MMN-5240
Symmetric and generating functions for certain products of numbers and polynomials with application to bifurcation analysis
Chems Eddine Arroud; Nabiha Saba; Ali Boussayoud; Salah Boulaaras; Baghdadi Aloui; Nesrine Harrouche;Abstract
In this paper, we present a new theorem on symmetric and generating functions.
With the aid of this theorem, we are able to calculate some new generating functions for the products of k-Fibonacci numbers and Fibonacci polynomials with certain (p,q)-numbers, such as (p,q)-Fibonacci numbers and (p,q)-Jacobsthal Lucas numbers. Additionally, we explore the bifurcation and chaotic behavior of the generating function for (p,q)-Jacobsthal numbers, focusing on particular values of the parameters p and q.
Vol. 27 (2026), No. 1, pp. 35-57