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Journals / Konuralp Journal of Mathematics / 2018 / Volume: 6 Issue: 2

The Hadamard Products for Bi-periodic Fibonacci and Bi-periodic Lucas Generating Matrices

Arzu Coşkun
Necati Taşkara
Pages
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Publication Date
2018-10-15
DOI
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AI Summary & Key Takeaways

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

Then, we investigate some properties of these products.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, firstly, we define the $Q_{q}$ \textit{-generating matrix} for bi-periodic Fibonacci polynomial.
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Key Findings & Data:And we give $n$th power, determinant and some properties of the bi-periodic Fibonacci polynomial by considering this matrix representation.
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Conclusion & Impact:Then, we investigate some properties of these products.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:bi-periodic Fibonacci numbers · bi-periodic Lucas numbers · Fibonacci Q matrix

Abstract

In this paper, firstly, we define the $Q_{q}$ \textit{-generating matrix} for bi-periodic Fibonacci polynomial. And we give $n$th power, determinant and some properties of the bi-periodic Fibonacci polynomial by considering this matrix representation. Also, we introduce the Hadamard products for bi-periodic Fibonacci $Q_{q}^{n}$ generating matrix and bi-periodic Lucas $Q_{l}^{n}$ generating matrix of which entries are bi-periodic Fibonacci and Lucas numbers. Then, we investigate some properties of these products.

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Cite This Article

Coşkun, A., Taşkara, N. (2018). The Hadamard Products for Bi-periodic Fibonacci and Bi-periodic Lucas Generating Matrices. Konuralp Journal of Mathematics, Volume: 6 Issue: 2. https://ajindex.com/articles/1521773

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