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The Linear Algebra of the (r, β)-Stirling Matrices.
- Source :
-
European Journal of Pure & Applied Mathematics . Oct2023, Vol. 16 Issue 4, p2306-2322. 17p. - Publication Year :
- 2023
-
Abstract
- This paper establishes the linear algebra of the (r, β)-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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *VANDERMONDE matrices
*MATRICES (Mathematics)
*ARITHMETIC series
*FACTORIZATION
Subjects
Details
- Language :
- English
- ISSN :
- 13075543
- Volume :
- 16
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- European Journal of Pure & Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 173421408
- Full Text :
- https://doi.org/10.29020/nybg.ejpam.v16i4.4854