On a connection between the Pascal, Vandermonde and Stirling matrices. I.
type: Item
instance of: scholarly article
title: On a connection between the Pascal, Vandermonde and Stirling matrices. I.
zbMATH Open document ID: 1045.15013
DOI: 10.1016/S0096-3003(02)00435-6
published in: Applied Mathematics and Computation
publication date: 2003-11-25T00:00:00Z
review text: The Pascal matrices are defined as functions of the binomial coefficients. Similarly, Stirling matrices of the first (resp. the second) kind are composed from the Stirling numbers of the first (resp. the second) kind. Some relations between such matrices and stochastic matrices are presented.
Mathematics Subject Classification ID: 15B36
Mathematics Subject Classification ID: 15B51
Mathematics Subject Classification ID: 05A19
Mathematics Subject Classification ID: 05E05
zbMATH DE Number: 2008949
zbMATH Keywords: algorithms
zbMATH Keywords: Pascal matrix
zbMATH Keywords: Vandermonde matrix
zbMATH Keywords: Stirling matrix
zbMATH Keywords: Bernstein matrix
zbMATH Keywords: stochastic matrix
zbMATH Keywords: symmetric functions
zbMATH Keywords: MAPLE
zbMATH Keywords: combinatorial identities
author: Moawwad El-Mikkawy
reviewed by: Witold Więsław
describes a project that uses: Maple
MaRDI profile type: Publication
cites work: The Matrices of Pascal and Other Greats
cites work: Q4876116
cites work: Q4002255
full work available at URL: s0096-3003(02)00435-6
OpenAlex ID: W1976798897
description: scientific article; zbMATH DE number 2008949