Catalan transform of k -balancing sequences

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

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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

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