Abstract
In
this study, we define -Fibonacci
Polynomials by using terms of a new family of Fibonacci numbers was given by Mikkawy
and Sogabe (2010). We give
some important properties of the polynomial. Then, we compare the polynomials
with known Fibonacci polynomial. We expressed these polynomials using the
Fibonacci polynomials. Furthermore, we prove some theorems related to the
polynomials.
References
- Referans 1 Özkan, E., Taştan, M., Aydoğdu, A.: 2-Fibonacci Polynomials in the Family of Fibonacci Numbers, Notes on Number Theory and Discrete Mathematics, 24, 47-55, (2018).
- Referans2 Deveci, Ö., Karaduman, E., Campbell, C. M.: The Fibonacci-Circulant Sequences and Their Applications, Iranian Journal Of Science And Technology Transaction A-Science, 41, 4, 1033-1038 (2017).
Abstract
Bu çalışmamızda,
Mikkawy and Sogabe (2010)’ nin vermiş olduğu Fibonacci sayılarının yeni ailesi
kullanılarak Fibonacci polinomları tanımlandı. Bu
polinomun sahip olduğu bazı önemli özellikler gösterildi. Daha sonra elde
ettiğimiz polinomlar ile bilinen Fibonacci polinomlar karşılaştırıldı. Elde
edilen yeni polinom Fibonacci polinomu türünden ifade edildi. Ayrıca, bu
polinomlarla ilgili bazı teoremlerin ifade ve ispatı verildi.
Keywords
References
- Referans 1 Özkan, E., Taştan, M., Aydoğdu, A.: 2-Fibonacci Polynomials in the Family of Fibonacci Numbers, Notes on Number Theory and Discrete Mathematics, 24, 47-55, (2018).
- Referans2 Deveci, Ö., Karaduman, E., Campbell, C. M.: The Fibonacci-Circulant Sequences and Their Applications, Iranian Journal Of Science And Technology Transaction A-Science, 41, 4, 1033-1038 (2017).
Details
| Primary Language | Turkish |
|---|---|
| Subjects | Engineering |
| Journal Section | Makaleler |
| Authors | |
| Publication Date | August 31, 2019 |
| Published in Issue | Year 2019 |