Engin Özkan, Merve Taştan and Ali Aydoğdu
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 24, 2018, Number 3, Pages 47—55
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In the present study, we define new 2-Fibonacci polynomials by using terms of a new family of Fibonacci numbers given in . We show that there is a relationship between the coefficient of the 2-Fibonacci polynomials and Pascal’s triangle. We give some identities of the 2-Fibonacci polynomials. Afterwards, we compare the polynomials with known Fibonacci polynomials. We also express 2-Fibonacci polynomials by the Fibonacci polynomials. Furthermore, we prove some theorems related to the polynomials. Also, we introduce the derivative of the 2-Fibonacci polynomials.
- Fibonacci numbers
- Fibonacci polynomials
- Generalized Fibonacci polynomials
2010 Mathematics Subject Classification
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Cite this paper
Özkan, E., Taştan, M., & Aydoğdu, A. (2018). 2-Fibonacci polynomials in the family of Fibonacci numbers. Notes on Number Theory and Discrete Mathematics, 24(3), 47-55, doi: 10.7546/nntdm.2018.24.3.47-55.