The Linear Algebra of (r, β)-Stirling Matrices

Authors

  • Genevieve B. Engalan Caraga State University
  • Mary Joy Latayada Caraga State University

DOI:

https://doi.org/10.29020/nybg.ejpam.v16i4.4854

Keywords:

$(r\beta)$-Stirling Numbers, $(r\beta)$-Stirling Matrix, Pascal matrix, Stirling matrix, Vandermonde matrix

Abstract

This paper establishes the linear algebra of the $(r, \beta)$-Stirling matrix. Along the way, this paper derives various identities, such as its factorization and relationship to the Pascal matrix and the Stirling matrix of the second kind. Additionally, this paper develops a natural extension of the Vandermonde matrix, which can be used to study and evaluate successive power sums of arithmetic progressions.

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Published

2023-10-30

Issue

Section

Nonlinear Analysis

How to Cite

The Linear Algebra of (r, β)-Stirling Matrices. (2023). European Journal of Pure and Applied Mathematics, 16(4), 2306-2322. https://doi.org/10.29020/nybg.ejpam.v16i4.4854