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.
bi-periodic Fibonacci numbers bi-periodic Lucas numbers Fibonacci Q matrix matrix method bi-periodic Fibonacci polynomial generating matrix
Birincil Dil | İngilizce |
---|---|
Konular | Mühendislik |
Bölüm | Articles |
Yazarlar | |
Yayımlanma Tarihi | 15 Ekim 2018 |
Gönderilme Tarihi | 6 Kasım 2017 |
Kabul Tarihi | 3 Ekim 2018 |
Yayımlandığı Sayı | Yıl 2018 Cilt: 6 Sayı: 2 |