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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...

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Main Authors: Patra, Asim, Kaabar, Mohammed K. A.
Format: Article
Published: Hindawi Publishing Corporation 2021
Subjects:
QA Mathematics
Online Access:http://eprints.um.edu.my/35486/
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spelling my.um.eprints.354862023-10-09T09:38:34Z http://eprints.um.edu.my/35486/ Catalan transform of k -balancing sequences Patra, Asim Kaabar, Mohammed K. A. QA Mathematics 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. Hindawi Publishing Corporation 2021 Article PeerReviewed 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 <https://doi.org/10.1155/2021/9987314>. 10.1155/2021/9987314
institution Universiti Malaya
building UM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaya
content_source UM Research Repository
url_provider http://eprints.um.edu.my/
topic QA Mathematics
spellingShingle QA Mathematics
Patra, Asim
Kaabar, Mohammed K. A.
Catalan transform of k -balancing sequences
description 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.
format Article
author Patra, Asim
Kaabar, Mohammed K. A.
author_facet Patra, Asim
Kaabar, Mohammed K. A.
author_sort Patra, Asim
title Catalan transform of k -balancing sequences
title_short Catalan transform of k -balancing sequences
title_full Catalan transform of k -balancing sequences
title_fullStr Catalan transform of k -balancing sequences
title_full_unstemmed Catalan transform of k -balancing sequences
title_sort catalan transform of k -balancing sequences
publisher Hindawi Publishing Corporation
publishDate 2021
url http://eprints.um.edu.my/35486/
_version_ 1781704474313621504
score 13.211869

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