Araştırma Makalesi

A new family of k- Gaussian Fibonacci numbers

Cilt: 21 Sayı: 1 15 Mart 2019
  • Sait Taş *
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A new family of k- Gaussian Fibonacci numbers

Öz

In this manuscript, a new family of k- Gaussian Fibonacci numbers has been identified and some relationships between this family and known Gaussian Fibonacci numbers have been found. Also, I the generating functions of this family for k=2 has been obtained.

Anahtar Kelimeler

Kaynakça

  1. Horadam, A.F., Complex Fibonacci Numbers and Fibonacci Quaternions, American Mathematics Monthly, 70, 289-291, (1963).
  2. Berzsenyi, G., Gaussian Fibonacci numbers, The Fibonacci Quarterly,15, 223-236, (1977).
  3. Mikkawy, M. and Sogabe, T., A new family of k-Fibonacci numbers, Applied Mathematics and Computation, 215, 4456-4461, (2010).
  4. Karduman, E., On determinants of matrices with general Fibonacci numbers entries, Applied Mathematics and Computation, 167, 670–676, (2005).
  5. Akbulak, M., Bozkurt, D., On the order-m generalized Fibonacci k-numbers, Chaos Soliton Fractal, 42(3), 1347-1355, (2009),.
  6. Dunlap, R.A., The golden ratio and Fibonacci numbers, World Scientific Press, Singapore, 1997.
  7. Falcon, S., Plaza, A., The k-Fibonacci sequence and the Pascal 2-triangle, Chaos Soliton Fractal, 33, 38–49, (2007).
  8. Grabowski, A., Wojtecki, P., Lucas numbers and generalized Fibonacci numbers, Formalized Mathematics. 12, 329–334, (2004).

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

15 Mart 2019

Gönderilme Tarihi

17 Eylül 2018

Kabul Tarihi

12 Aralık 2018

Yayımlandığı Sayı

Yıl 2019 Cilt: 21 Sayı: 1

Kaynak Göster

APA
Taş, S. (2019). A new family of k- Gaussian Fibonacci numbers. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 21(1), 184-189. https://doi.org/10.25092/baunfbed.542440
AMA
1.Taş S. A new family of k- Gaussian Fibonacci numbers. BAUN Fen. Bil. Enst. Dergisi. 2019;21(1):184-189. doi:10.25092/baunfbed.542440
Chicago
Taş, Sait. 2019. “A new family of k- Gaussian Fibonacci numbers”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 21 (1): 184-89. https://doi.org/10.25092/baunfbed.542440.
EndNote
Taş S (01 Mart 2019) A new family of k- Gaussian Fibonacci numbers. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 21 1 184–189.
IEEE
[1]S. Taş, “A new family of k- Gaussian Fibonacci numbers”, BAUN Fen. Bil. Enst. Dergisi, c. 21, sy 1, ss. 184–189, Mar. 2019, doi: 10.25092/baunfbed.542440.
ISNAD
Taş, Sait. “A new family of k- Gaussian Fibonacci numbers”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 21/1 (01 Mart 2019): 184-189. https://doi.org/10.25092/baunfbed.542440.
JAMA
1.Taş S. A new family of k- Gaussian Fibonacci numbers. BAUN Fen. Bil. Enst. Dergisi. 2019;21:184–189.
MLA
Taş, Sait. “A new family of k- Gaussian Fibonacci numbers”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, c. 21, sy 1, Mart 2019, ss. 184-9, doi:10.25092/baunfbed.542440.
Vancouver
1.Sait Taş. A new family of k- Gaussian Fibonacci numbers. BAUN Fen. Bil. Enst. Dergisi. 01 Mart 2019;21(1):184-9. doi:10.25092/baunfbed.542440

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