On the bivariate Mersenne Lucas polynomials and their properties

N Saba, A Boussayoud - Chaos, Solitons & Fractals, 2021 - Elsevier
The main aim of this paper is to introduce new concept of bivariate Mersenne Lucas
polynomials {mn (x, y)} n= 0∞, we first give the recurrence relation of them. We then obtain …

[PDF][PDF] Complete homogeneous symmetric functions of third and second-order linear recurrence sequences

N Saba, A Boussayoud… - Electron. J. Math. Anal …, 2021 - journals.ekb.eg
COMPLETE HOMOGENEOUS SYMMETRIC FUNCTIONS OF THIRD AND SECOND-ORDER
LINEAR RECURRENCE SEQUENCES 1. Introduction and preliminaries Page 1 Electronic …

[HTML][HTML] Novel Classes on Generating Functions of the Products of (p, q)-Modified Pell Numbers with Several Bivariate Polynomials

A Boussayoud, S Boulaaras, A Allahem - Mathematics, 2024 - mdpi.com
In this paper, using the symmetrizing operator δ e 1 e 2 2− l, we derive new generating
functions of the products of p, q-modified Pell numbers with various bivariate polynomials …

Vieta–Fibonacci-like polynomials and some identities

W Sriprad, S Srisawat, P Naklor - Annales Mathematicae et …, 2021 - real.mtak.hu
In this paper, we introduce a new type of the Vieta polynomial, which is Vieta–Fibonacci-like
polynomial. After that, we establish the Binet formula, the generating function, the well …

Generating functions of binary products of (p, q) numbers with bivariate Vieta Fibonacci and Lucas polynomials at positive and negative indices.

N Saba, A Boussayoud… - … in Engineering, Science & …, 2022 - search.ebscohost.com
In this paper. we derive some new generating functions of the products of (p, q)-Fibonacci
numbers,(p, q)-Lucas numbers.(p, q)-Pell numbers.(p, q)-Pell Lucas numbers.(p, q) …

[PDF][PDF] ON THE ZEROS OF A CLASS OF BIVARIATE FIBONACCI POLYNOMIALS

A Al-Saket - 2018 - zuj.edu.jo
ON THE ZEROS OF A CLASS OF BIVARIATE FIBONACCI POLYNOMIALS Page 1 Far East
Journal of Mathematical Sciences (FJMS) © 2018 Pushpa Publishing House, Allahabad, India …