MORE ON THE GENERALIZED PASCAL TRIANGLES

Authors

  • M. Etemadi Faculty of Mathematics, K. N. Toosi University of Technology, Tehran, Iran Author
  • A. R. Moghaddamfar Faculty of Mathematics, K. N. Toosi University of Technology, Tehran, Iran Author

DOI:

https://doi.org/10.57016/MV-CF943QI4

Keywords:

Generalized Pascal triangle, factorization of a matrix, Töeplitz matrix, Hankel matrix

Subjects:

15A15, 15A23, 11C20

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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Published

2023-10-15

Issue

Vol. 75 No. 4 (2023): Vol. 75, Issue 4

Section

Articles

License

Copyright (c) 2023 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.