Araştırma Makalesi
Yıl 2013,
Cilt: 42 Sayı: 4, 331 - 338, 01.04.2013
Öz
In this study, we define a generalization of Lucas sequence{p n }. Thenwe obtain Binet formula of sequence{p n } . Also, we investigate relationships between generalized Fibonacci and Lucas sequences.
Anahtar Kelimeler
Extended Binet Formulas Generalized Fibonacci and Lucas Sequences
Kaynakça
- Horadam, A. F. A generalized Fibonacci Sequence, Amer. Math. Monthly, 68, 455–459, 1961. Edson, M. and Yayenie, O. A new generalization of Fibonacci sequences and extended Binet’s Formula, Integer 9, (#A48), 639–654, 2009.
- Yayenie, O. A note on generalized Fibonacci sequences, Applied. Math. Comp. 217 (12), 5603–5611, 2011.
- Koshy, T. Fibonacci And Lucas Numbers with Applications, Wiley, New York, 2001.
- Vajda, S. Fibonacci & Lucas Numbers and the Golden Section, Theory and Applications, Ellis Horwood Ltd., Chishester, 1989.
- Cooper, C. An identity for period k second order linear recurrence systems, Cong. Numer. 200, 95–106, 2010.
- Sahin, M. The Gelin-Cesaro identity in some conditional Sequences, Hacettepe Journal of Mathematics and Statistics, 40, 855–861, 2011.
- Irmak, N. and Szalay, L. On k −periodic Binary Recurrence, Ann. Math. Inform. 40, 25–35, 20
Yıl 2013,
Cilt: 42 Sayı: 4, 331 - 338, 01.04.2013
Öz
Kaynakça
- Horadam, A. F. A generalized Fibonacci Sequence, Amer. Math. Monthly, 68, 455–459, 1961. Edson, M. and Yayenie, O. A new generalization of Fibonacci sequences and extended Binet’s Formula, Integer 9, (#A48), 639–654, 2009.
- Yayenie, O. A note on generalized Fibonacci sequences, Applied. Math. Comp. 217 (12), 5603–5611, 2011.
- Koshy, T. Fibonacci And Lucas Numbers with Applications, Wiley, New York, 2001.
- Vajda, S. Fibonacci & Lucas Numbers and the Golden Section, Theory and Applications, Ellis Horwood Ltd., Chishester, 1989.
- Cooper, C. An identity for period k second order linear recurrence systems, Cong. Numer. 200, 95–106, 2010.
- Sahin, M. The Gelin-Cesaro identity in some conditional Sequences, Hacettepe Journal of Mathematics and Statistics, 40, 855–861, 2011.
- Irmak, N. and Szalay, L. On k −periodic Binary Recurrence, Ann. Math. Inform. 40, 25–35, 20
Toplam 7 adet kaynakça vardır.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | İstatistik |
| Bölüm | Matematik |
| Yazarlar | |
| Yayımlanma Tarihi | 1 Nisan 2013 |
| Yayımlandığı Sayı | Yıl 2013 Cilt: 42 Sayı: 4 |