A Two-by-Two matrix representation of a generalized Fibonacci sequence
Yıl: 2018 Cilt: 47 Sayı: 3 Sayfa Aralığı: 637 - 648 Metin Dili: İngilizce DOI: 10.15672/HJMS.2017.477 İndeks Tarihi: 15-05-2019
A Two-by-Two matrix representation of a generalized Fibonacci sequence
Öz: The Fibonacci sequence is a well-known example of second order recurrence sequence, which belongs to a particular class of recursive sequences. In this article, other generalized Fibonacci sequence is introduced and defined by Hk,n+1 = 2Hk,n + kHk,n−1, n ≥ 1, Hk,0 = 2, Hk,1 = 1 and k is the positive real number. Also nth power of the generating matrix for this generalized Fibonacci sequence is established and some basic properties of this sequence are obtained by matrix methods.
Anahtar Kelime: Konular:
Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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| APA | WANİ A, RATHORE G, BADSHAH V, SİSODİYA K (2018). A Two-by-Two matrix representation of a generalized Fibonacci sequence. , 637 - 648. 10.15672/HJMS.2017.477 |
| Chicago | WANİ Arfat Ahmad,RATHORE G. P. S.,BADSHAH V. H.,SİSODİYA Kiran A Two-by-Two matrix representation of a generalized Fibonacci sequence. (2018): 637 - 648. 10.15672/HJMS.2017.477 |
| MLA | WANİ Arfat Ahmad,RATHORE G. P. S.,BADSHAH V. H.,SİSODİYA Kiran A Two-by-Two matrix representation of a generalized Fibonacci sequence. , 2018, ss.637 - 648. 10.15672/HJMS.2017.477 |
| AMA | WANİ A,RATHORE G,BADSHAH V,SİSODİYA K A Two-by-Two matrix representation of a generalized Fibonacci sequence. . 2018; 637 - 648. 10.15672/HJMS.2017.477 |
| Vancouver | WANİ A,RATHORE G,BADSHAH V,SİSODİYA K A Two-by-Two matrix representation of a generalized Fibonacci sequence. . 2018; 637 - 648. 10.15672/HJMS.2017.477 |
| IEEE | WANİ A,RATHORE G,BADSHAH V,SİSODİYA K "A Two-by-Two matrix representation of a generalized Fibonacci sequence." , ss.637 - 648, 2018. 10.15672/HJMS.2017.477 |
| ISNAD | WANİ, Arfat Ahmad vd. "A Two-by-Two matrix representation of a generalized Fibonacci sequence". (2018), 637-648. https://doi.org/10.15672/HJMS.2017.477 |
| APA | WANİ A, RATHORE G, BADSHAH V, SİSODİYA K (2018). A Two-by-Two matrix representation of a generalized Fibonacci sequence. Hacettepe Journal of Mathematics and Statistics, 47(3), 637 - 648. 10.15672/HJMS.2017.477 |
| Chicago | WANİ Arfat Ahmad,RATHORE G. P. S.,BADSHAH V. H.,SİSODİYA Kiran A Two-by-Two matrix representation of a generalized Fibonacci sequence. Hacettepe Journal of Mathematics and Statistics 47, no.3 (2018): 637 - 648. 10.15672/HJMS.2017.477 |
| MLA | WANİ Arfat Ahmad,RATHORE G. P. S.,BADSHAH V. H.,SİSODİYA Kiran A Two-by-Two matrix representation of a generalized Fibonacci sequence. Hacettepe Journal of Mathematics and Statistics, vol.47, no.3, 2018, ss.637 - 648. 10.15672/HJMS.2017.477 |
| AMA | WANİ A,RATHORE G,BADSHAH V,SİSODİYA K A Two-by-Two matrix representation of a generalized Fibonacci sequence. Hacettepe Journal of Mathematics and Statistics. 2018; 47(3): 637 - 648. 10.15672/HJMS.2017.477 |
| Vancouver | WANİ A,RATHORE G,BADSHAH V,SİSODİYA K A Two-by-Two matrix representation of a generalized Fibonacci sequence. Hacettepe Journal of Mathematics and Statistics. 2018; 47(3): 637 - 648. 10.15672/HJMS.2017.477 |
| IEEE | WANİ A,RATHORE G,BADSHAH V,SİSODİYA K "A Two-by-Two matrix representation of a generalized Fibonacci sequence." Hacettepe Journal of Mathematics and Statistics, 47, ss.637 - 648, 2018. 10.15672/HJMS.2017.477 |
| ISNAD | WANİ, Arfat Ahmad vd. "A Two-by-Two matrix representation of a generalized Fibonacci sequence". Hacettepe Journal of Mathematics and Statistics 47/3 (2018), 637-648. https://doi.org/10.15672/HJMS.2017.477 |
