KaydedilenlerDerginizi ekleyin

Dergiler / Mathematical Sciences and Applications E-Notes / 2015 / Cilt: 3 - Sayı: 2

ON DETERMINATION OF k-FIBONACCI AND k-LUCAS NUMBERS

Nihal Yilmaz ÖZGÜR
Öznur Öztunç KAYMAK
Sayfa
20–26
Yayın Tarihi
2015-10-30
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Moreover, two efficient tests are introduced as to whether or not a positive integer is k-Fibonacci or k-Lucas.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this study we investigate some properties of the k-Fibonacci and k-Lucas sequences which are generalize the classical Fibonacci and Lucas sequences.
📊
Temel Bulgular & Veri:In this study we investigate some properties of the k-Fibonacci and k-Lucas sequences which are generalize the classical Fibonacci and Lucas sequences.
💡
Sonuç & Katkı:Moreover, two efficient tests are introduced as to whether or not a positive integer is k-Fibonacci or k-Lucas.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:k-Fibonacci number · k-Lucas number · Binet formula

Abstract

In this study we investigate some properties of the k-Fibonacci and k-Lucas sequences which are generalize the classical Fibonacci and Lucas sequences. Moreover, two efficient tests are introduced as to whether or not a positive integer is k-Fibonacci or k-Lucas.

🔖

Bu Makaleye Atıf Yap

ÖZGÜR, N. Y., KAYMAK, Ö. Ö. (2015). ON DETERMINATION OF k-FIBONACCI AND k-LUCAS NUMBERS. Mathematical Sciences and Applications E-Notes, Cilt: 3 - Sayı: 2, 20–26. https://ajindex.com/articles/690775

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (13)

  1. Bolat, C. and Köse H., On the properties of k−Fibonacci numbers, Int. J. Contemp. Math. Sciences, 5, 1097-1105, (2010)
  2. Falcon S., On the k−Lucas Numbers, Int. J. Contemp. Math. Sciences, 6, 1039-1050, (2011)
  3. Hoggatt V. E., Generalized Zeckendorf theorem, Fibonacci Quart 10, 89-93, (1972)
  4. James P., When is a number Fibonacci?, Department of Computer Science, Swansea University, January 25, (2009)
  5. Kalman, D. and Mena, R., The Fibonacci numbers-exposed. Math. Mag. 76, no. 3, 167-181, (2003)
  6. Cahill N. D., D’Errico J. R., Spence J. S., Complex factorizations of the Fibonacci and Lucas numbers, Fibonacci Quart. 41, no. 1, 13-19, (2003)
  7. Ismail, M. E. H., One parameter generalizations of the Fibonacci and Lucas numbers, Fibonacci Quart. 46/47, no. 2, 167-180, (2008/09)
  8. Koshy T., Fibonacci and Lucas numbers with applications, Wiley, (2001)
  9. Siar Z., Keskin R., Some new identites concerning Generalized Fibonacci and Lucas Numbers, Hacet. J. Math. Stat. 42, no.3, 211-222, (2013)
  10. Ozgur, N. Y., Ucar S., Oztunc O., Complex Factorizations of the k−Fibonacci and k−Lucas numbers, in press, (2015)
  11. S. Falcon and A. Plaza, On the Fibonacci k-numbers, ` Chaos, Solitons & Fractals 32, 1615- 1624 (2007)
  12. S. Falcon and A. Plaza, The k-Fibonacci sequence and the Pascal 2-triangle, ` Chaos, Solitons & Fractals 33, 38-49 (2007)
  13. MATLAB trial version 8.5.0. Natick, Massachusetts: The MathWorks Inc., (2015