Patra, Asim and Kaabar, Mohammed K. A. (2021) Catalan transform of k -balancing sequences. International Journal of Mathematics and Mathematical Sciences, 2021. ISSN 0161-1712, DOI https://doi.org/10.1155/2021/9987314.
Full text not available from this repository.Abstract
In this work, the Catalan transformation (CT) of k-balancing sequences, Bk,nn≥0, is introduced. Furthermore, the obtained Catalan transformation CBk,nn≥0 was shown as the product of lower triangular matrices called Catalan matrices and the matrix of k-balancing sequences, Bk,nn≥0, which is an n×1 matrix. Apart from that, the Hankel transform is applied further to calculate the determinant of the matrices formed from CBk,nn≥0. © 2021 Asim Patra and Mohammed K. A. Kaabar.
| Item Type: | Article |
|---|---|
| Funders: | None |
| Uncontrolled Keywords: | Catalan transformation; k-balancing sequences; Triangular matrices |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Institute of Mathematical Sciences |
| Depositing User: | Ms Zaharah Ramly |
| Date Deposited: | 09 Oct 2023 09:38 |
| Last Modified: | 09 Oct 2023 09:38 |
| URI: | http://eprints.um.edu.my/id/eprint/35486 |
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