The k-Augmented Pascal Matrix and Its Properties

Gonca Kizilaslan and Taekyun Kim

Journal of Mathematics, 2025, vol. 2025, 1-13

Abstract: We define the k-augmented Pascal matrix and present both a generalization and an alternative version of this matrix. We derive some properties of the defined matrices and establish a connection with generalized Stirling numbers and second-order Eulerian numbers. Additionally, we provide a factorization of the k-augmented Pascal matrix, highlighting its connection to the Fibonacci matrix.

Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/jmath/2025/6280240.pdf (application/pdf)
http://downloads.hindawi.com/journals/jmath/2025/6280240.xml (application/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:6280240

DOI: 10.1155/jom/6280240

Access Statistics for this article

More articles in Journal of Mathematics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().