Generalized Bell numbers and peirce matrix via Pascal matrix
type: Item
instance of: scholarly article
title: Generalized Bell numbers and peirce matrix via Pascal matrix
zbMATH Open document ID: 1486.11032
DOI: 10.1155/2018/9096761
author: EunMi Choi
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2019-02-27T00:00:00Z
review text: Summary: With the Stirling matrix \(S\) and the Pascal matrix \(T\), we show that \(T^k S(k \geq 0)\) satisfies a type of generalized Stirling recurrence. Then, by expressing the sum of components of each row of \(T^k S\) as \(k\)-Bell number, we investigate properties of \(k\)-Bell numbers as well as \(k\)-Peirce matrix.
Mathematics Subject Classification ID: 11B73
Mathematics Subject Classification ID: 15B36
Mathematics Subject Classification ID: 11C20
zbMATH DE Number: 7029963
zbMATH Keywords: Stirling matrix
zbMATH Keywords: Pascal matrix
zbMATH Keywords: Bell numbers
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/9096761
OpenAlex ID: W2887548314
cites work: Q3216653
cites work: Pascal matrices and Stirling numbers
cites work: Symmetric polynomials, Pascal matrices, and Stirling matrices
cites work: On a connection between the Pascal, Stirling and Vandermonde matrices
cites work: On new identities for Bell's polynomials
cites work: Q5404199
cites work: Q4421329
cites work: Q3661656
cites work: The $r$-Bell numbers
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description: scientific article; zbMATH DE number 7029963