Catalan transform of k -balancing sequences
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 ma...
Saved in:
| Main Authors: | , |
|---|---|
| 格式: | Article |
| 出版: |
Hindawi Publishing Corporation
2021
|
| 主题: | |
| 在线阅读: | http://eprints.um.edu.my/35486/ |
| 标签: |
添加标签
没有标签, 成为第一个标记此记录!
|
| 总结: | 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. |
|---|