Determinantal and Permanental Representations of Fibonacci Type Numbers and Polynomials
Yazarlar (2)
Tokat Gaziosmanpaşa Üniversitesi, Türkiye
Prof. Dr. Adem ŞAHİN
Tokat Gaziosmanpaşa Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
|
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale |
| Dergi Adı | Rocky Mountain Journal of Mathematics |
| Dergi ISSN | 0035-7596 Wos Dergi Scopus Dergi |
| Dergi Tarandığı Indeksler | SCI-Expanded |
| Dergi Grubu | Q2 |
| Makale Dili | İngilizce |
| Basım Tarihi | 04-2016 |
| Cilt No | 46 |
| Sayı | 1 |
| Sayfalar | 227 / 242 |
| DOI Numarası | 10.1216/RMJ-2016-46-1-227 |
| Makale Linki | https://projecteuclid.org/journals/rocky-mountain-journal-of-mathematics/volume-46/issue-1 |
| Özet |
| In this paper, we compute terms of the matrix A ∞(κ), which contains Fibonacci type numbers and polynomials, with the help of determinants and permanents of various Hessenberg matrices. In addition, we show that determinants of these Hessenberg matrices can be obtained by using combinations. The results that we obtain are important, since the matrix A ∞(κ) is a general form of Fibonacci type numbers and polynomials, such as κ sequences of the generalized order-κ Fibonacci and Pell numbers, generalized bivariate Fibonacci p-polynomials, bivariate Fibonacci and Pell p-polynomials, second kind Chebyshev polynomials and bivariate Jacobsthal polynomials, etc. |
| Anahtar Kelimeler |
| Matrix A((K))(infinity) | generalized Fibonacci polynomials | Hessenberg matrix |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 8 |
| SCOPUS | 9 |
| Google Scholar | 13 |