| Yazarlar |
Prof. Dr. Göksal BİLGİCİ
Kastamonu Üniversitesi, Türkiye |
| Özet |
| We define a generalization of Lucas sequence by the recurrence relation lm=blm-1+lm-2 (if m is even) or l m=alm-1+lm-2 (if m is odd) with initial conditions l0=2 and l1=a. We obtain some properties of the sequence {lm}m=0 and give some relations between this sequence and the generalized Fibonacci sequence {qm}m=0 which is defined in Edson and Yayenie (2009). Also, we give corresponding generalized Lucas sequence with the generalized Fibonacci sequence given in Yayenie (2011). © 2014 Elsevier Inc. All rights reserved. |
| Anahtar Kelimeler |
| Binet formula | Generalized Fibonacci sequence | Generalized Lucas sequence | Generating function |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
| Dergi Adı | APPLIED MATHEMATICS AND COMPUTATION |
| Dergi ISSN | 0096-3003 |
| Dergi Tarandığı Indeksler | SCI-Expanded |
| Makale Dili | İngilizce |
| Basım Tarihi | 10-2014 |
| Cilt No | 245 |
| Sayı | 1 |
| Sayfalar | 526 / 538 |
| Doi Numarası | 10.1016/j.amc.2014.07.111 |
| Makale Linki | http://linkinghub.elsevier.com/retrieve/pii/S0096300314010807 |
| Atıf Sayıları | |
| WoS | 59 |
| SCOPUS | 47 |
| Google Scholar | 124 |
