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Research Article Open Access

The q-Riccati Algebra

Amna Hasan1, Hakeem A. Othman2 and Sami H. Altoum3
  • 1 Albaha University, Saudi Arabia
  • 2 Umm Al-Qura University, Saudi Arabia
  • 3 University Albaydha, Yemen

Abstract

For q∈(0, 1), we introduce the q-Riccati Lie algebra. Using the q-derivative (or Jackson derivative), we give a representation of this Lie algebra.

Journal of Mathematics and Statistics
Volume 16 No. 1, 2020, 20-23

DOI: https://doi.org/10.3844/jmssp.2020.20.23

Submitted On: 26 October 2019 Published On: 14 January 2020

How to Cite: Hasan, A., Othman, H. A. & Altoum, S. H. (2020). The q-Riccati Algebra. Journal of Mathematics and Statistics, 16(1), 20-23. https://doi.org/10.3844/jmssp.2020.20.23

Open AccessCopyright: © 2020 Amna Hasan, Hakeem A. Othman and Sami H. Altoum. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • q-Derivative
  • q-Riccati Lie Algebra