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3-Fibonacci Polynomials in The Family of Fibonacci Numbers

Year 2019, , 926 - 933, 31.08.2019
https://doi.org/10.18185/erzifbed.512100

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).

Fibonacci Sayılarının Ailesinde 3-Fibonacci Polinomları

Year 2019, , 926 - 933, 31.08.2019
https://doi.org/10.18185/erzifbed.512100

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.

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).
There are 2 citations in total.

Details

Primary Language Turkish
Subjects Engineering
Journal Section Makaleler
Authors

Engin Özkan

Merve Taştan 0000-0002-6001-8267

Ali Aydoğdu

Publication Date August 31, 2019
Published in Issue Year 2019

Cite

APA Özkan, E., Taştan, M., & Aydoğdu, A. (2019). Fibonacci Sayılarının Ailesinde 3-Fibonacci Polinomları. Erzincan University Journal of Science and Technology, 12(2), 926-933. https://doi.org/10.18185/erzifbed.512100