ID: 05A15
Mathematics Subject Classification ID: 06C05
Mathematics Subject Classification ID: 11B73
Mathematics Subject Classification ID: 11B65
zbMATH DE Number: 955155
zbMATH Keywords: Stirling numbers
zbMATH Keywords: Lah numbers
zbMATH Keywords: modular binomial lattices
zbMATH Keywords: Bell numbers
author: Carl G. Wagner
MaRDI profile type: Publication
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full work available at URL: 0012-365x(95)00112-a
OpenAlex ID: W2052867329
description: scientific article; zbMATH DE number 955155