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
- Horadam, A.F., Complex Fibonacci Numbers and Fibonacci Quaternions, American Mathematics Monthly, 70, 289-291, (1963).
- Berzsenyi, G., Gaussian Fibonacci numbers, The Fibonacci Quarterly,15, 223-236, (1977).
- Mikkawy, M. and Sogabe, T., A new family of k-Fibonacci numbers, Applied Mathematics and Computation, 215, 4456-4461, (2010).
- Karduman, E., On determinants of matrices with general Fibonacci numbers entries, Applied Mathematics and Computation, 167, 670–676, (2005).
- Akbulak, M., Bozkurt, D., On the order-m generalized Fibonacci k-numbers, Chaos Soliton Fractal, 42(3), 1347-1355, (2009),.
- Dunlap, R.A., The golden ratio and Fibonacci numbers, World Scientific Press, Singapore, 1997.
- Falcon, S., Plaza, A., The k-Fibonacci sequence and the Pascal 2-triangle, Chaos Soliton Fractal, 33, 38–49, (2007).
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Ayrıntılar
Birincil Dil
İngilizce
Konular
-
Bölüm
Araştırma Makalesi
Yazarlar
Sait Taş
*
Bu kişi benim
0000-0002-9815-8732
Yayımlanma Tarihi
15 Mart 2019
Gönderilme Tarihi
17 Eylül 2018
Kabul Tarihi
12 Aralık 2018
Yayımlandığı Sayı
Yıl 2019 Cilt: 21 Sayı: 1
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