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Keywords = (p, q)-modified Pell numbers

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24 pages, 297 KiB  
Article
Novel Classes on Generating Functions of the Products of (p,q)-Modified Pell Numbers with Several Bivariate Polynomials
by Ali Boussayoud, Salah Boulaaras and Ali Allahem
Mathematics 2024, 12(18), 2902; https://doi.org/10.3390/math12182902 - 18 Sep 2024
Viewed by 858
Abstract
In this paper, using the symmetrizing operator δe1e22l, we derive new generating functions of the products of p,q-modified Pell numbers with various bivariate polynomials, including Mersenne and Mersenne Lucas polynomials, Fibonacci and [...] Read more.
In this paper, using the symmetrizing operator δe1e22l, we derive new generating functions of the products of p,q-modified Pell numbers with various bivariate polynomials, including Mersenne and Mersenne Lucas polynomials, Fibonacci and Lucas polynomials, bivariate Pell and bivariate Pell Lucas polynomials, bivariate Jacobsthal and bivariate Jacobsthal Lucas polynomials, bivariate Vieta–Fibonacci and bivariate Vieta–Lucas polynomials, and bivariate complex Fibonacci and bivariate complex Lucas polynomials. Full article
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