Catalan transform of k -balancing sequences

Document Type

Article

Publication Date

1-1-2021

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.

Keywords

Catalan transformation, k-balancing sequences, Triangular matrices

Publication Title

International Journal of Mathematics and Mathematical Sciences

Divisions

MathematicalSciences

Funders

None

Volume

2021

Publisher

Hindawi Publishing Corporation

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