Abstract

The aim of this article is to obtain a new factorization of a generalized Pascal triangle. This factorization particularly emphasizes that there is a close relation between generalized Pascal triangles and Toeplitz matrices. However, we will show that in general there is no such relation between generalized Pascal triangles and Hankel matrices.

Keywords: Generalized Pascal triangle; factorization of a matrix; Töeplitz matrix; Hankel matrix.

MSC: 15A15, 15A23, 11C20

DOI: 10.57016/MV-CF943QI4

Pages:  275$-$285     

Volume  75 ,  Issue  4 ,  2023