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The Pascal functional matrices with multidimensional binomial coefficients.
- Source :
-
Linear Algebra & its Applications . May2024, Vol. 688, p195-214. 20p. - Publication Year :
- 2024
-
Abstract
- In this paper, we generalize the Pascal matrices presented in [9] as a functional for several variables. The entries of these matrices are defined on the set R ⊆ Z ≥ 0 n with multidimensional binomial coefficients along with several variables. In the following, we will investigate the algebraic properties of these matrices in terms of products, powers, and inverses of the matrices and also some factorization formulas using this method. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00243795
- Volume :
- 688
- Database :
- Academic Search Index
- Journal :
- Linear Algebra & its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 176225379
- Full Text :
- https://doi.org/10.1016/j.laa.2024.02.020