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Journals / Turkish Journal of Mathematics and Computer Science / 2022 / Volume: 14 Issue: 2

d-Gaussian Pell-Lucas Polynomials and Their Matrix Representations

Engin Özkan(ERZİNCAN BİNALİ YILDIRIM ÜNİVERSİTESİ)0000-0002-4188-7248
Mine Uysal(ERZİNCAN BİNALİ YILDIRIM ÜNİVERSİTESİ)0000-0002-2362-3097
Pages
—
Publication Date
2022-12-30
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Using the Riordan method, we obtain the factorizations of Pascal matrix involving the polynomials.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We define a new generalization of Gaussian Pell-Lucas polynomials.
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Key Findings & Data:We call it $d-$Gaussian Pell-Lucas polynomials.
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Conclusion & Impact:Using the Riordan method, we obtain the factorizations of Pascal matrix involving the polynomials.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:d-Gaussian Pell-Lucas polynomial · generating function · Binet formula

Abstract

We define a new generalization of Gaussian Pell-Lucas polynomials. We call it $d-$Gaussian Pell-Lucas polynomials. Then we present the generating function and Binet formula for the polynomials. We give a matrix representation of $d-$Gaussian Pell-Lucas polynomials. Using the Riordan method, we obtain the factorizations of Pascal matrix involving the polynomials.

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Cite This Article

Özkan, E., Uysal, M. (2022). d-Gaussian Pell-Lucas Polynomials and Their Matrix Representations. Turkish Journal of Mathematics and Computer Science, Volume: 14 Issue: 2. https://doi.org/10.47000/tjmcs.1007382

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