DOAJ Open Access 2024

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

Ali Boussayoud Salah Boulaaras Ali Allahem

Abstrak

In this paper, using the symmetrizing operator <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msubsup><mi>δ</mi><mrow><msub><mi>e</mi><mn>1</mn></msub><msub><mi>e</mi><mn>2</mn></msub></mrow><mrow><mn>2</mn><mo>−</mo><mi>l</mi></mrow></msubsup></semantics></math></inline-formula>, we derive new generating functions of the products of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mfenced separators="" open="(" close=")"><mi>p</mi><mo>,</mo><mi>q</mi></mfenced></semantics></math></inline-formula>-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.

Topik & Kata Kunci

Mathematics

Penulis (3)

Ali Boussayoud

Salah Boulaaras

Ali Allahem

Format Sitasi

APA MLA BibTeX

Boussayoud, A., Boulaaras, S., Allahem, A. (2024). Novel Classes on Generating Functions of the Products of (p,q)-Modified Pell Numbers with Several Bivariate Polynomials. https://doi.org/10.3390/math12182902

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Informasi Jurnal

Tahun Terbit: 2024
Sumber Database: DOAJ
DOI: 10.3390/math12182902
Akses: Open Access ✓