Two Generalizations of Lucas Sequence
Yazarlar (1)
Prof. Dr. Göksal BİLGİCİ Kastamonu Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Applied Mathematics and Computation | ||
| Dergi ISSN | 0096-3003 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 10-2014 |
| Cilt / Sayı / Sayfa | 245 / 1 / 526–538 | DOI | 10.1016/j.amc.2014.07.111 |
| Makale Linki | http://linkinghub.elsevier.com/retrieve/pii/S0096300314010807 | ||
| Özet |
| We define a generalization of Lucas sequence by the recurrence relation l m= bl m-1+ l m-2 (if m is even) or l m= al m-1+ l m-2 (if m is odd) with initial conditions l 0= 2 and l 1= a. We obtain some properties of the sequence {l m} m= 0∞ and give some relations between this sequence and the generalized Fibonacci sequence {q m} 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). |
| Anahtar Kelimeler |
| Binet formula | Generalized Fibonacci sequence | Generalized Lucas sequence | Generating function |
Science Direct
Two Generalizations of Lucas Sequence
| Atıf Sayıları | |
| Web of Science | 73 |
| Scopus | 61 |
| Google Scholar | 137 |