MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
MORE ON THE GENERALIZED PASCAL TRIANGLES
M. Etemadi, A. R. Moghaddamfar

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.

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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