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Dergiler / Konuralp Journal of Mathematics / 2018 / Cilt: 6 - Sayı: 2

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

Arzu COŞKUN
Necati TAŞKARA
Sayfa
272–278
Yayın Tarihi
2018-10-15
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Then, we investigate some properties of these products.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, firstly, we define the $Q_{q}$ \textit{-generating matrix} for bi-periodic Fibonacci polynomial.
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Temel Bulgular & Veri: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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Sonuç & Katkı:Then, we investigate some properties of these products.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

COŞKUN, A., TAŞKARA, N. (2018). The Hadamard Products for Bi-periodic Fibonacci and Bi-periodic Lucas Generating Matrices. Konuralp Journal of Mathematics, Cilt: 6 - Sayı: 2, 272–278. https://ajindex.com/articles/786559

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Kaynakça (17)

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