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...
محفوظ في:
| المؤلفون الرئيسيون: | , |
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| التنسيق: | مقال |
| منشور في: |
Hindawi Publishing Corporation
2021
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| الموضوعات: | |
| الوصول للمادة أونلاين: | http://eprints.um.edu.my/35486/ |
| الوسوم: |
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| الملخص: | 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. |
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