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Catalan Transform of k-Balancing Sequences

Author

Listed:
  • Asim Patra
  • Mohammed K. A. Kaabar
  • Sergejs Solovjovs

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.

Suggested Citation

  • Asim Patra & Mohammed K. A. Kaabar & Sergejs Solovjovs, 2021. "Catalan Transform of k-Balancing Sequences," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2021, pages 1-6, December.
    • Handle: RePEc:hin:jijmms:9987314
    DOI: 10.1155/2021/9987314
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    Cited by:

    1. Li, Dan & Li, Yijun & Wang, Chaoqun & Chen, Min & Wu, Qi, 2023. "Forecasting carbon prices based on real-time decomposition and causal temporal convolutional networks," Applied Energy, Elsevier, vol. 331(C).

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