Algebraic Properties of Convolved Generalized (p,q)-Numbers

Authors

  • Nesrine Harrouche Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeria
  • Ali Boussayoud LMAM Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeria
  • Manel Zermani LMAM Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeria

Abstract

 In this paper, we introduce a new generalization of (p,q)-numbers, extending classical sequences such as Fibonacci, Pell, Mersenne and Jacobsthal numbers through the introduction of two parameters p and q. We explore the algebraic properties of these sequences, focusing their convolution structures, recurrence relations, Binet’s formulas, and generating functions.

Downloads

Published

2025-08-30

Issue

Vol. 32 No. 3 (2025): Nonlinear Studies (NS)

Section

Articles

License

Copyright (c) 2025 Nesrine Harrouche, Ali Boussayoud , Manel Zermani

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

Algebraic Properties of Convolved Generalized (p,q)-Numbers. (2025). Nonlinear Studies, 32(3), 811-822. https://nonlinearstudies.com/index.php/nonlinear/article/view/3902